# HG changeset patch
# User Alpar Juttner <alpar@cs.elte.hu>
# Date 1260461905 -3600
# Node ID 1b89e29c9fc76703994661a4d9193ebf8198e151
# Parent  994c7df296c94a4705d55e67858911b2e6991e86# Parent  28c7ad6f8d912e33ecdac866af26872de1cecc2c
Merge bugfix #330

diff -r 994c7df296c9 -r 1b89e29c9fc7 CMakeLists.txt
--- a/CMakeLists.txt	Thu Dec 10 17:05:35 2009 +0100
+++ b/CMakeLists.txt	Thu Dec 10 17:18:25 2009 +0100
@@ -35,6 +35,8 @@
 CHECK_TYPE_SIZE("long long" LONG_LONG)
 SET(LEMON_HAVE_LONG_LONG ${HAVE_LONG_LONG})
 
+INCLUDE(FindPythonInterp)
+
 ENABLE_TESTING()
 
 ADD_SUBDIRECTORY(lemon)
diff -r 994c7df296c9 -r 1b89e29c9fc7 Makefile.am
--- a/Makefile.am	Thu Dec 10 17:05:35 2009 +0100
+++ b/Makefile.am	Thu Dec 10 17:18:25 2009 +0100
@@ -17,6 +17,7 @@
 	cmake/FindCPLEX.cmake \
 	cmake/FindGLPK.cmake \
 	cmake/FindCOIN.cmake \
+	cmake/LEMONConfig.cmake.in \
 	cmake/version.cmake.in \
 	cmake/version.cmake \
 	cmake/nsis/lemon.ico \
@@ -43,6 +44,7 @@
 include test/Makefile.am
 include doc/Makefile.am
 include tools/Makefile.am
+include scripts/Makefile.am
 
 DIST_SUBDIRS = demo
 
diff -r 994c7df296c9 -r 1b89e29c9fc7 configure.ac
--- a/configure.ac	Thu Dec 10 17:05:35 2009 +0100
+++ b/configure.ac	Thu Dec 10 17:18:25 2009 +0100
@@ -41,6 +41,7 @@
 AC_PROG_LIBTOOL
 
 AC_CHECK_PROG([doxygen_found],[doxygen],[yes],[no])
+AC_CHECK_PROG([python_found],[python],[yes],[no])
 AC_CHECK_PROG([gs_found],[gs],[yes],[no])
 
 dnl Detect Intel compiler.
@@ -82,6 +83,21 @@
 fi
 AM_CONDITIONAL([WANT_TOOLS], [test x"$enable_tools" != x"no"])
 
+dnl Support for running test cases using valgrind.
+use_valgrind=no
+AC_ARG_ENABLE([valgrind],
+AS_HELP_STRING([--enable-valgrind], [use valgrind when running tests]),
+              [use_valgrind=yes])
+
+if [[ "$use_valgrind" = "yes" ]]; then
+  AC_CHECK_PROG(HAVE_VALGRIND, valgrind, yes, no)
+
+  if [[ "$HAVE_VALGRIND" = "no" ]]; then
+    AC_MSG_ERROR([Valgrind not found in PATH.])
+  fi
+fi
+AM_CONDITIONAL(USE_VALGRIND, [test "$use_valgrind" = "yes"])
+
 dnl Checks for header files.
 AC_CHECK_HEADERS(limits.h sys/time.h sys/times.h unistd.h)
 
@@ -127,6 +143,7 @@
 echo CBC support................... : $lx_cbc_found
 echo
 echo Build additional tools........ : $enable_tools
+echo Use valgrind for tests........ : $use_valgrind
 echo
 echo The packace will be installed in
 echo -n '  '
diff -r 994c7df296c9 -r 1b89e29c9fc7 doc/CMakeLists.txt
--- a/doc/CMakeLists.txt	Thu Dec 10 17:05:35 2009 +0100
+++ b/doc/CMakeLists.txt	Thu Dec 10 17:18:25 2009 +0100
@@ -9,7 +9,7 @@
   @ONLY
 )
 
-IF(DOXYGEN_EXECUTABLE AND GHOSTSCRIPT_EXECUTABLE)
+IF(DOXYGEN_EXECUTABLE AND PYTHONINTERP_FOUND AND GHOSTSCRIPT_EXECUTABLE)
   FILE(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/html/)
   SET(GHOSTSCRIPT_OPTIONS -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha)
   ADD_CUSTOM_TARGET(html
@@ -28,6 +28,7 @@
     COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/nodeshape_4.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_4.eps
     COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/strongly_connected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/strongly_connected_components.eps
     COMMAND ${CMAKE_COMMAND} -E remove_directory html
+    COMMAND ${PYTHON_EXECUTABLE} ${PROJECT_SOURCE_DIR}/scripts/bib2dox.py ${CMAKE_CURRENT_SOURCE_DIR}/references.bib >references.dox
     COMMAND ${DOXYGEN_EXECUTABLE} Doxyfile
     WORKING_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}
   )
diff -r 994c7df296c9 -r 1b89e29c9fc7 doc/Doxyfile.in
--- a/doc/Doxyfile.in	Thu Dec 10 17:05:35 2009 +0100
+++ b/doc/Doxyfile.in	Thu Dec 10 17:18:25 2009 +0100
@@ -1,4 +1,4 @@
-# Doxyfile 1.5.7.1
+# Doxyfile 1.5.9
 
 #---------------------------------------------------------------------------
 # Project related configuration options
@@ -21,7 +21,6 @@
 JAVADOC_AUTOBRIEF      = NO
 QT_AUTOBRIEF           = NO
 MULTILINE_CPP_IS_BRIEF = NO
-DETAILS_AT_TOP         = YES
 INHERIT_DOCS           = NO
 SEPARATE_MEMBER_PAGES  = NO
 TAB_SIZE               = 8
@@ -91,7 +90,8 @@
                          "@abs_top_srcdir@/lemon/concepts" \
                          "@abs_top_srcdir@/demo" \
                          "@abs_top_srcdir@/tools" \
-                         "@abs_top_srcdir@/test/test_tools.h"
+                         "@abs_top_srcdir@/test/test_tools.h" \
+                         "@abs_top_builddir@/doc/references.dox"
 INPUT_ENCODING         = UTF-8
 FILE_PATTERNS          = *.h \
                          *.cc \
@@ -223,7 +223,7 @@
 EXPAND_AS_DEFINED      = 
 SKIP_FUNCTION_MACROS   = YES
 #---------------------------------------------------------------------------
-# Configuration::additions related to external references   
+# Options related to the search engine   
 #---------------------------------------------------------------------------
 TAGFILES               = "@abs_top_srcdir@/doc/libstdc++.tag = http://gcc.gnu.org/onlinedocs/libstdc++/latest-doxygen/  "
 GENERATE_TAGFILE       = html/lemon.tag
diff -r 994c7df296c9 -r 1b89e29c9fc7 doc/Makefile.am
--- a/doc/Makefile.am	Thu Dec 10 17:05:35 2009 +0100
+++ b/doc/Makefile.am	Thu Dec 10 17:18:25 2009 +0100
@@ -66,7 +66,19 @@
 	  exit 1; \
 	fi
 
-html-local: $(DOC_PNG_IMAGES)
+references.dox: doc/references.bib
+	if test ${python_found} = yes; then \
+	  cd doc; \
+	  python @abs_top_srcdir@/scripts/bib2dox.py @abs_top_builddir@/$< >$@; \
+	  cd ..; \
+	else \
+	  echo; \
+	  echo "Python not found."; \
+	  echo; \
+	  exit 1; \
+	fi
+
+html-local: $(DOC_PNG_IMAGES) references.dox
 	if test ${doxygen_found} = yes; then \
 	  cd doc; \
 	  doxygen Doxyfile; \
diff -r 994c7df296c9 -r 1b89e29c9fc7 doc/groups.dox
--- a/doc/groups.dox	Thu Dec 10 17:05:35 2009 +0100
+++ b/doc/groups.dox	Thu Dec 10 17:18:25 2009 +0100
@@ -226,14 +226,6 @@
 */
 
 /**
-@defgroup matrices Matrices
-@ingroup datas
-\brief Two dimensional data storages implemented in LEMON.
-
-This group contains two dimensional data storages implemented in LEMON.
-*/
-
-/**
 @defgroup paths Path Structures
 @ingroup datas
 \brief %Path structures implemented in LEMON.
@@ -246,7 +238,36 @@
 efficient to have e.g. the Dijkstra algorithm to store its result in
 any kind of path structure.
 
-\sa lemon::concepts::Path
+\sa \ref concepts::Path "Path concept"
+*/
+
+/**
+@defgroup heaps Heap Structures
+@ingroup datas
+\brief %Heap structures implemented in LEMON.
+
+This group contains the heap structures implemented in LEMON.
+
+LEMON provides several heap classes. They are efficient implementations
+of the abstract data type \e priority \e queue. They store items with
+specified values called \e priorities in such a way that finding and
+removing the item with minimum priority are efficient.
+The basic operations are adding and erasing items, changing the priority
+of an item, etc.
+
+Heaps are crucial in several algorithms, such as Dijkstra and Prim.
+The heap implementations have the same interface, thus any of them can be
+used easily in such algorithms.
+
+\sa \ref concepts::Heap "Heap concept"
+*/
+
+/**
+@defgroup matrices Matrices
+@ingroup datas
+\brief Two dimensional data storages implemented in LEMON.
+
+This group contains two dimensional data storages implemented in LEMON.
 */
 
 /**
@@ -259,6 +280,28 @@
 */
 
 /**
+@defgroup geomdat Geometric Data Structures
+@ingroup auxdat
+\brief Geometric data structures implemented in LEMON.
+
+This group contains geometric data structures implemented in LEMON.
+
+ - \ref lemon::dim2::Point "dim2::Point" implements a two dimensional
+   vector with the usual operations.
+ - \ref lemon::dim2::Box "dim2::Box" can be used to determine the
+   rectangular bounding box of a set of \ref lemon::dim2::Point
+   "dim2::Point"'s.
+*/
+
+/**
+@defgroup matrices Matrices
+@ingroup auxdat
+\brief Two dimensional data storages implemented in LEMON.
+
+This group contains two dimensional data storages implemented in LEMON.
+*/
+
+/**
 @defgroup algs Algorithms
 \brief This group contains the several algorithms
 implemented in LEMON.
@@ -273,7 +316,8 @@
 \brief Common graph search algorithms.
 
 This group contains the common graph search algorithms, namely
-\e breadth-first \e search (BFS) and \e depth-first \e search (DFS).
+\e breadth-first \e search (BFS) and \e depth-first \e search (DFS)
+\ref clrs01algorithms.
 */
 
 /**
@@ -281,7 +325,8 @@
 @ingroup algs
 \brief Algorithms for finding shortest paths.
 
-This group contains the algorithms for finding shortest paths in digraphs.
+This group contains the algorithms for finding shortest paths in digraphs
+\ref clrs01algorithms.
 
  - \ref Dijkstra algorithm for finding shortest paths from a source node
    when all arc lengths are non-negative.
@@ -298,12 +343,21 @@
 */
 
 /**
+@defgroup spantree Minimum Spanning Tree Algorithms
+@ingroup algs
+\brief Algorithms for finding minimum cost spanning trees and arborescences.
+
+This group contains the algorithms for finding minimum cost spanning
+trees and arborescences \ref clrs01algorithms.
+*/
+
+/**
 @defgroup max_flow Maximum Flow Algorithms
 @ingroup algs
 \brief Algorithms for finding maximum flows.
 
 This group contains the algorithms for finding maximum flows and
-feasible circulations.
+feasible circulations \ref clrs01algorithms, \ref amo93networkflows.
 
 The \e maximum \e flow \e problem is to find a flow of maximum value between
 a single source and a single target. Formally, there is a \f$G=(V,A)\f$
@@ -318,12 +372,16 @@
 \f[ 0 \leq f(uv) \leq cap(uv) \quad \forall uv\in A \f]
 
 LEMON contains several algorithms for solving maximum flow problems:
-- \ref EdmondsKarp Edmonds-Karp algorithm.
-- \ref Preflow Goldberg-Tarjan's preflow push-relabel algorithm.
-- \ref DinitzSleatorTarjan Dinitz's blocking flow algorithm with dynamic trees.
-- \ref GoldbergTarjan Preflow push-relabel algorithm with dynamic trees.
+- \ref EdmondsKarp Edmonds-Karp algorithm
+  \ref edmondskarp72theoretical.
+- \ref Preflow Goldberg-Tarjan's preflow push-relabel algorithm
+  \ref goldberg88newapproach.
+- \ref DinitzSleatorTarjan Dinitz's blocking flow algorithm with dynamic trees
+  \ref dinic70algorithm, \ref sleator83dynamic.
+- \ref GoldbergTarjan !Preflow push-relabel algorithm with dynamic trees
+  \ref goldberg88newapproach, \ref sleator83dynamic.
 
-In most cases the \ref Preflow "Preflow" algorithm provides the
+In most cases the \ref Preflow algorithm provides the
 fastest method for computing a maximum flow. All implementations
 also provide functions to query the minimum cut, which is the dual
 problem of maximum flow.
@@ -341,18 +399,22 @@
 \brief Algorithms for finding minimum cost flows and circulations.
 
 This group contains the algorithms for finding minimum cost flows and
-circulations. For more information about this problem and its dual
-solution see \ref min_cost_flow "Minimum Cost Flow Problem".
+circulations \ref amo93networkflows. For more information about this
+problem and its dual solution, see \ref min_cost_flow
+"Minimum Cost Flow Problem".
 
 LEMON contains several algorithms for this problem.
  - \ref NetworkSimplex Primal Network Simplex algorithm with various
-   pivot strategies.
+   pivot strategies \ref dantzig63linearprog, \ref kellyoneill91netsimplex.
  - \ref CostScaling Push-Relabel and Augment-Relabel algorithms based on
-   cost scaling.
+   cost scaling \ref goldberg90approximation, \ref goldberg97efficient,
+   \ref bunnagel98efficient.
  - \ref CapacityScaling Successive Shortest %Path algorithm with optional
-   capacity scaling.
- - \ref CancelAndTighten The Cancel and Tighten algorithm.
- - \ref CycleCanceling Cycle-Canceling algorithms.
+   capacity scaling \ref edmondskarp72theoretical.
+ - \ref CancelAndTighten The Cancel and Tighten algorithm
+   \ref goldberg89cyclecanceling.
+ - \ref CycleCanceling Cycle-Canceling algorithms
+   \ref klein67primal, \ref goldberg89cyclecanceling.
 
 In general NetworkSimplex is the most efficient implementation,
 but in special cases other algorithms could be faster.
@@ -375,7 +437,7 @@
 cut is the \f$X\f$ solution of the next optimization problem:
 
 \f[ \min_{X \subset V, X\not\in \{\emptyset, V\}}
-    \sum_{uv\in A, u\in X, v\not\in X}cap(uv) \f]
+    \sum_{uv\in A: u\in X, v\not\in X}cap(uv) \f]
 
 LEMON contains several algorithms related to minimum cut problems:
 
@@ -391,27 +453,40 @@
 */
 
 /**
-@defgroup graph_properties Connectivity and Other Graph Properties
+@defgroup min_mean_cycle Minimum Mean Cycle Algorithms
 @ingroup algs
-\brief Algorithms for discovering the graph properties
+\brief Algorithms for finding minimum mean cycles.
 
-This group contains the algorithms for discovering the graph properties
-like connectivity, bipartiteness, euler property, simplicity etc.
+This group contains the algorithms for finding minimum mean cycles
+\ref clrs01algorithms, \ref amo93networkflows.
 
-\image html edge_biconnected_components.png
-\image latex edge_biconnected_components.eps "bi-edge-connected components" width=\textwidth
-*/
+The \e minimum \e mean \e cycle \e problem is to find a directed cycle
+of minimum mean length (cost) in a digraph.
+The mean length of a cycle is the average length of its arcs, i.e. the
+ratio between the total length of the cycle and the number of arcs on it.
 
-/**
-@defgroup planar Planarity Embedding and Drawing
-@ingroup algs
-\brief Algorithms for planarity checking, embedding and drawing
+This problem has an important connection to \e conservative \e length
+\e functions, too. A length function on the arcs of a digraph is called
+conservative if and only if there is no directed cycle of negative total
+length. For an arbitrary length function, the negative of the minimum
+cycle mean is the smallest \f$\epsilon\f$ value so that increasing the
+arc lengths uniformly by \f$\epsilon\f$ results in a conservative length
+function.
 
-This group contains the algorithms for planarity checking,
-embedding and drawing.
+LEMON contains three algorithms for solving the minimum mean cycle problem:
+- \ref Karp "Karp"'s original algorithm \ref amo93networkflows,
+  \ref dasdan98minmeancycle.
+- \ref HartmannOrlin "Hartmann-Orlin"'s algorithm, which is an improved
+  version of Karp's algorithm \ref dasdan98minmeancycle.
+- \ref Howard "Howard"'s policy iteration algorithm
+  \ref dasdan98minmeancycle.
 
-\image html planar.png
-\image latex planar.eps "Plane graph" width=\textwidth
+In practice, the Howard algorithm proved to be by far the most efficient
+one, though the best known theoretical bound on its running time is
+exponential.
+Both Karp and HartmannOrlin algorithms run in time O(ne) and use space
+O(n<sup>2</sup>+e), but the latter one is typically faster due to the
+applied early termination scheme.
 */
 
 /**
@@ -455,12 +530,36 @@
 */
 
 /**
-@defgroup spantree Minimum Spanning Tree Algorithms
+@defgroup graph_properties Connectivity and Other Graph Properties
 @ingroup algs
-\brief Algorithms for finding minimum cost spanning trees and arborescences.
+\brief Algorithms for discovering the graph properties
 
-This group contains the algorithms for finding minimum cost spanning
-trees and arborescences.
+This group contains the algorithms for discovering the graph properties
+like connectivity, bipartiteness, euler property, simplicity etc.
+
+\image html connected_components.png
+\image latex connected_components.eps "Connected components" width=\textwidth
+*/
+
+/**
+@defgroup planar Planarity Embedding and Drawing
+@ingroup algs
+\brief Algorithms for planarity checking, embedding and drawing
+
+This group contains the algorithms for planarity checking,
+embedding and drawing.
+
+\image html planar.png
+\image latex planar.eps "Plane graph" width=\textwidth
+*/
+
+/**
+@defgroup approx Approximation Algorithms
+@ingroup algs
+\brief Approximation algorithms.
+
+This group contains the approximation and heuristic algorithms
+implemented in LEMON.
 */
 
 /**
@@ -473,15 +572,6 @@
 */
 
 /**
-@defgroup approx Approximation Algorithms
-@ingroup algs
-\brief Approximation algorithms.
-
-This group contains the approximation and heuristic algorithms
-implemented in LEMON.
-*/
-
-/**
 @defgroup gen_opt_group General Optimization Tools
 \brief This group contains some general optimization frameworks
 implemented in LEMON.
@@ -491,13 +581,16 @@
 */
 
 /**
-@defgroup lp_group Lp and Mip Solvers
+@defgroup lp_group LP and MIP Solvers
 @ingroup gen_opt_group
-\brief Lp and Mip solver interfaces for LEMON.
+\brief LP and MIP solver interfaces for LEMON.
 
-This group contains Lp and Mip solver interfaces for LEMON. The
-various LP solvers could be used in the same manner with this
-interface.
+This group contains LP and MIP solver interfaces for LEMON.
+Various LP solvers could be used in the same manner with this
+high-level interface.
+
+The currently supported solvers are \ref glpk, \ref clp, \ref cbc,
+\ref cplex, \ref soplex.
 */
 
 /**
@@ -587,7 +680,7 @@
 */
 
 /**
-@defgroup dimacs_group DIMACS format
+@defgroup dimacs_group DIMACS Format
 @ingroup io_group
 \brief Read and write files in DIMACS format
 
@@ -636,8 +729,8 @@
 @ingroup concept
 \brief Skeleton and concept checking classes for graph structures
 
-This group contains the skeletons and concept checking classes of LEMON's
-graph structures and helper classes used to implement these.
+This group contains the skeletons and concept checking classes of
+graph structures.
 */
 
 /**
@@ -649,6 +742,15 @@
 */
 
 /**
+@defgroup tools Standalone Utility Applications
+
+Some utility applications are listed here.
+
+The standard compilation procedure (<tt>./configure;make</tt>) will compile
+them, as well.
+*/
+
+/**
 \anchor demoprograms
 
 @defgroup demos Demo Programs
@@ -660,13 +762,4 @@
 <tt>make check</tt> commands.
 */
 
-/**
-@defgroup tools Standalone Utility Applications
-
-Some utility applications are listed here.
-
-The standard compilation procedure (<tt>./configure;make</tt>) will compile
-them, as well.
-*/
-
 }
diff -r 994c7df296c9 -r 1b89e29c9fc7 doc/mainpage.dox
--- a/doc/mainpage.dox	Thu Dec 10 17:05:35 2009 +0100
+++ b/doc/mainpage.dox	Thu Dec 10 17:18:25 2009 +0100
@@ -21,14 +21,11 @@
 
 \section intro Introduction
 
-\subsection whatis What is LEMON
-
-LEMON stands for <b>L</b>ibrary for <b>E</b>fficient <b>M</b>odeling
-and <b>O</b>ptimization in <b>N</b>etworks.
-It is a C++ template
-library aimed at combinatorial optimization tasks which
-often involve in working
-with graphs.
+<b>LEMON</b> stands for <i><b>L</b>ibrary for <b>E</b>fficient <b>M</b>odeling
+and <b>O</b>ptimization in <b>N</b>etworks</i>.
+It is a C++ template library providing efficient implementation of common
+data structures and algorithms with focus on combinatorial optimization
+problems in graphs and networks.
 
 <b>
 LEMON is an <a class="el" href="http://opensource.org/">open&nbsp;source</a>
@@ -38,7 +35,16 @@
 \ref license "license terms".
 </b>
 
-\subsection howtoread How to read the documentation
+The project is maintained by the 
+<a href="http://www.cs.elte.hu/egres/">Egerv&aacute;ry Research Group on
+Combinatorial Optimization</a> \ref egres
+at the Operations Research Department of the
+<a href="http://www.elte.hu/">E&ouml;tv&ouml;s Lor&aacute;nd University,
+Budapest</a>, Hungary.
+LEMON is also a member of the <a href="http://www.coin-or.org/">COIN-OR</a>
+initiative \ref coinor.
+
+\section howtoread How to Read the Documentation
 
 If you would like to get to know the library, see
 <a class="el" href="http://lemon.cs.elte.hu/pub/tutorial/">LEMON Tutorial</a>.
diff -r 994c7df296c9 -r 1b89e29c9fc7 doc/min_cost_flow.dox
--- a/doc/min_cost_flow.dox	Thu Dec 10 17:05:35 2009 +0100
+++ b/doc/min_cost_flow.dox	Thu Dec 10 17:18:25 2009 +0100
@@ -26,7 +26,7 @@
 The \e minimum \e cost \e flow \e problem is to find a feasible flow of
 minimum total cost from a set of supply nodes to a set of demand nodes
 in a network with capacity constraints (lower and upper bounds)
-and arc costs.
+and arc costs \ref amo93networkflows.
 
 Formally, let \f$G=(V,A)\f$ be a digraph, \f$lower: A\rightarrow\mathbf{R}\f$,
 \f$upper: A\rightarrow\mathbf{R}\cup\{+\infty\}\f$ denote the lower and
@@ -78,7 +78,7 @@
    - if \f$lower(uv)<f(uv)<upper(uv)\f$, then \f$cost^\pi(uv)=0\f$;
    - if \f$cost^\pi(uv)<0\f$, then \f$f(uv)=upper(uv)\f$.
  - For all \f$u\in V\f$ nodes:
-   - \f$\pi(u)<=0\f$;
+   - \f$\pi(u)\leq 0\f$;
    - if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$,
      then \f$\pi(u)=0\f$.
  
@@ -145,7 +145,7 @@
    - if \f$lower(uv)<f(uv)<upper(uv)\f$, then \f$cost^\pi(uv)=0\f$;
    - if \f$cost^\pi(uv)<0\f$, then \f$f(uv)=upper(uv)\f$.
  - For all \f$u\in V\f$ nodes:
-   - \f$\pi(u)>=0\f$;
+   - \f$\pi(u)\geq 0\f$;
    - if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$,
      then \f$\pi(u)=0\f$.
 
diff -r 994c7df296c9 -r 1b89e29c9fc7 doc/references.bib
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/doc/references.bib	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,301 @@
+%%%%% Defining LEMON %%%%%
+
+@misc{lemon,
+  key =          {LEMON},
+  title =        {{LEMON} -- {L}ibrary for {E}fficient {M}odeling and
+                  {O}ptimization in {N}etworks},
+  howpublished = {\url{http://lemon.cs.elte.hu/}},
+  year =         2009
+}
+
+@misc{egres,
+  key =          {EGRES},
+  title =        {{EGRES} -- {E}gerv{\'a}ry {R}esearch {G}roup on
+                  {C}ombinatorial {O}ptimization},
+  url =          {http://www.cs.elte.hu/egres/}
+}
+
+@misc{coinor,
+  key =          {COIN-OR},
+  title =        {{COIN-OR} -- {C}omputational {I}nfrastructure for
+                  {O}perations {R}esearch},
+  url =          {http://www.coin-or.org/}
+}
+
+
+%%%%% Other libraries %%%%%%
+
+@misc{boost,
+  key =          {Boost},
+  title =        {{B}oost {C++} {L}ibraries},
+  url =          {http://www.boost.org/}
+}
+
+@book{bglbook,
+  author =       {Jeremy G. Siek and Lee-Quan Lee and Andrew
+                  Lumsdaine},
+  title =        {The Boost Graph Library: User Guide and Reference
+                  Manual},
+  publisher =    {Addison-Wesley},
+  year =         2002
+}
+
+@misc{leda,
+  key =          {LEDA},
+  title =        {{LEDA} -- {L}ibrary of {E}fficient {D}ata {T}ypes and
+                  {A}lgorithms},
+  url =          {http://www.algorithmic-solutions.com/}
+}
+
+@book{ledabook,
+  author =       {Kurt Mehlhorn and Stefan N{\"a}her},
+  title =        {{LEDA}: {A} platform for combinatorial and geometric
+                  computing},
+  isbn =         {0-521-56329-1},
+  publisher =    {Cambridge University Press},
+  address =      {New York, NY, USA},
+  year =         1999
+}
+
+
+%%%%% Tools that LEMON depends on %%%%%
+
+@misc{cmake,
+  key =          {CMake},
+  title =        {{CMake} -- {C}ross {P}latform {M}ake},
+  url =          {http://www.cmake.org/}
+}
+
+@misc{doxygen,
+  key =          {Doxygen},
+  title =        {{Doxygen} -- {S}ource code documentation generator
+                  tool},
+  url =          {http://www.doxygen.org/}
+}
+
+
+%%%%% LP/MIP libraries %%%%%
+
+@misc{glpk,
+  key =          {GLPK},
+  title =        {{GLPK} -- {GNU} {L}inear {P}rogramming {K}it},
+  url =          {http://www.gnu.org/software/glpk/}
+}
+
+@misc{clp,
+  key =          {Clp},
+  title =        {{Clp} -- {Coin-Or} {L}inear {P}rogramming},
+  url =          {http://projects.coin-or.org/Clp/}
+}
+
+@misc{cbc,
+  key =          {Cbc},
+  title =        {{Cbc} -- {Coin-Or} {B}ranch and {C}ut},
+  url =          {http://projects.coin-or.org/Cbc/}
+}
+
+@misc{cplex,
+  key =          {CPLEX},
+  title =        {{ILOG} {CPLEX}},
+  url =          {http://www.ilog.com/}
+}
+
+@misc{soplex,
+  key =          {SoPlex},
+  title =        {{SoPlex} -- {T}he {S}equential {O}bject-{O}riented
+                  {S}implex},
+  url =          {http://soplex.zib.de/}
+}
+
+
+%%%%% General books %%%%%
+
+@book{amo93networkflows,
+  author =       {Ravindra K. Ahuja and Thomas L. Magnanti and James
+                  B. Orlin},
+  title =        {Network Flows: Theory, Algorithms, and Applications},
+  publisher =    {Prentice-Hall, Inc.},
+  year =         1993,
+  month =        feb,
+  isbn =         {978-0136175490}
+}
+
+@book{schrijver03combinatorial,
+  author =       {Alexander Schrijver},
+  title =        {Combinatorial Optimization: Polyhedra and Efficiency},
+  publisher =    {Springer-Verlag},
+  year =         2003,
+  isbn =         {978-3540443896}
+}
+
+@book{clrs01algorithms,
+  author =       {Thomas H. Cormen and Charles E. Leiserson and Ronald
+                  L. Rivest and Clifford Stein},
+  title =        {Introduction to Algorithms},
+  publisher =    {The MIT Press},
+  year =         2001,
+  edition =      {2nd}
+}
+
+@book{stroustrup00cpp,
+  author =       {Bjarne Stroustrup},
+  title =        {The C++ Programming Language},
+  edition =      {3rd},
+  publisher =    {Addison-Wesley Professional},
+  isbn =         0201700735,
+  month =        {February},
+  year =         2000
+}
+
+
+%%%%% Maximum flow algorithms %%%%%
+
+@article{edmondskarp72theoretical,
+  author =       {Jack Edmonds and Richard M. Karp},
+  title =        {Theoretical improvements in algorithmic efficiency
+                  for network flow problems},
+  journal =      {Journal of the ACM},
+  year =         1972,
+  volume =       19,
+  number =       2,
+  pages =        {248-264}
+}
+
+@article{goldberg88newapproach,
+  author =       {Andrew V. Goldberg and Robert E. Tarjan},
+  title =        {A new approach to the maximum flow problem},
+  journal =      {Journal of the ACM},
+  year =         1988,
+  volume =       35,
+  number =       4,
+  pages =        {921-940}
+}
+
+@article{dinic70algorithm,
+  author =       {E. A. Dinic},
+  title =        {Algorithm for solution of a problem of maximum flow
+                  in a network with power estimation},
+  journal =      {Soviet Math. Doklady},
+  year =         1970,
+  volume =       11,
+  pages =        {1277-1280}
+}
+
+@article{goldberg08partial,
+  author =       {Andrew V. Goldberg},
+  title =        {The Partial Augment-Relabel Algorithm for the
+                  Maximum Flow Problem},
+  journal =      {16th Annual European Symposium on Algorithms},
+  year =         2008,
+  pages =        {466-477}
+}
+
+@article{sleator83dynamic,
+  author =       {Daniel D. Sleator and Robert E. Tarjan},
+  title =        {A data structure for dynamic trees},
+  journal =      {Journal of Computer and System Sciences},
+  year =         1983,
+  volume =       26,
+  number =       3,
+  pages =        {362-391}
+}
+
+
+%%%%% Minimum mean cycle algorithms %%%%%
+
+@article{karp78characterization,
+  author =       {Richard M. Karp},
+  title =        {A characterization of the minimum cycle mean in a
+                  digraph},
+  journal =      {Discrete Math.},
+  year =         1978,
+  volume =       23,
+  pages =        {309-311}
+}
+
+@article{dasdan98minmeancycle,
+  author =       {Ali Dasdan and Rajesh K. Gupta},
+  title =        {Faster Maximum and Minimum Mean Cycle Alogrithms for
+                  System Performance Analysis},
+  journal =      {IEEE Transactions on Computer-Aided Design of
+                  Integrated Circuits and Systems},
+  year =         1998,
+  volume =       17,
+  number =       10,
+  pages =        {889-899}
+}
+
+
+%%%%% Minimum cost flow algorithms %%%%%
+
+@article{klein67primal,
+  author =       {Morton Klein},
+  title =        {A primal method for minimal cost flows with
+                  applications to the assignment and transportation
+                  problems},
+  journal =      {Management Science},
+  year =         1967,
+  volume =       14,
+  pages =        {205-220}
+}
+
+@article{goldberg89cyclecanceling,
+  author =       {Andrew V. Goldberg and Robert E. Tarjan},
+  title =        {Finding minimum-cost circulations by canceling
+                  negative cycles},
+  journal =      {Journal of the ACM},
+  year =         1989,
+  volume =       36,
+  number =       4,
+  pages =        {873-886}
+}
+
+@article{goldberg90approximation,
+  author =       {Andrew V. Goldberg and Robert E. Tarjan},
+  title =        {Finding Minimum-Cost Circulations by Successive
+                  Approximation},
+  journal =      {Mathematics of Operations Research},
+  year =         1990,
+  volume =       15,
+  number =       3,
+  pages =        {430-466}
+}
+
+@article{goldberg97efficient,
+  author =       {Andrew V. Goldberg},
+  title =        {An Efficient Implementation of a Scaling
+                  Minimum-Cost Flow Algorithm},
+  journal =      {Journal of Algorithms},
+  year =         1997,
+  volume =       22,
+  number =       1,
+  pages =        {1-29}
+}
+
+@article{bunnagel98efficient,
+  author =       {Ursula B{\"u}nnagel and Bernhard Korte and Jens
+                  Vygen},
+  title =        {Efficient implementation of the {G}oldberg-{T}arjan
+                  minimum-cost flow algorithm},
+  journal =      {Optimization Methods and Software},
+  year =         1998,
+  volume =       10,
+  pages =        {157-174}
+}
+
+@book{dantzig63linearprog,
+  author =       {George B. Dantzig},
+  title =        {Linear Programming and Extensions},
+  publisher =    {Princeton University Press},
+  year =         1963
+}
+
+@mastersthesis{kellyoneill91netsimplex,
+  author =       {Damian J. Kelly and Garrett M. O'Neill},
+  title =        {The Minimum Cost Flow Problem and The Network
+                  Simplex Method},
+  school =       {University College},
+  address =      {Dublin, Ireland},
+  year =         1991,
+  month =        sep,
+}
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/Makefile.am
--- a/lemon/Makefile.am	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/Makefile.am	Thu Dec 10 17:18:25 2009 +0100
@@ -57,8 +57,10 @@
 	lemon/adaptors.h \
 	lemon/arg_parser.h \
 	lemon/assert.h \
+	lemon/bellman_ford.h \
 	lemon/bfs.h \
 	lemon/bin_heap.h \
+	lemon/binom_heap.h \
 	lemon/bucket_heap.h \
 	lemon/cbc.h \
 	lemon/circulation.h \
@@ -78,12 +80,17 @@
 	lemon/error.h \
 	lemon/euler.h \
 	lemon/fib_heap.h \
+	lemon/fourary_heap.h \
 	lemon/full_graph.h \
 	lemon/glpk.h \
 	lemon/gomory_hu.h \
 	lemon/graph_to_eps.h \
 	lemon/grid_graph.h \
+	lemon/hartmann_orlin.h \
+	lemon/howard.h \
 	lemon/hypercube_graph.h \
+	lemon/karp.h \
+	lemon/kary_heap.h \
 	lemon/kruskal.h \
 	lemon/hao_orlin.h \
 	lemon/lgf_reader.h \
@@ -92,20 +99,22 @@
 	lemon/lp.h \
 	lemon/lp_base.h \
 	lemon/lp_skeleton.h \
-	lemon/list_graph.h \
 	lemon/maps.h \
 	lemon/matching.h \
 	lemon/math.h \
 	lemon/min_cost_arborescence.h \
 	lemon/nauty_reader.h \
 	lemon/network_simplex.h \
+	lemon/pairing_heap.h \
 	lemon/path.h \
+	lemon/planarity.h \
 	lemon/preflow.h \
 	lemon/radix_heap.h \
 	lemon/radix_sort.h \
 	lemon/random.h \
 	lemon/smart_graph.h \
 	lemon/soplex.h \
+	lemon/static_graph.h \
 	lemon/suurballe.h \
 	lemon/time_measure.h \
 	lemon/tolerance.h \
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/adaptors.h
--- a/lemon/adaptors.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/adaptors.h	Thu Dec 10 17:18:25 2009 +0100
@@ -360,6 +360,9 @@
   /// by adding or removing nodes or arcs, unless the \c GR template
   /// parameter is set to be \c const.
   ///
+  /// This class provides item counting in the same time as the adapted
+  /// digraph structure.
+  ///
   /// \tparam DGR The type of the adapted digraph.
   /// It must conform to the \ref concepts::Digraph "Digraph" concept.
   /// It can also be specified to be \c const.
@@ -719,6 +722,8 @@
   /// by adding or removing nodes or arcs, unless the \c GR template
   /// parameter is set to be \c const.
   ///
+  /// This class provides only linear time counting for nodes and arcs.
+  ///
   /// \tparam DGR The type of the adapted digraph.
   /// It must conform to the \ref concepts::Digraph "Digraph" concept.
   /// It can also be specified to be \c const.
@@ -1314,6 +1319,8 @@
   /// by adding or removing nodes or edges, unless the \c GR template
   /// parameter is set to be \c const.
   ///
+  /// This class provides only linear time counting for nodes, edges and arcs.
+  ///
   /// \tparam GR The type of the adapted graph.
   /// It must conform to the \ref concepts::Graph "Graph" concept.
   /// It can also be specified to be \c const.
@@ -1471,6 +1478,8 @@
   /// by adding or removing nodes or arcs/edges, unless the \c GR template
   /// parameter is set to be \c const.
   ///
+  /// This class provides only linear time item counting.
+  ///
   /// \tparam GR The type of the adapted digraph or graph.
   /// It must conform to the \ref concepts::Digraph "Digraph" concept
   /// or the \ref concepts::Graph "Graph" concept.
@@ -1619,6 +1628,8 @@
   /// by adding or removing nodes or arcs, unless the \c GR template
   /// parameter is set to be \c const.
   ///
+  /// This class provides only linear time counting for nodes and arcs.
+  ///
   /// \tparam DGR The type of the adapted digraph.
   /// It must conform to the \ref concepts::Digraph "Digraph" concept.
   /// It can also be specified to be \c const.
@@ -1729,6 +1740,8 @@
   /// by adding or removing nodes or edges, unless the \c GR template
   /// parameter is set to be \c const.
   ///
+  /// This class provides only linear time counting for nodes, edges and arcs.
+  ///
   /// \tparam GR The type of the adapted graph.
   /// It must conform to the \ref concepts::Graph "Graph" concept.
   /// It can also be specified to be \c const.
@@ -2232,6 +2245,9 @@
   /// by adding or removing nodes or edges, unless the \c GR template
   /// parameter is set to be \c const.
   ///
+  /// This class provides item counting in the same time as the adapted
+  /// digraph structure.
+  ///
   /// \tparam DGR The type of the adapted digraph.
   /// It must conform to the \ref concepts::Digraph "Digraph" concept.
   /// It can also be specified to be \c const.
@@ -2535,6 +2551,9 @@
   /// by adding or removing nodes or arcs, unless the \c GR template
   /// parameter is set to be \c const.
   ///
+  /// This class provides item counting in the same time as the adapted
+  /// graph structure.
+  ///
   /// \tparam GR The type of the adapted graph.
   /// It must conform to the \ref concepts::Graph "Graph" concept.
   /// It can also be specified to be \c const.
@@ -2678,6 +2697,8 @@
   /// arcs).
   /// This class conforms to the \ref concepts::Digraph "Digraph" concept.
   ///
+  /// This class provides only linear time counting for nodes and arcs.
+  ///
   /// \tparam DGR The type of the adapted digraph.
   /// It must conform to the \ref concepts::Digraph "Digraph" concept.
   /// It is implicitly \c const.
@@ -3325,6 +3346,9 @@
   /// costs/capacities of the original digraph to the \e bind \e arcs
   /// in the adaptor.
   ///
+  /// This class provides item counting in the same time as the adapted
+  /// digraph structure.
+  ///
   /// \tparam DGR The type of the adapted digraph.
   /// It must conform to the \ref concepts::Digraph "Digraph" concept.
   /// It is implicitly \c const.
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/bellman_ford.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/bellman_ford.h	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,1101 @@
+/* -*- C++ -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library
+ *
+ * Copyright (C) 2003-2008
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_BELLMAN_FORD_H
+#define LEMON_BELLMAN_FORD_H
+
+/// \ingroup shortest_path
+/// \file
+/// \brief Bellman-Ford algorithm.
+
+#include <lemon/list_graph.h>
+#include <lemon/bits/path_dump.h>
+#include <lemon/core.h>
+#include <lemon/error.h>
+#include <lemon/maps.h>
+#include <lemon/path.h>
+
+#include <limits>
+
+namespace lemon {
+
+  /// \brief Default OperationTraits for the BellmanFord algorithm class.
+  ///  
+  /// This operation traits class defines all computational operations
+  /// and constants that are used in the Bellman-Ford algorithm.
+  /// The default implementation is based on the \c numeric_limits class.
+  /// If the numeric type does not have infinity value, then the maximum
+  /// value is used as extremal infinity value.
+  template <
+    typename V, 
+    bool has_inf = std::numeric_limits<V>::has_infinity>
+  struct BellmanFordDefaultOperationTraits {
+    /// \e
+    typedef V Value;
+    /// \brief Gives back the zero value of the type.
+    static Value zero() {
+      return static_cast<Value>(0);
+    }
+    /// \brief Gives back the positive infinity value of the type.
+    static Value infinity() {
+      return std::numeric_limits<Value>::infinity();
+    }
+    /// \brief Gives back the sum of the given two elements.
+    static Value plus(const Value& left, const Value& right) {
+      return left + right;
+    }
+    /// \brief Gives back \c true only if the first value is less than
+    /// the second.
+    static bool less(const Value& left, const Value& right) {
+      return left < right;
+    }
+  };
+
+  template <typename V>
+  struct BellmanFordDefaultOperationTraits<V, false> {
+    typedef V Value;
+    static Value zero() {
+      return static_cast<Value>(0);
+    }
+    static Value infinity() {
+      return std::numeric_limits<Value>::max();
+    }
+    static Value plus(const Value& left, const Value& right) {
+      if (left == infinity() || right == infinity()) return infinity();
+      return left + right;
+    }
+    static bool less(const Value& left, const Value& right) {
+      return left < right;
+    }
+  };
+  
+  /// \brief Default traits class of BellmanFord class.
+  ///
+  /// Default traits class of BellmanFord class.
+  /// \param GR The type of the digraph.
+  /// \param LEN The type of the length map.
+  template<typename GR, typename LEN>
+  struct BellmanFordDefaultTraits {
+    /// The type of the digraph the algorithm runs on. 
+    typedef GR Digraph;
+
+    /// \brief The type of the map that stores the arc lengths.
+    ///
+    /// The type of the map that stores the arc lengths.
+    /// It must conform to the \ref concepts::ReadMap "ReadMap" concept.
+    typedef LEN LengthMap;
+
+    /// The type of the arc lengths.
+    typedef typename LEN::Value Value;
+
+    /// \brief Operation traits for Bellman-Ford algorithm.
+    ///
+    /// It defines the used operations and the infinity value for the
+    /// given \c Value type.
+    /// \see BellmanFordDefaultOperationTraits
+    typedef BellmanFordDefaultOperationTraits<Value> OperationTraits;
+ 
+    /// \brief The type of the map that stores the last arcs of the 
+    /// shortest paths.
+    /// 
+    /// The type of the map that stores the last
+    /// arcs of the shortest paths.
+    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    typedef typename GR::template NodeMap<typename GR::Arc> PredMap;
+
+    /// \brief Instantiates a \c PredMap.
+    /// 
+    /// This function instantiates a \ref PredMap. 
+    /// \param g is the digraph to which we would like to define the
+    /// \ref PredMap.
+    static PredMap *createPredMap(const GR& g) {
+      return new PredMap(g);
+    }
+
+    /// \brief The type of the map that stores the distances of the nodes.
+    ///
+    /// The type of the map that stores the distances of the nodes.
+    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    typedef typename GR::template NodeMap<typename LEN::Value> DistMap;
+
+    /// \brief Instantiates a \c DistMap.
+    ///
+    /// This function instantiates a \ref DistMap. 
+    /// \param g is the digraph to which we would like to define the 
+    /// \ref DistMap.
+    static DistMap *createDistMap(const GR& g) {
+      return new DistMap(g);
+    }
+
+  };
+  
+  /// \brief %BellmanFord algorithm class.
+  ///
+  /// \ingroup shortest_path
+  /// This class provides an efficient implementation of the Bellman-Ford 
+  /// algorithm. The maximum time complexity of the algorithm is
+  /// <tt>O(ne)</tt>.
+  ///
+  /// The Bellman-Ford algorithm solves the single-source shortest path
+  /// problem when the arcs can have negative lengths, but the digraph
+  /// should not contain directed cycles with negative total length.
+  /// If all arc costs are non-negative, consider to use the Dijkstra
+  /// algorithm instead, since it is more efficient.
+  ///
+  /// The arc lengths are passed to the algorithm using a
+  /// \ref concepts::ReadMap "ReadMap", so it is easy to change it to any 
+  /// kind of length. The type of the length values is determined by the
+  /// \ref concepts::ReadMap::Value "Value" type of the length map.
+  ///
+  /// There is also a \ref bellmanFord() "function-type interface" for the
+  /// Bellman-Ford algorithm, which is convenient in the simplier cases and
+  /// it can be used easier.
+  ///
+  /// \tparam GR The type of the digraph the algorithm runs on.
+  /// The default type is \ref ListDigraph.
+  /// \tparam LEN A \ref concepts::ReadMap "readable" arc map that specifies
+  /// the lengths of the arcs. The default map type is
+  /// \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
+#ifdef DOXYGEN
+  template <typename GR, typename LEN, typename TR>
+#else
+  template <typename GR=ListDigraph,
+            typename LEN=typename GR::template ArcMap<int>,
+            typename TR=BellmanFordDefaultTraits<GR,LEN> >
+#endif
+  class BellmanFord {
+  public:
+
+    ///The type of the underlying digraph.
+    typedef typename TR::Digraph Digraph;
+    
+    /// \brief The type of the arc lengths.
+    typedef typename TR::LengthMap::Value Value;
+    /// \brief The type of the map that stores the arc lengths.
+    typedef typename TR::LengthMap LengthMap;
+    /// \brief The type of the map that stores the last
+    /// arcs of the shortest paths.
+    typedef typename TR::PredMap PredMap;
+    /// \brief The type of the map that stores the distances of the nodes.
+    typedef typename TR::DistMap DistMap;
+    /// The type of the paths.
+    typedef PredMapPath<Digraph, PredMap> Path;
+    ///\brief The \ref BellmanFordDefaultOperationTraits
+    /// "operation traits class" of the algorithm.
+    typedef typename TR::OperationTraits OperationTraits;
+
+    ///The \ref BellmanFordDefaultTraits "traits class" of the algorithm.
+    typedef TR Traits;
+
+  private:
+
+    typedef typename Digraph::Node Node;
+    typedef typename Digraph::NodeIt NodeIt;
+    typedef typename Digraph::Arc Arc;
+    typedef typename Digraph::OutArcIt OutArcIt;
+
+    // Pointer to the underlying digraph.
+    const Digraph *_gr;
+    // Pointer to the length map
+    const LengthMap *_length;
+    // Pointer to the map of predecessors arcs.
+    PredMap *_pred;
+    // Indicates if _pred is locally allocated (true) or not.
+    bool _local_pred;
+    // Pointer to the map of distances.
+    DistMap *_dist;
+    // Indicates if _dist is locally allocated (true) or not.
+    bool _local_dist;
+
+    typedef typename Digraph::template NodeMap<bool> MaskMap;
+    MaskMap *_mask;
+
+    std::vector<Node> _process;
+
+    // Creates the maps if necessary.
+    void create_maps() {
+      if(!_pred) {
+	_local_pred = true;
+	_pred = Traits::createPredMap(*_gr);
+      }
+      if(!_dist) {
+	_local_dist = true;
+	_dist = Traits::createDistMap(*_gr);
+      }
+      _mask = new MaskMap(*_gr, false);
+    }
+    
+  public :
+ 
+    typedef BellmanFord Create;
+
+    /// \name Named Template Parameters
+
+    ///@{
+
+    template <class T>
+    struct SetPredMapTraits : public Traits {
+      typedef T PredMap;
+      static PredMap *createPredMap(const Digraph&) {
+        LEMON_ASSERT(false, "PredMap is not initialized");
+        return 0; // ignore warnings
+      }
+    };
+
+    /// \brief \ref named-templ-param "Named parameter" for setting
+    /// \c PredMap type.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting
+    /// \c PredMap type.
+    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    template <class T>
+    struct SetPredMap 
+      : public BellmanFord< Digraph, LengthMap, SetPredMapTraits<T> > {
+      typedef BellmanFord< Digraph, LengthMap, SetPredMapTraits<T> > Create;
+    };
+    
+    template <class T>
+    struct SetDistMapTraits : public Traits {
+      typedef T DistMap;
+      static DistMap *createDistMap(const Digraph&) {
+        LEMON_ASSERT(false, "DistMap is not initialized");
+        return 0; // ignore warnings
+      }
+    };
+
+    /// \brief \ref named-templ-param "Named parameter" for setting
+    /// \c DistMap type.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting
+    /// \c DistMap type.
+    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    template <class T>
+    struct SetDistMap 
+      : public BellmanFord< Digraph, LengthMap, SetDistMapTraits<T> > {
+      typedef BellmanFord< Digraph, LengthMap, SetDistMapTraits<T> > Create;
+    };
+
+    template <class T>
+    struct SetOperationTraitsTraits : public Traits {
+      typedef T OperationTraits;
+    };
+    
+    /// \brief \ref named-templ-param "Named parameter" for setting 
+    /// \c OperationTraits type.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting
+    /// \c OperationTraits type.
+    /// For more information, see \ref BellmanFordDefaultOperationTraits.
+    template <class T>
+    struct SetOperationTraits
+      : public BellmanFord< Digraph, LengthMap, SetOperationTraitsTraits<T> > {
+      typedef BellmanFord< Digraph, LengthMap, SetOperationTraitsTraits<T> >
+      Create;
+    };
+    
+    ///@}
+
+  protected:
+    
+    BellmanFord() {}
+
+  public:      
+    
+    /// \brief Constructor.
+    ///
+    /// Constructor.
+    /// \param g The digraph the algorithm runs on.
+    /// \param length The length map used by the algorithm.
+    BellmanFord(const Digraph& g, const LengthMap& length) :
+      _gr(&g), _length(&length),
+      _pred(0), _local_pred(false),
+      _dist(0), _local_dist(false), _mask(0) {}
+    
+    ///Destructor.
+    ~BellmanFord() {
+      if(_local_pred) delete _pred;
+      if(_local_dist) delete _dist;
+      if(_mask) delete _mask;
+    }
+
+    /// \brief Sets the length map.
+    ///
+    /// Sets the length map.
+    /// \return <tt>(*this)</tt>
+    BellmanFord &lengthMap(const LengthMap &map) {
+      _length = &map;
+      return *this;
+    }
+
+    /// \brief Sets the map that stores the predecessor arcs.
+    ///
+    /// Sets the map that stores the predecessor arcs.
+    /// If you don't use this function before calling \ref run()
+    /// or \ref init(), an instance will be allocated automatically.
+    /// The destructor deallocates this automatically allocated map,
+    /// of course.
+    /// \return <tt>(*this)</tt>
+    BellmanFord &predMap(PredMap &map) {
+      if(_local_pred) {
+	delete _pred;
+	_local_pred=false;
+      }
+      _pred = &map;
+      return *this;
+    }
+
+    /// \brief Sets the map that stores the distances of the nodes.
+    ///
+    /// Sets the map that stores the distances of the nodes calculated
+    /// by the algorithm.
+    /// If you don't use this function before calling \ref run()
+    /// or \ref init(), an instance will be allocated automatically.
+    /// The destructor deallocates this automatically allocated map,
+    /// of course.
+    /// \return <tt>(*this)</tt>
+    BellmanFord &distMap(DistMap &map) {
+      if(_local_dist) {
+	delete _dist;
+	_local_dist=false;
+      }
+      _dist = &map;
+      return *this;
+    }
+
+    /// \name Execution Control
+    /// The simplest way to execute the Bellman-Ford algorithm is to use
+    /// one of the member functions called \ref run().\n
+    /// If you need better control on the execution, you have to call
+    /// \ref init() first, then you can add several source nodes
+    /// with \ref addSource(). Finally the actual path computation can be
+    /// performed with \ref start(), \ref checkedStart() or
+    /// \ref limitedStart().
+
+    ///@{
+
+    /// \brief Initializes the internal data structures.
+    /// 
+    /// Initializes the internal data structures. The optional parameter
+    /// is the initial distance of each node.
+    void init(const Value value = OperationTraits::infinity()) {
+      create_maps();
+      for (NodeIt it(*_gr); it != INVALID; ++it) {
+	_pred->set(it, INVALID);
+	_dist->set(it, value);
+      }
+      _process.clear();
+      if (OperationTraits::less(value, OperationTraits::infinity())) {
+	for (NodeIt it(*_gr); it != INVALID; ++it) {
+	  _process.push_back(it);
+	  _mask->set(it, true);
+	}
+      }
+    }
+    
+    /// \brief Adds a new source node.
+    ///
+    /// This function adds a new source node. The optional second parameter
+    /// is the initial distance of the node.
+    void addSource(Node source, Value dst = OperationTraits::zero()) {
+      _dist->set(source, dst);
+      if (!(*_mask)[source]) {
+	_process.push_back(source);
+	_mask->set(source, true);
+      }
+    }
+
+    /// \brief Executes one round from the Bellman-Ford algorithm.
+    ///
+    /// If the algoritm calculated the distances in the previous round
+    /// exactly for the paths of at most \c k arcs, then this function
+    /// will calculate the distances exactly for the paths of at most
+    /// <tt>k+1</tt> arcs. Performing \c k iterations using this function
+    /// calculates the shortest path distances exactly for the paths
+    /// consisting of at most \c k arcs.
+    ///
+    /// \warning The paths with limited arc number cannot be retrieved
+    /// easily with \ref path() or \ref predArc() functions. If you also
+    /// need the shortest paths and not only the distances, you should
+    /// store the \ref predMap() "predecessor map" after each iteration
+    /// and build the path manually.
+    ///
+    /// \return \c true when the algorithm have not found more shorter
+    /// paths.
+    ///
+    /// \see ActiveIt
+    bool processNextRound() {
+      for (int i = 0; i < int(_process.size()); ++i) {
+	_mask->set(_process[i], false);
+      }
+      std::vector<Node> nextProcess;
+      std::vector<Value> values(_process.size());
+      for (int i = 0; i < int(_process.size()); ++i) {
+	values[i] = (*_dist)[_process[i]];
+      }
+      for (int i = 0; i < int(_process.size()); ++i) {
+	for (OutArcIt it(*_gr, _process[i]); it != INVALID; ++it) {
+	  Node target = _gr->target(it);
+	  Value relaxed = OperationTraits::plus(values[i], (*_length)[it]);
+	  if (OperationTraits::less(relaxed, (*_dist)[target])) {
+	    _pred->set(target, it);
+	    _dist->set(target, relaxed);
+	    if (!(*_mask)[target]) {
+	      _mask->set(target, true);
+	      nextProcess.push_back(target);
+	    }
+	  }	  
+	}
+      }
+      _process.swap(nextProcess);
+      return _process.empty();
+    }
+
+    /// \brief Executes one weak round from the Bellman-Ford algorithm.
+    ///
+    /// If the algorithm calculated the distances in the previous round
+    /// at least for the paths of at most \c k arcs, then this function
+    /// will calculate the distances at least for the paths of at most
+    /// <tt>k+1</tt> arcs.
+    /// This function does not make it possible to calculate the shortest
+    /// path distances exactly for paths consisting of at most \c k arcs,
+    /// this is why it is called weak round.
+    ///
+    /// \return \c true when the algorithm have not found more shorter
+    /// paths.
+    ///
+    /// \see ActiveIt
+    bool processNextWeakRound() {
+      for (int i = 0; i < int(_process.size()); ++i) {
+	_mask->set(_process[i], false);
+      }
+      std::vector<Node> nextProcess;
+      for (int i = 0; i < int(_process.size()); ++i) {
+	for (OutArcIt it(*_gr, _process[i]); it != INVALID; ++it) {
+	  Node target = _gr->target(it);
+	  Value relaxed = 
+	    OperationTraits::plus((*_dist)[_process[i]], (*_length)[it]);
+	  if (OperationTraits::less(relaxed, (*_dist)[target])) {
+	    _pred->set(target, it);
+	    _dist->set(target, relaxed);
+	    if (!(*_mask)[target]) {
+	      _mask->set(target, true);
+	      nextProcess.push_back(target);
+	    }
+	  }	  
+	}
+      }
+      _process.swap(nextProcess);
+      return _process.empty();
+    }
+
+    /// \brief Executes the algorithm.
+    ///
+    /// Executes the algorithm.
+    ///
+    /// This method runs the Bellman-Ford algorithm from the root node(s)
+    /// in order to compute the shortest path to each node.
+    ///
+    /// The algorithm computes
+    /// - the shortest path tree (forest),
+    /// - the distance of each node from the root(s).
+    ///
+    /// \pre init() must be called and at least one root node should be
+    /// added with addSource() before using this function.
+    void start() {
+      int num = countNodes(*_gr) - 1;
+      for (int i = 0; i < num; ++i) {
+	if (processNextWeakRound()) break;
+      }
+    }
+
+    /// \brief Executes the algorithm and checks the negative cycles.
+    ///
+    /// Executes the algorithm and checks the negative cycles.
+    ///
+    /// This method runs the Bellman-Ford algorithm from the root node(s)
+    /// in order to compute the shortest path to each node and also checks
+    /// if the digraph contains cycles with negative total length.
+    ///
+    /// The algorithm computes 
+    /// - the shortest path tree (forest),
+    /// - the distance of each node from the root(s).
+    /// 
+    /// \return \c false if there is a negative cycle in the digraph.
+    ///
+    /// \pre init() must be called and at least one root node should be
+    /// added with addSource() before using this function. 
+    bool checkedStart() {
+      int num = countNodes(*_gr);
+      for (int i = 0; i < num; ++i) {
+	if (processNextWeakRound()) return true;
+      }
+      return _process.empty();
+    }
+
+    /// \brief Executes the algorithm with arc number limit.
+    ///
+    /// Executes the algorithm with arc number limit.
+    ///
+    /// This method runs the Bellman-Ford algorithm from the root node(s)
+    /// in order to compute the shortest path distance for each node
+    /// using only the paths consisting of at most \c num arcs.
+    ///
+    /// The algorithm computes
+    /// - the limited distance of each node from the root(s),
+    /// - the predecessor arc for each node.
+    ///
+    /// \warning The paths with limited arc number cannot be retrieved
+    /// easily with \ref path() or \ref predArc() functions. If you also
+    /// need the shortest paths and not only the distances, you should
+    /// store the \ref predMap() "predecessor map" after each iteration
+    /// and build the path manually.
+    ///
+    /// \pre init() must be called and at least one root node should be
+    /// added with addSource() before using this function. 
+    void limitedStart(int num) {
+      for (int i = 0; i < num; ++i) {
+	if (processNextRound()) break;
+      }
+    }
+    
+    /// \brief Runs the algorithm from the given root node.
+    ///    
+    /// This method runs the Bellman-Ford algorithm from the given root
+    /// node \c s in order to compute the shortest path to each node.
+    ///
+    /// The algorithm computes
+    /// - the shortest path tree (forest),
+    /// - the distance of each node from the root(s).
+    ///
+    /// \note bf.run(s) is just a shortcut of the following code.
+    /// \code
+    ///   bf.init();
+    ///   bf.addSource(s);
+    ///   bf.start();
+    /// \endcode
+    void run(Node s) {
+      init();
+      addSource(s);
+      start();
+    }
+    
+    /// \brief Runs the algorithm from the given root node with arc
+    /// number limit.
+    ///    
+    /// This method runs the Bellman-Ford algorithm from the given root
+    /// node \c s in order to compute the shortest path distance for each
+    /// node using only the paths consisting of at most \c num arcs.
+    ///
+    /// The algorithm computes
+    /// - the limited distance of each node from the root(s),
+    /// - the predecessor arc for each node.
+    ///
+    /// \warning The paths with limited arc number cannot be retrieved
+    /// easily with \ref path() or \ref predArc() functions. If you also
+    /// need the shortest paths and not only the distances, you should
+    /// store the \ref predMap() "predecessor map" after each iteration
+    /// and build the path manually.
+    ///
+    /// \note bf.run(s, num) is just a shortcut of the following code.
+    /// \code
+    ///   bf.init();
+    ///   bf.addSource(s);
+    ///   bf.limitedStart(num);
+    /// \endcode
+    void run(Node s, int num) {
+      init();
+      addSource(s);
+      limitedStart(num);
+    }
+    
+    ///@}
+
+    /// \brief LEMON iterator for getting the active nodes.
+    ///
+    /// This class provides a common style LEMON iterator that traverses
+    /// the active nodes of the Bellman-Ford algorithm after the last
+    /// phase. These nodes should be checked in the next phase to
+    /// find augmenting arcs outgoing from them.
+    class ActiveIt {
+    public:
+
+      /// \brief Constructor.
+      ///
+      /// Constructor for getting the active nodes of the given BellmanFord
+      /// instance. 
+      ActiveIt(const BellmanFord& algorithm) : _algorithm(&algorithm)
+      {
+        _index = _algorithm->_process.size() - 1;
+      }
+
+      /// \brief Invalid constructor.
+      ///
+      /// Invalid constructor.
+      ActiveIt(Invalid) : _algorithm(0), _index(-1) {}
+
+      /// \brief Conversion to \c Node.
+      ///
+      /// Conversion to \c Node.
+      operator Node() const { 
+        return _index >= 0 ? _algorithm->_process[_index] : INVALID;
+      }
+
+      /// \brief Increment operator.
+      ///
+      /// Increment operator.
+      ActiveIt& operator++() {
+        --_index;
+        return *this; 
+      }
+
+      bool operator==(const ActiveIt& it) const { 
+        return static_cast<Node>(*this) == static_cast<Node>(it); 
+      }
+      bool operator!=(const ActiveIt& it) const { 
+        return static_cast<Node>(*this) != static_cast<Node>(it); 
+      }
+      bool operator<(const ActiveIt& it) const { 
+        return static_cast<Node>(*this) < static_cast<Node>(it); 
+      }
+      
+    private:
+      const BellmanFord* _algorithm;
+      int _index;
+    };
+    
+    /// \name Query Functions
+    /// The result of the Bellman-Ford algorithm can be obtained using these
+    /// functions.\n
+    /// Either \ref run() or \ref init() should be called before using them.
+    
+    ///@{
+
+    /// \brief The shortest path to the given node.
+    ///    
+    /// Gives back the shortest path to the given node from the root(s).
+    ///
+    /// \warning \c t should be reached from the root(s).
+    ///
+    /// \pre Either \ref run() or \ref init() must be called before
+    /// using this function.
+    Path path(Node t) const
+    {
+      return Path(*_gr, *_pred, t);
+    }
+	  
+    /// \brief The distance of the given node from the root(s).
+    ///
+    /// Returns the distance of the given node from the root(s).
+    ///
+    /// \warning If node \c v is not reached from the root(s), then
+    /// the return value of this function is undefined.
+    ///
+    /// \pre Either \ref run() or \ref init() must be called before
+    /// using this function.
+    Value dist(Node v) const { return (*_dist)[v]; }
+
+    /// \brief Returns the 'previous arc' of the shortest path tree for
+    /// the given node.
+    ///
+    /// This function returns the 'previous arc' of the shortest path
+    /// tree for node \c v, i.e. it returns the last arc of a
+    /// shortest path from a root to \c v. It is \c INVALID if \c v
+    /// is not reached from the root(s) or if \c v is a root.
+    ///
+    /// The shortest path tree used here is equal to the shortest path
+    /// tree used in \ref predNode() and \ref predMap().
+    ///
+    /// \pre Either \ref run() or \ref init() must be called before
+    /// using this function.
+    Arc predArc(Node v) const { return (*_pred)[v]; }
+
+    /// \brief Returns the 'previous node' of the shortest path tree for
+    /// the given node.
+    ///
+    /// This function returns the 'previous node' of the shortest path
+    /// tree for node \c v, i.e. it returns the last but one node of
+    /// a shortest path from a root to \c v. It is \c INVALID if \c v
+    /// is not reached from the root(s) or if \c v is a root.
+    ///
+    /// The shortest path tree used here is equal to the shortest path
+    /// tree used in \ref predArc() and \ref predMap().
+    ///
+    /// \pre Either \ref run() or \ref init() must be called before
+    /// using this function.
+    Node predNode(Node v) const { 
+      return (*_pred)[v] == INVALID ? INVALID : _gr->source((*_pred)[v]); 
+    }
+    
+    /// \brief Returns a const reference to the node map that stores the
+    /// distances of the nodes.
+    ///
+    /// Returns a const reference to the node map that stores the distances
+    /// of the nodes calculated by the algorithm.
+    ///
+    /// \pre Either \ref run() or \ref init() must be called before
+    /// using this function.
+    const DistMap &distMap() const { return *_dist;}
+ 
+    /// \brief Returns a const reference to the node map that stores the
+    /// predecessor arcs.
+    ///
+    /// Returns a const reference to the node map that stores the predecessor
+    /// arcs, which form the shortest path tree (forest).
+    ///
+    /// \pre Either \ref run() or \ref init() must be called before
+    /// using this function.
+    const PredMap &predMap() const { return *_pred; }
+ 
+    /// \brief Checks if a node is reached from the root(s).
+    ///
+    /// Returns \c true if \c v is reached from the root(s).
+    ///
+    /// \pre Either \ref run() or \ref init() must be called before
+    /// using this function.
+    bool reached(Node v) const {
+      return (*_dist)[v] != OperationTraits::infinity();
+    }
+
+    /// \brief Gives back a negative cycle.
+    ///    
+    /// This function gives back a directed cycle with negative total
+    /// length if the algorithm has already found one.
+    /// Otherwise it gives back an empty path.
+    lemon::Path<Digraph> negativeCycle() const {
+      typename Digraph::template NodeMap<int> state(*_gr, -1);
+      lemon::Path<Digraph> cycle;
+      for (int i = 0; i < int(_process.size()); ++i) {
+        if (state[_process[i]] != -1) continue;
+        for (Node v = _process[i]; (*_pred)[v] != INVALID;
+             v = _gr->source((*_pred)[v])) {
+          if (state[v] == i) {
+            cycle.addFront((*_pred)[v]);
+            for (Node u = _gr->source((*_pred)[v]); u != v;
+                 u = _gr->source((*_pred)[u])) {
+              cycle.addFront((*_pred)[u]);
+            }
+            return cycle;
+          }
+          else if (state[v] >= 0) {
+            break;
+          }
+          state[v] = i;
+        }
+      }
+      return cycle;
+    }
+    
+    ///@}
+  };
+ 
+  /// \brief Default traits class of bellmanFord() function.
+  ///
+  /// Default traits class of bellmanFord() function.
+  /// \tparam GR The type of the digraph.
+  /// \tparam LEN The type of the length map.
+  template <typename GR, typename LEN>
+  struct BellmanFordWizardDefaultTraits {
+    /// The type of the digraph the algorithm runs on. 
+    typedef GR Digraph;
+
+    /// \brief The type of the map that stores the arc lengths.
+    ///
+    /// The type of the map that stores the arc lengths.
+    /// It must meet the \ref concepts::ReadMap "ReadMap" concept.
+    typedef LEN LengthMap;
+
+    /// The type of the arc lengths.
+    typedef typename LEN::Value Value;
+
+    /// \brief Operation traits for Bellman-Ford algorithm.
+    ///
+    /// It defines the used operations and the infinity value for the
+    /// given \c Value type.
+    /// \see BellmanFordDefaultOperationTraits
+    typedef BellmanFordDefaultOperationTraits<Value> OperationTraits;
+
+    /// \brief The type of the map that stores the last
+    /// arcs of the shortest paths.
+    /// 
+    /// The type of the map that stores the last arcs of the shortest paths.
+    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    typedef typename GR::template NodeMap<typename GR::Arc> PredMap;
+
+    /// \brief Instantiates a \c PredMap.
+    /// 
+    /// This function instantiates a \ref PredMap.
+    /// \param g is the digraph to which we would like to define the
+    /// \ref PredMap.
+    static PredMap *createPredMap(const GR &g) {
+      return new PredMap(g);
+    }
+
+    /// \brief The type of the map that stores the distances of the nodes.
+    ///
+    /// The type of the map that stores the distances of the nodes.
+    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    typedef typename GR::template NodeMap<Value> DistMap;
+
+    /// \brief Instantiates a \c DistMap.
+    ///
+    /// This function instantiates a \ref DistMap. 
+    /// \param g is the digraph to which we would like to define the
+    /// \ref DistMap.
+    static DistMap *createDistMap(const GR &g) {
+      return new DistMap(g);
+    }
+
+    ///The type of the shortest paths.
+
+    ///The type of the shortest paths.
+    ///It must meet the \ref concepts::Path "Path" concept.
+    typedef lemon::Path<Digraph> Path;
+  };
+  
+  /// \brief Default traits class used by BellmanFordWizard.
+  ///
+  /// Default traits class used by BellmanFordWizard.
+  /// \tparam GR The type of the digraph.
+  /// \tparam LEN The type of the length map.
+  template <typename GR, typename LEN>
+  class BellmanFordWizardBase 
+    : public BellmanFordWizardDefaultTraits<GR, LEN> {
+
+    typedef BellmanFordWizardDefaultTraits<GR, LEN> Base;
+  protected:
+    // Type of the nodes in the digraph.
+    typedef typename Base::Digraph::Node Node;
+
+    // Pointer to the underlying digraph.
+    void *_graph;
+    // Pointer to the length map
+    void *_length;
+    // Pointer to the map of predecessors arcs.
+    void *_pred;
+    // Pointer to the map of distances.
+    void *_dist;
+    //Pointer to the shortest path to the target node.
+    void *_path;
+    //Pointer to the distance of the target node.
+    void *_di;
+
+    public:
+    /// Constructor.
+    
+    /// This constructor does not require parameters, it initiates
+    /// all of the attributes to default values \c 0.
+    BellmanFordWizardBase() :
+      _graph(0), _length(0), _pred(0), _dist(0), _path(0), _di(0) {}
+
+    /// Constructor.
+    
+    /// This constructor requires two parameters,
+    /// others are initiated to \c 0.
+    /// \param gr The digraph the algorithm runs on.
+    /// \param len The length map.
+    BellmanFordWizardBase(const GR& gr, 
+			  const LEN& len) :
+      _graph(reinterpret_cast<void*>(const_cast<GR*>(&gr))), 
+      _length(reinterpret_cast<void*>(const_cast<LEN*>(&len))), 
+      _pred(0), _dist(0), _path(0), _di(0) {}
+
+  };
+  
+  /// \brief Auxiliary class for the function-type interface of the
+  /// \ref BellmanFord "Bellman-Ford" algorithm.
+  ///
+  /// This auxiliary class is created to implement the
+  /// \ref bellmanFord() "function-type interface" of the
+  /// \ref BellmanFord "Bellman-Ford" algorithm.
+  /// It does not have own \ref run() method, it uses the
+  /// functions and features of the plain \ref BellmanFord.
+  ///
+  /// This class should only be used through the \ref bellmanFord()
+  /// function, which makes it easier to use the algorithm.
+  template<class TR>
+  class BellmanFordWizard : public TR {
+    typedef TR Base;
+
+    typedef typename TR::Digraph Digraph;
+
+    typedef typename Digraph::Node Node;
+    typedef typename Digraph::NodeIt NodeIt;
+    typedef typename Digraph::Arc Arc;
+    typedef typename Digraph::OutArcIt ArcIt;
+    
+    typedef typename TR::LengthMap LengthMap;
+    typedef typename LengthMap::Value Value;
+    typedef typename TR::PredMap PredMap;
+    typedef typename TR::DistMap DistMap;
+    typedef typename TR::Path Path;
+
+  public:
+    /// Constructor.
+    BellmanFordWizard() : TR() {}
+
+    /// \brief Constructor that requires parameters.
+    ///
+    /// Constructor that requires parameters.
+    /// These parameters will be the default values for the traits class.
+    /// \param gr The digraph the algorithm runs on.
+    /// \param len The length map.
+    BellmanFordWizard(const Digraph& gr, const LengthMap& len) 
+      : TR(gr, len) {}
+
+    /// \brief Copy constructor
+    BellmanFordWizard(const TR &b) : TR(b) {}
+
+    ~BellmanFordWizard() {}
+
+    /// \brief Runs the Bellman-Ford algorithm from the given source node.
+    ///    
+    /// This method runs the Bellman-Ford algorithm from the given source
+    /// node in order to compute the shortest path to each node.
+    void run(Node s) {
+      BellmanFord<Digraph,LengthMap,TR> 
+	bf(*reinterpret_cast<const Digraph*>(Base::_graph), 
+           *reinterpret_cast<const LengthMap*>(Base::_length));
+      if (Base::_pred) bf.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
+      if (Base::_dist) bf.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
+      bf.run(s);
+    }
+
+    /// \brief Runs the Bellman-Ford algorithm to find the shortest path
+    /// between \c s and \c t.
+    ///
+    /// This method runs the Bellman-Ford algorithm from node \c s
+    /// in order to compute the shortest path to node \c t.
+    /// Actually, it computes the shortest path to each node, but using
+    /// this function you can retrieve the distance and the shortest path
+    /// for a single target node easier.
+    ///
+    /// \return \c true if \c t is reachable form \c s.
+    bool run(Node s, Node t) {
+      BellmanFord<Digraph,LengthMap,TR>
+        bf(*reinterpret_cast<const Digraph*>(Base::_graph),
+           *reinterpret_cast<const LengthMap*>(Base::_length));
+      if (Base::_pred) bf.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
+      if (Base::_dist) bf.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
+      bf.run(s);
+      if (Base::_path) *reinterpret_cast<Path*>(Base::_path) = bf.path(t);
+      if (Base::_di) *reinterpret_cast<Value*>(Base::_di) = bf.dist(t);
+      return bf.reached(t);
+    }
+
+    template<class T>
+    struct SetPredMapBase : public Base {
+      typedef T PredMap;
+      static PredMap *createPredMap(const Digraph &) { return 0; };
+      SetPredMapBase(const TR &b) : TR(b) {}
+    };
+    
+    /// \brief \ref named-templ-param "Named parameter" for setting
+    /// the predecessor map.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting
+    /// the map that stores the predecessor arcs of the nodes.
+    template<class T>
+    BellmanFordWizard<SetPredMapBase<T> > predMap(const T &t) {
+      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
+      return BellmanFordWizard<SetPredMapBase<T> >(*this);
+    }
+    
+    template<class T>
+    struct SetDistMapBase : public Base {
+      typedef T DistMap;
+      static DistMap *createDistMap(const Digraph &) { return 0; };
+      SetDistMapBase(const TR &b) : TR(b) {}
+    };
+    
+    /// \brief \ref named-templ-param "Named parameter" for setting
+    /// the distance map.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting
+    /// the map that stores the distances of the nodes calculated
+    /// by the algorithm.
+    template<class T>
+    BellmanFordWizard<SetDistMapBase<T> > distMap(const T &t) {
+      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
+      return BellmanFordWizard<SetDistMapBase<T> >(*this);
+    }
+
+    template<class T>
+    struct SetPathBase : public Base {
+      typedef T Path;
+      SetPathBase(const TR &b) : TR(b) {}
+    };
+
+    /// \brief \ref named-func-param "Named parameter" for getting
+    /// the shortest path to the target node.
+    ///
+    /// \ref named-func-param "Named parameter" for getting
+    /// the shortest path to the target node.
+    template<class T>
+    BellmanFordWizard<SetPathBase<T> > path(const T &t)
+    {
+      Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t));
+      return BellmanFordWizard<SetPathBase<T> >(*this);
+    }
+
+    /// \brief \ref named-func-param "Named parameter" for getting
+    /// the distance of the target node.
+    ///
+    /// \ref named-func-param "Named parameter" for getting
+    /// the distance of the target node.
+    BellmanFordWizard dist(const Value &d)
+    {
+      Base::_di=reinterpret_cast<void*>(const_cast<Value*>(&d));
+      return *this;
+    }
+    
+  };
+  
+  /// \brief Function type interface for the \ref BellmanFord "Bellman-Ford"
+  /// algorithm.
+  ///
+  /// \ingroup shortest_path
+  /// Function type interface for the \ref BellmanFord "Bellman-Ford"
+  /// algorithm.
+  ///
+  /// This function also has several \ref named-templ-func-param 
+  /// "named parameters", they are declared as the members of class 
+  /// \ref BellmanFordWizard.
+  /// The following examples show how to use these parameters.
+  /// \code
+  ///   // Compute shortest path from node s to each node
+  ///   bellmanFord(g,length).predMap(preds).distMap(dists).run(s);
+  ///
+  ///   // Compute shortest path from s to t
+  ///   bool reached = bellmanFord(g,length).path(p).dist(d).run(s,t);
+  /// \endcode
+  /// \warning Don't forget to put the \ref BellmanFordWizard::run() "run()"
+  /// to the end of the parameter list.
+  /// \sa BellmanFordWizard
+  /// \sa BellmanFord
+  template<typename GR, typename LEN>
+  BellmanFordWizard<BellmanFordWizardBase<GR,LEN> >
+  bellmanFord(const GR& digraph,
+	      const LEN& length)
+  {
+    return BellmanFordWizard<BellmanFordWizardBase<GR,LEN> >(digraph, length);
+  }
+
+} //END OF NAMESPACE LEMON
+
+#endif
+
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/bfs.h
--- a/lemon/bfs.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/bfs.h	Thu Dec 10 17:18:25 2009 +0100
@@ -47,7 +47,7 @@
     ///
     ///The type of the map that stores the predecessor
     ///arcs of the shortest paths.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
     ///Instantiates a \c PredMap.
 
@@ -62,7 +62,8 @@
     ///The type of the map that indicates which nodes are processed.
 
     ///The type of the map that indicates which nodes are processed.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    ///By default, it is a NullMap.
     typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
     ///Instantiates a \c ProcessedMap.
 
@@ -81,7 +82,7 @@
     ///The type of the map that indicates which nodes are reached.
 
     ///The type of the map that indicates which nodes are reached.
-    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
+    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
     typedef typename Digraph::template NodeMap<bool> ReachedMap;
     ///Instantiates a \c ReachedMap.
 
@@ -96,7 +97,7 @@
     ///The type of the map that stores the distances of the nodes.
 
     ///The type of the map that stores the distances of the nodes.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<int> DistMap;
     ///Instantiates a \c DistMap.
 
@@ -225,7 +226,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c PredMap type.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     template <class T>
     struct SetPredMap : public Bfs< Digraph, SetPredMapTraits<T> > {
       typedef Bfs< Digraph, SetPredMapTraits<T> > Create;
@@ -245,7 +246,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c DistMap type.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     template <class T>
     struct SetDistMap : public Bfs< Digraph, SetDistMapTraits<T> > {
       typedef Bfs< Digraph, SetDistMapTraits<T> > Create;
@@ -265,7 +266,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c ReachedMap type.
-    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
+    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
     template <class T>
     struct SetReachedMap : public Bfs< Digraph, SetReachedMapTraits<T> > {
       typedef Bfs< Digraph, SetReachedMapTraits<T> > Create;
@@ -285,7 +286,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c ProcessedMap type.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     template <class T>
     struct SetProcessedMap : public Bfs< Digraph, SetProcessedMapTraits<T> > {
       typedef Bfs< Digraph, SetProcessedMapTraits<T> > Create;
@@ -413,8 +414,8 @@
     ///\name Execution Control
     ///The simplest way to execute the BFS algorithm is to use one of the
     ///member functions called \ref run(Node) "run()".\n
-    ///If you need more control on the execution, first you have to call
-    ///\ref init(), then you can add several source nodes with
+    ///If you need better control on the execution, you have to call
+    ///\ref init() first, then you can add several source nodes with
     ///\ref addSource(). Finally the actual path computation can be
     ///performed with one of the \ref start() functions.
 
@@ -700,12 +701,8 @@
 
     ///Runs the algorithm to visit all nodes in the digraph.
 
-    ///This method runs the %BFS algorithm in order to
-    ///compute the shortest path to each node.
-    ///
-    ///The algorithm computes
-    ///- the shortest path tree (forest),
-    ///- the distance of each node from the root(s).
+    ///This method runs the %BFS algorithm in order to visit all nodes
+    ///in the digraph.
     ///
     ///\note <tt>b.run(s)</tt> is just a shortcut of the following code.
     ///\code
@@ -737,9 +734,9 @@
 
     ///@{
 
-    ///The shortest path to a node.
+    ///The shortest path to the given node.
 
-    ///Returns the shortest path to a node.
+    ///Returns the shortest path to the given node from the root(s).
     ///
     ///\warning \c t should be reached from the root(s).
     ///
@@ -747,9 +744,9 @@
     ///must be called before using this function.
     Path path(Node t) const { return Path(*G, *_pred, t); }
 
-    ///The distance of a node from the root(s).
+    ///The distance of the given node from the root(s).
 
-    ///Returns the distance of a node from the root(s).
+    ///Returns the distance of the given node from the root(s).
     ///
     ///\warning If node \c v is not reached from the root(s), then
     ///the return value of this function is undefined.
@@ -758,29 +755,31 @@
     ///must be called before using this function.
     int dist(Node v) const { return (*_dist)[v]; }
 
-    ///Returns the 'previous arc' of the shortest path tree for a node.
-
+    ///\brief Returns the 'previous arc' of the shortest path tree for
+    ///the given node.
+    ///
     ///This function returns the 'previous arc' of the shortest path
     ///tree for the node \c v, i.e. it returns the last arc of a
     ///shortest path from a root to \c v. It is \c INVALID if \c v
     ///is not reached from the root(s) or if \c v is a root.
     ///
     ///The shortest path tree used here is equal to the shortest path
-    ///tree used in \ref predNode().
+    ///tree used in \ref predNode() and \ref predMap().
     ///
     ///\pre Either \ref run(Node) "run()" or \ref init()
     ///must be called before using this function.
     Arc predArc(Node v) const { return (*_pred)[v];}
 
-    ///Returns the 'previous node' of the shortest path tree for a node.
-
+    ///\brief Returns the 'previous node' of the shortest path tree for
+    ///the given node.
+    ///
     ///This function returns the 'previous node' of the shortest path
     ///tree for the node \c v, i.e. it returns the last but one node
-    ///from a shortest path from a root to \c v. It is \c INVALID
+    ///of a shortest path from a root to \c v. It is \c INVALID
     ///if \c v is not reached from the root(s) or if \c v is a root.
     ///
     ///The shortest path tree used here is equal to the shortest path
-    ///tree used in \ref predArc().
+    ///tree used in \ref predArc() and \ref predMap().
     ///
     ///\pre Either \ref run(Node) "run()" or \ref init()
     ///must be called before using this function.
@@ -801,13 +800,13 @@
     ///predecessor arcs.
     ///
     ///Returns a const reference to the node map that stores the predecessor
-    ///arcs, which form the shortest path tree.
+    ///arcs, which form the shortest path tree (forest).
     ///
     ///\pre Either \ref run(Node) "run()" or \ref init()
     ///must be called before using this function.
     const PredMap &predMap() const { return *_pred;}
 
-    ///Checks if a node is reached from the root(s).
+    ///Checks if the given node is reached from the root(s).
 
     ///Returns \c true if \c v is reached from the root(s).
     ///
@@ -833,7 +832,7 @@
     ///
     ///The type of the map that stores the predecessor
     ///arcs of the shortest paths.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
     ///Instantiates a PredMap.
 
@@ -848,8 +847,8 @@
     ///The type of the map that indicates which nodes are processed.
 
     ///The type of the map that indicates which nodes are processed.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
-    ///By default it is a NullMap.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    ///By default, it is a NullMap.
     typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
     ///Instantiates a ProcessedMap.
 
@@ -868,7 +867,7 @@
     ///The type of the map that indicates which nodes are reached.
 
     ///The type of the map that indicates which nodes are reached.
-    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
+    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
     typedef typename Digraph::template NodeMap<bool> ReachedMap;
     ///Instantiates a ReachedMap.
 
@@ -883,7 +882,7 @@
     ///The type of the map that stores the distances of the nodes.
 
     ///The type of the map that stores the distances of the nodes.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<int> DistMap;
     ///Instantiates a DistMap.
 
@@ -898,18 +897,14 @@
     ///The type of the shortest paths.
 
     ///The type of the shortest paths.
-    ///It must meet the \ref concepts::Path "Path" concept.
+    ///It must conform to the \ref concepts::Path "Path" concept.
     typedef lemon::Path<Digraph> Path;
   };
 
   /// Default traits class used by BfsWizard
 
-  /// To make it easier to use Bfs algorithm
-  /// we have created a wizard class.
-  /// This \ref BfsWizard class needs default traits,
-  /// as well as the \ref Bfs class.
-  /// The \ref BfsWizardBase is a class to be the default traits of the
-  /// \ref BfsWizard class.
+  /// Default traits class used by BfsWizard.
+  /// \tparam GR The type of the digraph.
   template<class GR>
   class BfsWizardBase : public BfsWizardDefaultTraits<GR>
   {
@@ -937,7 +932,7 @@
     public:
     /// Constructor.
 
-    /// This constructor does not require parameters, therefore it initiates
+    /// This constructor does not require parameters, it initiates
     /// all of the attributes to \c 0.
     BfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
                       _dist(0), _path(0), _di(0) {}
@@ -967,7 +962,6 @@
   {
     typedef TR Base;
 
-    ///The type of the digraph the algorithm runs on.
     typedef typename TR::Digraph Digraph;
 
     typedef typename Digraph::Node Node;
@@ -975,16 +969,10 @@
     typedef typename Digraph::Arc Arc;
     typedef typename Digraph::OutArcIt OutArcIt;
 
-    ///\brief The type of the map that stores the predecessor
-    ///arcs of the shortest paths.
     typedef typename TR::PredMap PredMap;
-    ///\brief The type of the map that stores the distances of the nodes.
     typedef typename TR::DistMap DistMap;
-    ///\brief The type of the map that indicates which nodes are reached.
     typedef typename TR::ReachedMap ReachedMap;
-    ///\brief The type of the map that indicates which nodes are processed.
     typedef typename TR::ProcessedMap ProcessedMap;
-    ///The type of the shortest paths
     typedef typename TR::Path Path;
 
   public:
@@ -1054,8 +1042,8 @@
 
     ///Runs BFS algorithm to visit all nodes in the digraph.
 
-    ///This method runs BFS algorithm in order to compute
-    ///the shortest path to each node.
+    ///This method runs BFS algorithm in order to visit all nodes
+    ///in the digraph.
     void run()
     {
       run(INVALID);
@@ -1067,11 +1055,12 @@
       static PredMap *createPredMap(const Digraph &) { return 0; };
       SetPredMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting PredMap object.
+
+    ///\brief \ref named-templ-param "Named parameter" for setting
+    ///the predecessor map.
     ///
-    ///\ref named-func-param "Named parameter"
-    ///for setting PredMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that stores the predecessor arcs of the nodes.
     template<class T>
     BfsWizard<SetPredMapBase<T> > predMap(const T &t)
     {
@@ -1085,11 +1074,12 @@
       static ReachedMap *createReachedMap(const Digraph &) { return 0; };
       SetReachedMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting ReachedMap object.
+
+    ///\brief \ref named-templ-param "Named parameter" for setting
+    ///the reached map.
     ///
-    /// \ref named-func-param "Named parameter"
-    ///for setting ReachedMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that indicates which nodes are reached.
     template<class T>
     BfsWizard<SetReachedMapBase<T> > reachedMap(const T &t)
     {
@@ -1103,11 +1093,13 @@
       static DistMap *createDistMap(const Digraph &) { return 0; };
       SetDistMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting DistMap object.
+
+    ///\brief \ref named-templ-param "Named parameter" for setting
+    ///the distance map.
     ///
-    /// \ref named-func-param "Named parameter"
-    ///for setting DistMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that stores the distances of the nodes calculated
+    ///by the algorithm.
     template<class T>
     BfsWizard<SetDistMapBase<T> > distMap(const T &t)
     {
@@ -1121,11 +1113,12 @@
       static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
       SetProcessedMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting ProcessedMap object.
+
+    ///\brief \ref named-func-param "Named parameter" for setting
+    ///the processed map.
     ///
-    /// \ref named-func-param "Named parameter"
-    ///for setting ProcessedMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that indicates which nodes are processed.
     template<class T>
     BfsWizard<SetProcessedMapBase<T> > processedMap(const T &t)
     {
@@ -1264,7 +1257,7 @@
     /// \brief The type of the map that indicates which nodes are reached.
     ///
     /// The type of the map that indicates which nodes are reached.
-    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
+    /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
     typedef typename Digraph::template NodeMap<bool> ReachedMap;
 
     /// \brief Instantiates a ReachedMap.
@@ -1425,8 +1418,8 @@
     /// \name Execution Control
     /// The simplest way to execute the BFS algorithm is to use one of the
     /// member functions called \ref run(Node) "run()".\n
-    /// If you need more control on the execution, first you have to call
-    /// \ref init(), then you can add several source nodes with
+    /// If you need better control on the execution, you have to call
+    /// \ref init() first, then you can add several source nodes with
     /// \ref addSource(). Finally the actual path computation can be
     /// performed with one of the \ref start() functions.
 
@@ -1698,12 +1691,8 @@
 
     /// \brief Runs the algorithm to visit all nodes in the digraph.
     ///
-    /// This method runs the %BFS algorithm in order to
-    /// compute the shortest path to each node.
-    ///
-    /// The algorithm computes
-    /// - the shortest path tree (forest),
-    /// - the distance of each node from the root(s).
+    /// This method runs the %BFS algorithm in order to visit all nodes
+    /// in the digraph.
     ///
     /// \note <tt>b.run(s)</tt> is just a shortcut of the following code.
     ///\code
@@ -1735,7 +1724,7 @@
 
     ///@{
 
-    /// \brief Checks if a node is reached from the root(s).
+    /// \brief Checks if the given node is reached from the root(s).
     ///
     /// Returns \c true if \c v is reached from the root(s).
     ///
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/bin_heap.h
--- a/lemon/bin_heap.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/bin_heap.h	Thu Dec 10 17:18:25 2009 +0100
@@ -19,9 +19,9 @@
 #ifndef LEMON_BIN_HEAP_H
 #define LEMON_BIN_HEAP_H
 
-///\ingroup auxdat
+///\ingroup heaps
 ///\file
-///\brief Binary Heap implementation.
+///\brief Binary heap implementation.
 
 #include <vector>
 #include <utility>
@@ -29,45 +29,41 @@
 
 namespace lemon {
 
-  ///\ingroup auxdat
+  /// \ingroup heaps
   ///
-  ///\brief A Binary Heap implementation.
+  /// \brief Binary heap data structure.
   ///
-  ///This class implements the \e binary \e heap data structure.
+  /// This class implements the \e binary \e heap data structure.
+  /// It fully conforms to the \ref concepts::Heap "heap concept".
   ///
-  ///A \e heap is a data structure for storing items with specified values
-  ///called \e priorities in such a way that finding the item with minimum
-  ///priority is efficient. \c CMP specifies the ordering of the priorities.
-  ///In a heap one can change the priority of an item, add or erase an
-  ///item, etc.
-  ///
-  ///\tparam PR Type of the priority of the items.
-  ///\tparam IM A read and writable item map with int values, used internally
-  ///to handle the cross references.
-  ///\tparam CMP A functor class for the ordering of the priorities.
-  ///The default is \c std::less<PR>.
-  ///
-  ///\sa FibHeap
-  ///\sa Dijkstra
+  /// \tparam PR Type of the priorities of the items.
+  /// \tparam IM A read-writable item map with \c int values, used
+  /// internally to handle the cross references.
+  /// \tparam CMP A functor class for comparing the priorities.
+  /// The default is \c std::less<PR>.
+#ifdef DOXYGEN
+  template <typename PR, typename IM, typename CMP>
+#else
   template <typename PR, typename IM, typename CMP = std::less<PR> >
+#endif
   class BinHeap {
+  public:
 
-  public:
-    ///\e
+    /// Type of the item-int map.
     typedef IM ItemIntMap;
-    ///\e
+    /// Type of the priorities.
     typedef PR Prio;
-    ///\e
+    /// Type of the items stored in the heap.
     typedef typename ItemIntMap::Key Item;
-    ///\e
+    /// Type of the item-priority pairs.
     typedef std::pair<Item,Prio> Pair;
-    ///\e
+    /// Functor type for comparing the priorities.
     typedef CMP Compare;
 
-    /// \brief Type to represent the items states.
+    /// \brief Type to represent the states of the items.
     ///
-    /// Each Item element have a state associated to it. It may be "in heap",
-    /// "pre heap" or "post heap". The latter two are indifferent from the
+    /// Each item has a state associated to it. It can be "in heap",
+    /// "pre-heap" or "post-heap". The latter two are indifferent from the
     /// heap's point of view, but may be useful to the user.
     ///
     /// The item-int map must be initialized in such way that it assigns
@@ -84,42 +80,43 @@
     ItemIntMap &_iim;
 
   public:
-    /// \brief The constructor.
+
+    /// \brief Constructor.
     ///
-    /// The constructor.
-    /// \param map should be given to the constructor, since it is used
-    /// internally to handle the cross references. The value of the map
-    /// must be \c PRE_HEAP (<tt>-1</tt>) for every item.
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
     explicit BinHeap(ItemIntMap &map) : _iim(map) {}
 
-    /// \brief The constructor.
+    /// \brief Constructor.
     ///
-    /// The constructor.
-    /// \param map should be given to the constructor, since it is used
-    /// internally to handle the cross references. The value of the map
-    /// should be PRE_HEAP (-1) for each element.
-    ///
-    /// \param comp The comparator function object.
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    /// \param comp The function object used for comparing the priorities.
     BinHeap(ItemIntMap &map, const Compare &comp)
       : _iim(map), _comp(comp) {}
 
 
-    /// The number of items stored in the heap.
+    /// \brief The number of items stored in the heap.
     ///
-    /// \brief Returns the number of items stored in the heap.
+    /// This function returns the number of items stored in the heap.
     int size() const { return _data.size(); }
 
-    /// \brief Checks if the heap stores no items.
+    /// \brief Check if the heap is empty.
     ///
-    /// Returns \c true if and only if the heap stores no items.
+    /// This function returns \c true if the heap is empty.
     bool empty() const { return _data.empty(); }
 
-    /// \brief Make empty this heap.
+    /// \brief Make the heap empty.
     ///
-    /// Make empty this heap. It does not change the cross reference map.
-    /// If you want to reuse what is not surely empty you should first clear
-    /// the heap and after that you should set the cross reference map for
-    /// each item to \c PRE_HEAP.
+    /// This functon makes the heap empty.
+    /// It does not change the cross reference map. If you want to reuse
+    /// a heap that is not surely empty, you should first clear it and
+    /// then you should set the cross reference map to \c PRE_HEAP
+    /// for each item.
     void clear() {
       _data.clear();
     }
@@ -127,12 +124,12 @@
   private:
     static int parent(int i) { return (i-1)/2; }
 
-    static int second_child(int i) { return 2*i+2; }
+    static int secondChild(int i) { return 2*i+2; }
     bool less(const Pair &p1, const Pair &p2) const {
       return _comp(p1.second, p2.second);
     }
 
-    int bubble_up(int hole, Pair p) {
+    int bubbleUp(int hole, Pair p) {
       int par = parent(hole);
       while( hole>0 && less(p,_data[par]) ) {
         move(_data[par],hole);
@@ -143,8 +140,8 @@
       return hole;
     }
 
-    int bubble_down(int hole, Pair p, int length) {
-      int child = second_child(hole);
+    int bubbleDown(int hole, Pair p, int length) {
+      int child = secondChild(hole);
       while(child < length) {
         if( less(_data[child-1], _data[child]) ) {
           --child;
@@ -153,7 +150,7 @@
           goto ok;
         move(_data[child], hole);
         hole = child;
-        child = second_child(hole);
+        child = secondChild(hole);
       }
       child--;
       if( child<length && less(_data[child], p) ) {
@@ -171,87 +168,91 @@
     }
 
   public:
+
     /// \brief Insert a pair of item and priority into the heap.
     ///
-    /// Adds \c p.first to the heap with priority \c p.second.
+    /// This function inserts \c p.first to the heap with priority
+    /// \c p.second.
     /// \param p The pair to insert.
+    /// \pre \c p.first must not be stored in the heap.
     void push(const Pair &p) {
       int n = _data.size();
       _data.resize(n+1);
-      bubble_up(n, p);
+      bubbleUp(n, p);
     }
 
-    /// \brief Insert an item into the heap with the given heap.
+    /// \brief Insert an item into the heap with the given priority.
     ///
-    /// Adds \c i to the heap with priority \c p.
+    /// This function inserts the given item into the heap with the
+    /// given priority.
     /// \param i The item to insert.
     /// \param p The priority of the item.
+    /// \pre \e i must not be stored in the heap.
     void push(const Item &i, const Prio &p) { push(Pair(i,p)); }
 
-    /// \brief Returns the item with minimum priority relative to \c Compare.
+    /// \brief Return the item having minimum priority.
     ///
-    /// This method returns the item with minimum priority relative to \c
-    /// Compare.
-    /// \pre The heap must be nonempty.
+    /// This function returns the item having minimum priority.
+    /// \pre The heap must be non-empty.
     Item top() const {
       return _data[0].first;
     }
 
-    /// \brief Returns the minimum priority relative to \c Compare.
+    /// \brief The minimum priority.
     ///
-    /// It returns the minimum priority relative to \c Compare.
-    /// \pre The heap must be nonempty.
+    /// This function returns the minimum priority.
+    /// \pre The heap must be non-empty.
     Prio prio() const {
       return _data[0].second;
     }
 
-    /// \brief Deletes the item with minimum priority relative to \c Compare.
+    /// \brief Remove the item having minimum priority.
     ///
-    /// This method deletes the item with minimum priority relative to \c
-    /// Compare from the heap.
+    /// This function removes the item having minimum priority.
     /// \pre The heap must be non-empty.
     void pop() {
       int n = _data.size()-1;
       _iim.set(_data[0].first, POST_HEAP);
       if (n > 0) {
-        bubble_down(0, _data[n], n);
+        bubbleDown(0, _data[n], n);
       }
       _data.pop_back();
     }
 
-    /// \brief Deletes \c i from the heap.
+    /// \brief Remove the given item from the heap.
     ///
-    /// This method deletes item \c i from the heap.
-    /// \param i The item to erase.
-    /// \pre The item should be in the heap.
+    /// This function removes the given item from the heap if it is
+    /// already stored.
+    /// \param i The item to delete.
+    /// \pre \e i must be in the heap.
     void erase(const Item &i) {
       int h = _iim[i];
       int n = _data.size()-1;
       _iim.set(_data[h].first, POST_HEAP);
       if( h < n ) {
-        if ( bubble_up(h, _data[n]) == h) {
-          bubble_down(h, _data[n], n);
+        if ( bubbleUp(h, _data[n]) == h) {
+          bubbleDown(h, _data[n], n);
         }
       }
       _data.pop_back();
     }
 
-
-    /// \brief Returns the priority of \c i.
+    /// \brief The priority of the given item.
     ///
-    /// This function returns the priority of item \c i.
+    /// This function returns the priority of the given item.
     /// \param i The item.
-    /// \pre \c i must be in the heap.
+    /// \pre \e i must be in the heap.
     Prio operator[](const Item &i) const {
       int idx = _iim[i];
       return _data[idx].second;
     }
 
-    /// \brief \c i gets to the heap with priority \c p independently
-    /// if \c i was already there.
+    /// \brief Set the priority of an item or insert it, if it is
+    /// not stored in the heap.
     ///
-    /// This method calls \ref push(\c i, \c p) if \c i is not stored
-    /// in the heap and sets the priority of \c i to \c p otherwise.
+    /// This method sets the priority of the given item if it is
+    /// already stored in the heap. Otherwise it inserts the given
+    /// item into the heap with the given priority.
     /// \param i The item.
     /// \param p The priority.
     void set(const Item &i, const Prio &p) {
@@ -260,44 +261,42 @@
         push(i,p);
       }
       else if( _comp(p, _data[idx].second) ) {
-        bubble_up(idx, Pair(i,p));
+        bubbleUp(idx, Pair(i,p));
       }
       else {
-        bubble_down(idx, Pair(i,p), _data.size());
+        bubbleDown(idx, Pair(i,p), _data.size());
       }
     }
 
-    /// \brief Decreases the priority of \c i to \c p.
+    /// \brief Decrease the priority of an item to the given value.
     ///
-    /// This method decreases the priority of item \c i to \c p.
+    /// This function decreases the priority of an item to the given value.
     /// \param i The item.
     /// \param p The priority.
-    /// \pre \c i must be stored in the heap with priority at least \c
-    /// p relative to \c Compare.
+    /// \pre \e i must be stored in the heap with priority at least \e p.
     void decrease(const Item &i, const Prio &p) {
       int idx = _iim[i];
-      bubble_up(idx, Pair(i,p));
+      bubbleUp(idx, Pair(i,p));
     }
 
-    /// \brief Increases the priority of \c i to \c p.
+    /// \brief Increase the priority of an item to the given value.
     ///
-    /// This method sets the priority of item \c i to \c p.
+    /// This function increases the priority of an item to the given value.
     /// \param i The item.
     /// \param p The priority.
-    /// \pre \c i must be stored in the heap with priority at most \c
-    /// p relative to \c Compare.
+    /// \pre \e i must be stored in the heap with priority at most \e p.
     void increase(const Item &i, const Prio &p) {
       int idx = _iim[i];
-      bubble_down(idx, Pair(i,p), _data.size());
+      bubbleDown(idx, Pair(i,p), _data.size());
     }
 
-    /// \brief Returns if \c item is in, has already been in, or has
-    /// never been in the heap.
+    /// \brief Return the state of an item.
     ///
-    /// This method returns PRE_HEAP if \c item has never been in the
-    /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
-    /// otherwise. In the latter case it is possible that \c item will
-    /// get back to the heap again.
+    /// This method returns \c PRE_HEAP if the given item has never
+    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
+    /// and \c POST_HEAP otherwise.
+    /// In the latter case it is possible that the item will get back
+    /// to the heap again.
     /// \param i The item.
     State state(const Item &i) const {
       int s = _iim[i];
@@ -306,11 +305,11 @@
       return State(s);
     }
 
-    /// \brief Sets the state of the \c item in the heap.
+    /// \brief Set the state of an item in the heap.
     ///
-    /// Sets the state of the \c item in the heap. It can be used to
-    /// manually clear the heap when it is important to achive the
-    /// better time complexity.
+    /// This function sets the state of the given item in the heap.
+    /// It can be used to manually clear the heap when it is important
+    /// to achive better time complexity.
     /// \param i The item.
     /// \param st The state. It should not be \c IN_HEAP.
     void state(const Item& i, State st) {
@@ -327,12 +326,13 @@
       }
     }
 
-    /// \brief Replaces an item in the heap.
+    /// \brief Replace an item in the heap.
     ///
-    /// The \c i item is replaced with \c j item. The \c i item should
-    /// be in the heap, while the \c j should be out of the heap. The
-    /// \c i item will out of the heap and \c j will be in the heap
-    /// with the same prioriority as prevoiusly the \c i item.
+    /// This function replaces item \c i with item \c j.
+    /// Item \c i must be in the heap, while \c j must be out of the heap.
+    /// After calling this method, item \c i will be out of the
+    /// heap and \c j will be in the heap with the same prioriority
+    /// as item \c i had before.
     void replace(const Item& i, const Item& j) {
       int idx = _iim[i];
       _iim.set(i, _iim[j]);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/binom_heap.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/binom_heap.h	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,445 @@
+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2009
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_BINOM_HEAP_H
+#define LEMON_BINOM_HEAP_H
+
+///\file
+///\ingroup heaps
+///\brief Binomial Heap implementation.
+
+#include <vector>
+#include <utility>
+#include <functional>
+#include <lemon/math.h>
+#include <lemon/counter.h>
+
+namespace lemon {
+
+  /// \ingroup heaps
+  ///
+  ///\brief Binomial heap data structure.
+  ///
+  /// This class implements the \e binomial \e heap data structure.
+  /// It fully conforms to the \ref concepts::Heap "heap concept".
+  ///
+  /// The methods \ref increase() and \ref erase() are not efficient
+  /// in a binomial heap. In case of many calls of these operations,
+  /// it is better to use other heap structure, e.g. \ref BinHeap
+  /// "binary heap".
+  ///
+  /// \tparam PR Type of the priorities of the items.
+  /// \tparam IM A read-writable item map with \c int values, used
+  /// internally to handle the cross references.
+  /// \tparam CMP A functor class for comparing the priorities.
+  /// The default is \c std::less<PR>.
+#ifdef DOXYGEN
+  template <typename PR, typename IM, typename CMP>
+#else
+  template <typename PR, typename IM, typename CMP = std::less<PR> >
+#endif
+  class BinomHeap {
+  public:
+    /// Type of the item-int map.
+    typedef IM ItemIntMap;
+    /// Type of the priorities.
+    typedef PR Prio;
+    /// Type of the items stored in the heap.
+    typedef typename ItemIntMap::Key Item;
+    /// Functor type for comparing the priorities.
+    typedef CMP Compare;
+
+    /// \brief Type to represent the states of the items.
+    ///
+    /// Each item has a state associated to it. It can be "in heap",
+    /// "pre-heap" or "post-heap". The latter two are indifferent from the
+    /// heap's point of view, but may be useful to the user.
+    ///
+    /// The item-int map must be initialized in such way that it assigns
+    /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
+    enum State {
+      IN_HEAP = 0,    ///< = 0.
+      PRE_HEAP = -1,  ///< = -1.
+      POST_HEAP = -2  ///< = -2.
+    };
+
+  private:
+    class Store;
+
+    std::vector<Store> _data;
+    int _min, _head;
+    ItemIntMap &_iim;
+    Compare _comp;
+    int _num_items;
+
+  public:
+    /// \brief Constructor.
+    ///
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    explicit BinomHeap(ItemIntMap &map)
+      : _min(0), _head(-1), _iim(map), _num_items(0) {}
+
+    /// \brief Constructor.
+    ///
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    /// \param comp The function object used for comparing the priorities.
+    BinomHeap(ItemIntMap &map, const Compare &comp)
+      : _min(0), _head(-1), _iim(map), _comp(comp), _num_items(0) {}
+
+    /// \brief The number of items stored in the heap.
+    ///
+    /// This function returns the number of items stored in the heap.
+    int size() const { return _num_items; }
+
+    /// \brief Check if the heap is empty.
+    ///
+    /// This function returns \c true if the heap is empty.
+    bool empty() const { return _num_items==0; }
+
+    /// \brief Make the heap empty.
+    ///
+    /// This functon makes the heap empty.
+    /// It does not change the cross reference map. If you want to reuse
+    /// a heap that is not surely empty, you should first clear it and
+    /// then you should set the cross reference map to \c PRE_HEAP
+    /// for each item.
+    void clear() {
+      _data.clear(); _min=0; _num_items=0; _head=-1;
+    }
+
+    /// \brief Set the priority of an item or insert it, if it is
+    /// not stored in the heap.
+    ///
+    /// This method sets the priority of the given item if it is
+    /// already stored in the heap. Otherwise it inserts the given
+    /// item into the heap with the given priority.
+    /// \param item The item.
+    /// \param value The priority.
+    void set (const Item& item, const Prio& value) {
+      int i=_iim[item];
+      if ( i >= 0 && _data[i].in ) {
+        if ( _comp(value, _data[i].prio) ) decrease(item, value);
+        if ( _comp(_data[i].prio, value) ) increase(item, value);
+      } else push(item, value);
+    }
+
+    /// \brief Insert an item into the heap with the given priority.
+    ///
+    /// This function inserts the given item into the heap with the
+    /// given priority.
+    /// \param item The item to insert.
+    /// \param value The priority of the item.
+    /// \pre \e item must not be stored in the heap.
+    void push (const Item& item, const Prio& value) {
+      int i=_iim[item];
+      if ( i<0 ) {
+        int s=_data.size();
+        _iim.set( item,s );
+        Store st;
+        st.name=item;
+        st.prio=value;
+        _data.push_back(st);
+        i=s;
+      }
+      else {
+        _data[i].parent=_data[i].right_neighbor=_data[i].child=-1;
+        _data[i].degree=0;
+        _data[i].in=true;
+        _data[i].prio=value;
+      }
+
+      if( 0==_num_items ) {
+        _head=i;
+        _min=i;
+      } else {
+        merge(i);
+        if( _comp(_data[i].prio, _data[_min].prio) ) _min=i;
+      }
+      ++_num_items;
+    }
+
+    /// \brief Return the item having minimum priority.
+    ///
+    /// This function returns the item having minimum priority.
+    /// \pre The heap must be non-empty.
+    Item top() const { return _data[_min].name; }
+
+    /// \brief The minimum priority.
+    ///
+    /// This function returns the minimum priority.
+    /// \pre The heap must be non-empty.
+    Prio prio() const { return _data[_min].prio; }
+
+    /// \brief The priority of the given item.
+    ///
+    /// This function returns the priority of the given item.
+    /// \param item The item.
+    /// \pre \e item must be in the heap.
+    const Prio& operator[](const Item& item) const {
+      return _data[_iim[item]].prio;
+    }
+
+    /// \brief Remove the item having minimum priority.
+    ///
+    /// This function removes the item having minimum priority.
+    /// \pre The heap must be non-empty.
+    void pop() {
+      _data[_min].in=false;
+
+      int head_child=-1;
+      if ( _data[_min].child!=-1 ) {
+        int child=_data[_min].child;
+        int neighb;
+        while( child!=-1 ) {
+          neighb=_data[child].right_neighbor;
+          _data[child].parent=-1;
+          _data[child].right_neighbor=head_child;
+          head_child=child;
+          child=neighb;
+        }
+      }
+
+      if ( _data[_head].right_neighbor==-1 ) {
+        // there was only one root
+        _head=head_child;
+      }
+      else {
+        // there were more roots
+        if( _head!=_min )  { unlace(_min); }
+        else { _head=_data[_head].right_neighbor; }
+        merge(head_child);
+      }
+      _min=findMin();
+      --_num_items;
+    }
+
+    /// \brief Remove the given item from the heap.
+    ///
+    /// This function removes the given item from the heap if it is
+    /// already stored.
+    /// \param item The item to delete.
+    /// \pre \e item must be in the heap.
+    void erase (const Item& item) {
+      int i=_iim[item];
+      if ( i >= 0 && _data[i].in ) {
+        decrease( item, _data[_min].prio-1 );
+        pop();
+      }
+    }
+
+    /// \brief Decrease the priority of an item to the given value.
+    ///
+    /// This function decreases the priority of an item to the given value.
+    /// \param item The item.
+    /// \param value The priority.
+    /// \pre \e item must be stored in the heap with priority at least \e value.
+    void decrease (Item item, const Prio& value) {
+      int i=_iim[item];
+      int p=_data[i].parent;
+      _data[i].prio=value;
+      
+      while( p!=-1 && _comp(value, _data[p].prio) ) {
+        _data[i].name=_data[p].name;
+        _data[i].prio=_data[p].prio;
+        _data[p].name=item;
+        _data[p].prio=value;
+        _iim[_data[i].name]=i;
+        i=p;
+        p=_data[p].parent;
+      }
+      _iim[item]=i;
+      if ( _comp(value, _data[_min].prio) ) _min=i;
+    }
+
+    /// \brief Increase the priority of an item to the given value.
+    ///
+    /// This function increases the priority of an item to the given value.
+    /// \param item The item.
+    /// \param value The priority.
+    /// \pre \e item must be stored in the heap with priority at most \e value.
+    void increase (Item item, const Prio& value) {
+      erase(item);
+      push(item, value);
+    }
+
+    /// \brief Return the state of an item.
+    ///
+    /// This method returns \c PRE_HEAP if the given item has never
+    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
+    /// and \c POST_HEAP otherwise.
+    /// In the latter case it is possible that the item will get back
+    /// to the heap again.
+    /// \param item The item.
+    State state(const Item &item) const {
+      int i=_iim[item];
+      if( i>=0 ) {
+        if ( _data[i].in ) i=0;
+        else i=-2;
+      }
+      return State(i);
+    }
+
+    /// \brief Set the state of an item in the heap.
+    ///
+    /// This function sets the state of the given item in the heap.
+    /// It can be used to manually clear the heap when it is important
+    /// to achive better time complexity.
+    /// \param i The item.
+    /// \param st The state. It should not be \c IN_HEAP.
+    void state(const Item& i, State st) {
+      switch (st) {
+      case POST_HEAP:
+      case PRE_HEAP:
+        if (state(i) == IN_HEAP) {
+          erase(i);
+        }
+        _iim[i] = st;
+        break;
+      case IN_HEAP:
+        break;
+      }
+    }
+
+  private:
+    
+    // Find the minimum of the roots
+    int findMin() {
+      if( _head!=-1 ) {
+        int min_loc=_head, min_val=_data[_head].prio;
+        for( int x=_data[_head].right_neighbor; x!=-1;
+             x=_data[x].right_neighbor ) {
+          if( _comp( _data[x].prio,min_val ) ) {
+            min_val=_data[x].prio;
+            min_loc=x;
+          }
+        }
+        return min_loc;
+      }
+      else return -1;
+    }
+
+    // Merge the heap with another heap starting at the given position
+    void merge(int a) {
+      if( _head==-1 || a==-1 ) return;
+      if( _data[a].right_neighbor==-1 &&
+          _data[a].degree<=_data[_head].degree ) {
+        _data[a].right_neighbor=_head;
+        _head=a;
+      } else {
+        interleave(a);
+      }
+      if( _data[_head].right_neighbor==-1 ) return;
+      
+      int x=_head;
+      int x_prev=-1, x_next=_data[x].right_neighbor;
+      while( x_next!=-1 ) {
+        if( _data[x].degree!=_data[x_next].degree ||
+            ( _data[x_next].right_neighbor!=-1 &&
+              _data[_data[x_next].right_neighbor].degree==_data[x].degree ) ) {
+          x_prev=x;
+          x=x_next;
+        }
+        else {
+          if( _comp(_data[x_next].prio,_data[x].prio) ) {
+            if( x_prev==-1 ) {
+              _head=x_next;
+            } else {
+              _data[x_prev].right_neighbor=x_next;
+            }
+            fuse(x,x_next);
+            x=x_next;
+          }
+          else {
+            _data[x].right_neighbor=_data[x_next].right_neighbor;
+            fuse(x_next,x);
+          }
+        }
+        x_next=_data[x].right_neighbor;
+      }
+    }
+
+    // Interleave the elements of the given list into the list of the roots
+    void interleave(int a) {
+      int p=_head, q=a;
+      int curr=_data.size();
+      _data.push_back(Store());
+      
+      while( p!=-1 || q!=-1 ) {
+        if( q==-1 || ( p!=-1 && _data[p].degree<_data[q].degree ) ) {
+          _data[curr].right_neighbor=p;
+          curr=p;
+          p=_data[p].right_neighbor;
+        }
+        else {
+          _data[curr].right_neighbor=q;
+          curr=q;
+          q=_data[q].right_neighbor;
+        }
+      }
+      
+      _head=_data.back().right_neighbor;
+      _data.pop_back();
+    }
+
+    // Lace node a under node b
+    void fuse(int a, int b) {
+      _data[a].parent=b;
+      _data[a].right_neighbor=_data[b].child;
+      _data[b].child=a;
+
+      ++_data[b].degree;
+    }
+
+    // Unlace node a (if it has siblings)
+    void unlace(int a) {
+      int neighb=_data[a].right_neighbor;
+      int other=_head;
+
+      while( _data[other].right_neighbor!=a )
+        other=_data[other].right_neighbor;
+      _data[other].right_neighbor=neighb;
+    }
+
+  private:
+
+    class Store {
+      friend class BinomHeap;
+
+      Item name;
+      int parent;
+      int right_neighbor;
+      int child;
+      int degree;
+      bool in;
+      Prio prio;
+
+      Store() : parent(-1), right_neighbor(-1), child(-1), degree(0),
+        in(true) {}
+    };
+  };
+
+} //namespace lemon
+
+#endif //LEMON_BINOM_HEAP_H
+
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/bits/edge_set_extender.h
--- a/lemon/bits/edge_set_extender.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/bits/edge_set_extender.h	Thu Dec 10 17:18:25 2009 +0100
@@ -537,7 +537,7 @@
       typedef MapExtender<DefaultMap<Graph, Arc, _Value> > Parent;
 
     public:
-      ArcMap(const Graph& _g) 
+      explicit ArcMap(const Graph& _g) 
 	: Parent(_g) {}
       ArcMap(const Graph& _g, const _Value& _v) 
 	: Parent(_g, _v) {}
@@ -561,7 +561,7 @@
       typedef MapExtender<DefaultMap<Graph, Edge, _Value> > Parent;
 
     public:
-      EdgeMap(const Graph& _g) 
+      explicit EdgeMap(const Graph& _g) 
 	: Parent(_g) {}
 
       EdgeMap(const Graph& _g, const _Value& _v) 
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/bits/graph_extender.h
--- a/lemon/bits/graph_extender.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/bits/graph_extender.h	Thu Dec 10 17:18:25 2009 +0100
@@ -56,11 +56,11 @@
       return Parent::maxArcId();
     }
 
-    Node fromId(int id, Node) const {
+    static Node fromId(int id, Node) {
       return Parent::nodeFromId(id);
     }
 
-    Arc fromId(int id, Arc) const {
+    static Arc fromId(int id, Arc) {
       return Parent::arcFromId(id);
     }
 
@@ -355,15 +355,15 @@
       return Parent::maxEdgeId();
     }
 
-    Node fromId(int id, Node) const {
+    static Node fromId(int id, Node) {
       return Parent::nodeFromId(id);
     }
 
-    Arc fromId(int id, Arc) const {
+    static Arc fromId(int id, Arc) {
       return Parent::arcFromId(id);
     }
 
-    Edge fromId(int id, Edge) const {
+    static Edge fromId(int id, Edge) {
       return Parent::edgeFromId(id);
     }
 
@@ -604,7 +604,7 @@
       typedef MapExtender<DefaultMap<Graph, Node, _Value> > Parent;
 
     public:
-      NodeMap(const Graph& graph)
+      explicit NodeMap(const Graph& graph)
         : Parent(graph) {}
       NodeMap(const Graph& graph, const _Value& value)
         : Parent(graph, value) {}
@@ -628,7 +628,7 @@
       typedef MapExtender<DefaultMap<Graph, Arc, _Value> > Parent;
 
     public:
-      ArcMap(const Graph& graph)
+      explicit ArcMap(const Graph& graph)
         : Parent(graph) {}
       ArcMap(const Graph& graph, const _Value& value)
         : Parent(graph, value) {}
@@ -652,7 +652,7 @@
       typedef MapExtender<DefaultMap<Graph, Edge, _Value> > Parent;
 
     public:
-      EdgeMap(const Graph& graph)
+      explicit EdgeMap(const Graph& graph)
         : Parent(graph) {}
 
       EdgeMap(const Graph& graph, const _Value& value)
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/bucket_heap.h
--- a/lemon/bucket_heap.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/bucket_heap.h	Thu Dec 10 17:18:25 2009 +0100
@@ -19,9 +19,9 @@
 #ifndef LEMON_BUCKET_HEAP_H
 #define LEMON_BUCKET_HEAP_H
 
-///\ingroup auxdat
+///\ingroup heaps
 ///\file
-///\brief Bucket Heap implementation.
+///\brief Bucket heap implementation.
 
 #include <vector>
 #include <utility>
@@ -53,35 +53,41 @@
 
   }
 
-  /// \ingroup auxdat
+  /// \ingroup heaps
   ///
-  /// \brief A Bucket Heap implementation.
+  /// \brief Bucket heap data structure.
   ///
-  /// This class implements the \e bucket \e heap data structure. A \e heap
-  /// is a data structure for storing items with specified values called \e
-  /// priorities in such a way that finding the item with minimum priority is
-  /// efficient. The bucket heap is very simple implementation, it can store
-  /// only integer priorities and it stores for each priority in the
-  /// \f$ [0..C) \f$ range a list of items. So it should be used only when
-  /// the priorities are small. It is not intended to use as dijkstra heap.
+  /// This class implements the \e bucket \e heap data structure.
+  /// It practically conforms to the \ref concepts::Heap "heap concept",
+  /// but it has some limitations.
   ///
-  /// \param IM A read and write Item int map, used internally
-  /// to handle the cross references.
-  /// \param MIN If the given parameter is false then instead of the
-  /// minimum value the maximum can be retrivied with the top() and
-  /// prio() member functions.
+  /// The bucket heap is a very simple structure. It can store only
+  /// \c int priorities and it maintains a list of items for each priority
+  /// in the range <tt>[0..C)</tt>. So it should only be used when the
+  /// priorities are small. It is not intended to use as a Dijkstra heap.
+  ///
+  /// \tparam IM A read-writable item map with \c int values, used
+  /// internally to handle the cross references.
+  /// \tparam MIN Indicate if the heap is a \e min-heap or a \e max-heap.
+  /// The default is \e min-heap. If this parameter is set to \c false,
+  /// then the comparison is reversed, so the top(), prio() and pop()
+  /// functions deal with the item having maximum priority instead of the
+  /// minimum.
+  ///
+  /// \sa SimpleBucketHeap
   template <typename IM, bool MIN = true>
   class BucketHeap {
 
   public:
-    /// \e
-    typedef typename IM::Key Item;
-    /// \e
+
+    /// Type of the item-int map.
+    typedef IM ItemIntMap;
+    /// Type of the priorities.
     typedef int Prio;
-    /// \e
-    typedef std::pair<Item, Prio> Pair;
-    /// \e
-    typedef IM ItemIntMap;
+    /// Type of the items stored in the heap.
+    typedef typename ItemIntMap::Key Item;
+    /// Type of the item-priority pairs.
+    typedef std::pair<Item,Prio> Pair;
 
   private:
 
@@ -89,10 +95,10 @@
 
   public:
 
-    /// \brief Type to represent the items states.
+    /// \brief Type to represent the states of the items.
     ///
-    /// Each Item element have a state associated to it. It may be "in heap",
-    /// "pre heap" or "post heap". The latter two are indifferent from the
+    /// Each item has a state associated to it. It can be "in heap",
+    /// "pre-heap" or "post-heap". The latter two are indifferent from the
     /// heap's point of view, but may be useful to the user.
     ///
     /// The item-int map must be initialized in such way that it assigns
@@ -104,37 +110,39 @@
     };
 
   public:
-    /// \brief The constructor.
+
+    /// \brief Constructor.
     ///
-    /// The constructor.
-    /// \param map should be given to the constructor, since it is used
-    /// internally to handle the cross references. The value of the map
-    /// should be PRE_HEAP (-1) for each element.
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
     explicit BucketHeap(ItemIntMap &map) : _iim(map), _minimum(0) {}
 
-    /// The number of items stored in the heap.
+    /// \brief The number of items stored in the heap.
     ///
-    /// \brief Returns the number of items stored in the heap.
+    /// This function returns the number of items stored in the heap.
     int size() const { return _data.size(); }
 
-    /// \brief Checks if the heap stores no items.
+    /// \brief Check if the heap is empty.
     ///
-    /// Returns \c true if and only if the heap stores no items.
+    /// This function returns \c true if the heap is empty.
     bool empty() const { return _data.empty(); }
 
-    /// \brief Make empty this heap.
+    /// \brief Make the heap empty.
     ///
-    /// Make empty this heap. It does not change the cross reference
-    /// map.  If you want to reuse a heap what is not surely empty you
-    /// should first clear the heap and after that you should set the
-    /// cross reference map for each item to \c PRE_HEAP.
+    /// This functon makes the heap empty.
+    /// It does not change the cross reference map. If you want to reuse
+    /// a heap that is not surely empty, you should first clear it and
+    /// then you should set the cross reference map to \c PRE_HEAP
+    /// for each item.
     void clear() {
       _data.clear(); _first.clear(); _minimum = 0;
     }
 
   private:
 
-    void relocate_last(int idx) {
+    void relocateLast(int idx) {
       if (idx + 1 < int(_data.size())) {
         _data[idx] = _data.back();
         if (_data[idx].prev != -1) {
@@ -174,19 +182,24 @@
     }
 
   public:
+
     /// \brief Insert a pair of item and priority into the heap.
     ///
-    /// Adds \c p.first to the heap with priority \c p.second.
+    /// This function inserts \c p.first to the heap with priority
+    /// \c p.second.
     /// \param p The pair to insert.
+    /// \pre \c p.first must not be stored in the heap.
     void push(const Pair& p) {
       push(p.first, p.second);
     }
 
     /// \brief Insert an item into the heap with the given priority.
     ///
-    /// Adds \c i to the heap with priority \c p.
+    /// This function inserts the given item into the heap with the
+    /// given priority.
     /// \param i The item to insert.
     /// \param p The priority of the item.
+    /// \pre \e i must not be stored in the heap.
     void push(const Item &i, const Prio &p) {
       int idx = _data.size();
       _iim[i] = idx;
@@ -197,10 +210,10 @@
       }
     }
 
-    /// \brief Returns the item with minimum priority.
+    /// \brief Return the item having minimum priority.
     ///
-    /// This method returns the item with minimum priority.
-    /// \pre The heap must be nonempty.
+    /// This function returns the item having minimum priority.
+    /// \pre The heap must be non-empty.
     Item top() const {
       while (_first[_minimum] == -1) {
         Direction::increase(_minimum);
@@ -208,10 +221,10 @@
       return _data[_first[_minimum]].item;
     }
 
-    /// \brief Returns the minimum priority.
+    /// \brief The minimum priority.
     ///
-    /// It returns the minimum priority.
-    /// \pre The heap must be nonempty.
+    /// This function returns the minimum priority.
+    /// \pre The heap must be non-empty.
     Prio prio() const {
       while (_first[_minimum] == -1) {
         Direction::increase(_minimum);
@@ -219,9 +232,9 @@
       return _minimum;
     }
 
-    /// \brief Deletes the item with minimum priority.
+    /// \brief Remove the item having minimum priority.
     ///
-    /// This method deletes the item with minimum priority from the heap.
+    /// This function removes the item having minimum priority.
     /// \pre The heap must be non-empty.
     void pop() {
       while (_first[_minimum] == -1) {
@@ -230,37 +243,38 @@
       int idx = _first[_minimum];
       _iim[_data[idx].item] = -2;
       unlace(idx);
-      relocate_last(idx);
+      relocateLast(idx);
     }
 
-    /// \brief Deletes \c i from the heap.
+    /// \brief Remove the given item from the heap.
     ///
-    /// This method deletes item \c i from the heap, if \c i was
-    /// already stored in the heap.
-    /// \param i The item to erase.
+    /// This function removes the given item from the heap if it is
+    /// already stored.
+    /// \param i The item to delete.
+    /// \pre \e i must be in the heap.
     void erase(const Item &i) {
       int idx = _iim[i];
       _iim[_data[idx].item] = -2;
       unlace(idx);
-      relocate_last(idx);
+      relocateLast(idx);
     }
 
-
-    /// \brief Returns the priority of \c i.
+    /// \brief The priority of the given item.
     ///
-    /// This function returns the priority of item \c i.
-    /// \pre \c i must be in the heap.
+    /// This function returns the priority of the given item.
     /// \param i The item.
+    /// \pre \e i must be in the heap.
     Prio operator[](const Item &i) const {
       int idx = _iim[i];
       return _data[idx].value;
     }
 
-    /// \brief \c i gets to the heap with priority \c p independently
-    /// if \c i was already there.
+    /// \brief Set the priority of an item or insert it, if it is
+    /// not stored in the heap.
     ///
-    /// This method calls \ref push(\c i, \c p) if \c i is not stored
-    /// in the heap and sets the priority of \c i to \c p otherwise.
+    /// This method sets the priority of the given item if it is
+    /// already stored in the heap. Otherwise it inserts the given
+    /// item into the heap with the given priority.
     /// \param i The item.
     /// \param p The priority.
     void set(const Item &i, const Prio &p) {
@@ -274,13 +288,12 @@
       }
     }
 
-    /// \brief Decreases the priority of \c i to \c p.
+    /// \brief Decrease the priority of an item to the given value.
     ///
-    /// This method decreases the priority of item \c i to \c p.
-    /// \pre \c i must be stored in the heap with priority at least \c
-    /// p relative to \c Compare.
+    /// This function decreases the priority of an item to the given value.
     /// \param i The item.
     /// \param p The priority.
+    /// \pre \e i must be stored in the heap with priority at least \e p.
     void decrease(const Item &i, const Prio &p) {
       int idx = _iim[i];
       unlace(idx);
@@ -291,13 +304,12 @@
       lace(idx);
     }
 
-    /// \brief Increases the priority of \c i to \c p.
+    /// \brief Increase the priority of an item to the given value.
     ///
-    /// This method sets the priority of item \c i to \c p.
-    /// \pre \c i must be stored in the heap with priority at most \c
-    /// p relative to \c Compare.
+    /// This function increases the priority of an item to the given value.
     /// \param i The item.
     /// \param p The priority.
+    /// \pre \e i must be stored in the heap with priority at most \e p.
     void increase(const Item &i, const Prio &p) {
       int idx = _iim[i];
       unlace(idx);
@@ -305,13 +317,13 @@
       lace(idx);
     }
 
-    /// \brief Returns if \c item is in, has already been in, or has
-    /// never been in the heap.
+    /// \brief Return the state of an item.
     ///
-    /// This method returns PRE_HEAP if \c item has never been in the
-    /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
-    /// otherwise. In the latter case it is possible that \c item will
-    /// get back to the heap again.
+    /// This method returns \c PRE_HEAP if the given item has never
+    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
+    /// and \c POST_HEAP otherwise.
+    /// In the latter case it is possible that the item will get back
+    /// to the heap again.
     /// \param i The item.
     State state(const Item &i) const {
       int idx = _iim[i];
@@ -319,11 +331,11 @@
       return State(idx);
     }
 
-    /// \brief Sets the state of the \c item in the heap.
+    /// \brief Set the state of an item in the heap.
     ///
-    /// Sets the state of the \c item in the heap. It can be used to
-    /// manually clear the heap when it is important to achive the
-    /// better time complexity.
+    /// This function sets the state of the given item in the heap.
+    /// It can be used to manually clear the heap when it is important
+    /// to achive better time complexity.
     /// \param i The item.
     /// \param st The state. It should not be \c IN_HEAP.
     void state(const Item& i, State st) {
@@ -359,33 +371,44 @@
 
   }; // class BucketHeap
 
-  /// \ingroup auxdat
+  /// \ingroup heaps
   ///
-  /// \brief A Simplified Bucket Heap implementation.
+  /// \brief Simplified bucket heap data structure.
   ///
   /// This class implements a simplified \e bucket \e heap data
-  /// structure.  It does not provide some functionality but it faster
-  /// and simplier data structure than the BucketHeap. The main
-  /// difference is that the BucketHeap stores for every key a double
-  /// linked list while this class stores just simple lists. In the
-  /// other way it does not support erasing each elements just the
-  /// minimal and it does not supports key increasing, decreasing.
+  /// structure. It does not provide some functionality, but it is
+  /// faster and simpler than BucketHeap. The main difference is
+  /// that BucketHeap stores a doubly-linked list for each key while
+  /// this class stores only simply-linked lists. It supports erasing
+  /// only for the item having minimum priority and it does not support
+  /// key increasing and decreasing.
   ///
-  /// \param IM A read and write Item int map, used internally
-  /// to handle the cross references.
-  /// \param MIN If the given parameter is false then instead of the
-  /// minimum value the maximum can be retrivied with the top() and
-  /// prio() member functions.
+  /// Note that this implementation does not conform to the
+  /// \ref concepts::Heap "heap concept" due to the lack of some 
+  /// functionality.
+  ///
+  /// \tparam IM A read-writable item map with \c int values, used
+  /// internally to handle the cross references.
+  /// \tparam MIN Indicate if the heap is a \e min-heap or a \e max-heap.
+  /// The default is \e min-heap. If this parameter is set to \c false,
+  /// then the comparison is reversed, so the top(), prio() and pop()
+  /// functions deal with the item having maximum priority instead of the
+  /// minimum.
   ///
   /// \sa BucketHeap
   template <typename IM, bool MIN = true >
   class SimpleBucketHeap {
 
   public:
-    typedef typename IM::Key Item;
+
+    /// Type of the item-int map.
+    typedef IM ItemIntMap;
+    /// Type of the priorities.
     typedef int Prio;
-    typedef std::pair<Item, Prio> Pair;
-    typedef IM ItemIntMap;
+    /// Type of the items stored in the heap.
+    typedef typename ItemIntMap::Key Item;
+    /// Type of the item-priority pairs.
+    typedef std::pair<Item,Prio> Pair;
 
   private:
 
@@ -393,10 +416,10 @@
 
   public:
 
-    /// \brief Type to represent the items states.
+    /// \brief Type to represent the states of the items.
     ///
-    /// Each Item element have a state associated to it. It may be "in heap",
-    /// "pre heap" or "post heap". The latter two are indifferent from the
+    /// Each item has a state associated to it. It can be "in heap",
+    /// "pre-heap" or "post-heap". The latter two are indifferent from the
     /// heap's point of view, but may be useful to the user.
     ///
     /// The item-int map must be initialized in such way that it assigns
@@ -409,48 +432,53 @@
 
   public:
 
-    /// \brief The constructor.
+    /// \brief Constructor.
     ///
-    /// The constructor.
-    /// \param map should be given to the constructor, since it is used
-    /// internally to handle the cross references. The value of the map
-    /// should be PRE_HEAP (-1) for each element.
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
     explicit SimpleBucketHeap(ItemIntMap &map)
       : _iim(map), _free(-1), _num(0), _minimum(0) {}
 
-    /// \brief Returns the number of items stored in the heap.
+    /// \brief The number of items stored in the heap.
     ///
-    /// The number of items stored in the heap.
+    /// This function returns the number of items stored in the heap.
     int size() const { return _num; }
 
-    /// \brief Checks if the heap stores no items.
+    /// \brief Check if the heap is empty.
     ///
-    /// Returns \c true if and only if the heap stores no items.
+    /// This function returns \c true if the heap is empty.
     bool empty() const { return _num == 0; }
 
-    /// \brief Make empty this heap.
+    /// \brief Make the heap empty.
     ///
-    /// Make empty this heap. It does not change the cross reference
-    /// map.  If you want to reuse a heap what is not surely empty you
-    /// should first clear the heap and after that you should set the
-    /// cross reference map for each item to \c PRE_HEAP.
+    /// This functon makes the heap empty.
+    /// It does not change the cross reference map. If you want to reuse
+    /// a heap that is not surely empty, you should first clear it and
+    /// then you should set the cross reference map to \c PRE_HEAP
+    /// for each item.
     void clear() {
       _data.clear(); _first.clear(); _free = -1; _num = 0; _minimum = 0;
     }
 
     /// \brief Insert a pair of item and priority into the heap.
     ///
-    /// Adds \c p.first to the heap with priority \c p.second.
+    /// This function inserts \c p.first to the heap with priority
+    /// \c p.second.
     /// \param p The pair to insert.
+    /// \pre \c p.first must not be stored in the heap.
     void push(const Pair& p) {
       push(p.first, p.second);
     }
 
     /// \brief Insert an item into the heap with the given priority.
     ///
-    /// Adds \c i to the heap with priority \c p.
+    /// This function inserts the given item into the heap with the
+    /// given priority.
     /// \param i The item to insert.
     /// \param p The priority of the item.
+    /// \pre \e i must not be stored in the heap.
     void push(const Item &i, const Prio &p) {
       int idx;
       if (_free == -1) {
@@ -471,10 +499,10 @@
       ++_num;
     }
 
-    /// \brief Returns the item with minimum priority.
+    /// \brief Return the item having minimum priority.
     ///
-    /// This method returns the item with minimum priority.
-    /// \pre The heap must be nonempty.
+    /// This function returns the item having minimum priority.
+    /// \pre The heap must be non-empty.
     Item top() const {
       while (_first[_minimum] == -1) {
         Direction::increase(_minimum);
@@ -482,10 +510,10 @@
       return _data[_first[_minimum]].item;
     }
 
-    /// \brief Returns the minimum priority.
+    /// \brief The minimum priority.
     ///
-    /// It returns the minimum priority.
-    /// \pre The heap must be nonempty.
+    /// This function returns the minimum priority.
+    /// \pre The heap must be non-empty.
     Prio prio() const {
       while (_first[_minimum] == -1) {
         Direction::increase(_minimum);
@@ -493,9 +521,9 @@
       return _minimum;
     }
 
-    /// \brief Deletes the item with minimum priority.
+    /// \brief Remove the item having minimum priority.
     ///
-    /// This method deletes the item with minimum priority from the heap.
+    /// This function removes the item having minimum priority.
     /// \pre The heap must be non-empty.
     void pop() {
       while (_first[_minimum] == -1) {
@@ -509,16 +537,15 @@
       --_num;
     }
 
-    /// \brief Returns the priority of \c i.
+    /// \brief The priority of the given item.
     ///
-    /// This function returns the priority of item \c i.
-    /// \warning This operator is not a constant time function
-    /// because it scans the whole data structure to find the proper
-    /// value.
-    /// \pre \c i must be in the heap.
+    /// This function returns the priority of the given item.
     /// \param i The item.
+    /// \pre \e i must be in the heap.
+    /// \warning This operator is not a constant time function because
+    /// it scans the whole data structure to find the proper value.
     Prio operator[](const Item &i) const {
-      for (int k = 0; k < _first.size(); ++k) {
+      for (int k = 0; k < int(_first.size()); ++k) {
         int idx = _first[k];
         while (idx != -1) {
           if (_data[idx].item == i) {
@@ -530,13 +557,13 @@
       return -1;
     }
 
-    /// \brief Returns if \c item is in, has already been in, or has
-    /// never been in the heap.
+    /// \brief Return the state of an item.
     ///
-    /// This method returns PRE_HEAP if \c item has never been in the
-    /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
-    /// otherwise. In the latter case it is possible that \c item will
-    /// get back to the heap again.
+    /// This method returns \c PRE_HEAP if the given item has never
+    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
+    /// and \c POST_HEAP otherwise.
+    /// In the latter case it is possible that the item will get back
+    /// to the heap again.
     /// \param i The item.
     State state(const Item &i) const {
       int idx = _iim[i];
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/cbc.cc
--- a/lemon/cbc.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/cbc.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -94,6 +94,18 @@
     return _prob->numberRows() - 1;
   }
 
+  int CbcMip::_addRow(Value l, ExprIterator b, ExprIterator e, Value u) {
+    std::vector<int> indexes;
+    std::vector<Value> values;
+
+    for(ExprIterator it = b; it != e; ++it) {
+      indexes.push_back(it->first);
+      values.push_back(it->second);
+    }
+
+    _prob->addRow(values.size(), &indexes.front(), &values.front(), l, u);
+    return _prob->numberRows() - 1;
+  }
 
   void CbcMip::_eraseCol(int i) {
     _prob->deleteColumn(i);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/cbc.h
--- a/lemon/cbc.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/cbc.h	Thu Dec 10 17:18:25 2009 +0100
@@ -62,6 +62,7 @@
 
     virtual int _addCol();
     virtual int _addRow();
+    virtual int _addRow(Value l, ExprIterator b, ExprIterator e, Value u);
 
     virtual void _eraseCol(int i);
     virtual void _eraseRow(int i);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/circulation.h
--- a/lemon/circulation.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/circulation.h	Thu Dec 10 17:18:25 2009 +0100
@@ -72,7 +72,11 @@
     /// The type of the map that stores the flow values.
     /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap"
     /// concept.
+#ifdef DOXYGEN
+    typedef GR::ArcMap<Value> FlowMap;
+#else
     typedef typename Digraph::template ArcMap<Value> FlowMap;
+#endif
 
     /// \brief Instantiates a FlowMap.
     ///
@@ -87,9 +91,12 @@
     ///
     /// The elevator type used by the algorithm.
     ///
-    /// \sa Elevator
-    /// \sa LinkedElevator
+    /// \sa Elevator, LinkedElevator
+#ifdef DOXYGEN
+    typedef lemon::Elevator<GR, GR::Node> Elevator;
+#else
     typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator;
+#endif
 
     /// \brief Instantiates an Elevator.
     ///
@@ -299,7 +306,7 @@
     /// The Elevator should have standard constructor interface to be
     /// able to automatically created by the algorithm (i.e. the
     /// digraph and the maximum level should be passed to it).
-    /// However an external elevator object could also be passed to the
+    /// However, an external elevator object could also be passed to the
     /// algorithm with the \ref elevator(Elevator&) "elevator()" function
     /// before calling \ref run() or \ref init().
     /// \sa SetElevator
@@ -450,25 +457,27 @@
       return *_level;
     }
 
-    /// \brief Sets the tolerance used by algorithm.
+    /// \brief Sets the tolerance used by the algorithm.
     ///
-    /// Sets the tolerance used by algorithm.
-    Circulation& tolerance(const Tolerance& tolerance) const {
+    /// Sets the tolerance object used by the algorithm.
+    /// \return <tt>(*this)</tt>
+    Circulation& tolerance(const Tolerance& tolerance) {
       _tol = tolerance;
       return *this;
     }
 
     /// \brief Returns a const reference to the tolerance.
     ///
-    /// Returns a const reference to the tolerance.
+    /// Returns a const reference to the tolerance object used by
+    /// the algorithm.
     const Tolerance& tolerance() const {
-      return tolerance;
+      return _tol;
     }
 
     /// \name Execution Control
     /// The simplest way to execute the algorithm is to call \ref run().\n
-    /// If you need more control on the initial solution or the execution,
-    /// first you have to call one of the \ref init() functions, then
+    /// If you need better control on the initial solution or the execution,
+    /// you have to call one of the \ref init() functions first, then
     /// the \ref start() function.
 
     ///@{
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/clp.cc
--- a/lemon/clp.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/clp.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -78,6 +78,19 @@
     return _prob->numberRows() - 1;
   }
 
+  int ClpLp::_addRow(Value l, ExprIterator b, ExprIterator e, Value u) {
+    std::vector<int> indexes;
+    std::vector<Value> values;
+
+    for(ExprIterator it = b; it != e; ++it) {
+      indexes.push_back(it->first);
+      values.push_back(it->second);
+    }
+
+    _prob->addRow(values.size(), &indexes.front(), &values.front(), l, u);
+    return _prob->numberRows() - 1;
+  }
+
 
   void ClpLp::_eraseCol(int c) {
     _col_names_ref.erase(_prob->getColumnName(c));
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/clp.h
--- a/lemon/clp.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/clp.h	Thu Dec 10 17:18:25 2009 +0100
@@ -75,6 +75,7 @@
 
     virtual int _addCol();
     virtual int _addRow();
+    virtual int _addRow(Value l, ExprIterator b, ExprIterator e, Value u);
 
     virtual void _eraseCol(int i);
     virtual void _eraseRow(int i);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/concepts/digraph.h
--- a/lemon/concepts/digraph.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/concepts/digraph.h	Thu Dec 10 17:18:25 2009 +0100
@@ -35,46 +35,40 @@
     ///
     /// \brief Class describing the concept of directed graphs.
     ///
-    /// This class describes the \ref concept "concept" of the
-    /// immutable directed digraphs.
+    /// This class describes the common interface of all directed
+    /// graphs (digraphs).
     ///
-    /// Note that actual digraph implementation like @ref ListDigraph or
-    /// @ref SmartDigraph may have several additional functionality.
+    /// Like all concept classes, it only provides an interface
+    /// without any sensible implementation. So any general algorithm for
+    /// directed graphs should compile with this class, but it will not
+    /// run properly, of course.
+    /// An actual digraph implementation like \ref ListDigraph or
+    /// \ref SmartDigraph may have additional functionality.
     ///
-    /// \sa concept
+    /// \sa Graph
     class Digraph {
     private:
-      ///Digraphs are \e not copy constructible. Use DigraphCopy() instead.
+      /// Diraphs are \e not copy constructible. Use DigraphCopy instead.
+      Digraph(const Digraph &) {}
+      /// \brief Assignment of a digraph to another one is \e not allowed.
+      /// Use DigraphCopy instead.
+      void operator=(const Digraph &) {}
 
-      ///Digraphs are \e not copy constructible. Use DigraphCopy() instead.
-      ///
-      Digraph(const Digraph &) {};
-      ///\brief Assignment of \ref Digraph "Digraph"s to another ones are
-      ///\e not allowed. Use DigraphCopy() instead.
+    public:
+      /// Default constructor.
+      Digraph() { }
 
-      ///Assignment of \ref Digraph "Digraph"s to another ones are
-      ///\e not allowed.  Use DigraphCopy() instead.
-
-      void operator=(const Digraph &) {}
-    public:
-      ///\e
-
-      /// Defalult constructor.
-
-      /// Defalult constructor.
-      ///
-      Digraph() { }
-      /// Class for identifying a node of the digraph
+      /// The node type of the digraph
 
       /// This class identifies a node of the digraph. It also serves
       /// as a base class of the node iterators,
-      /// thus they will convert to this type.
+      /// thus they convert to this type.
       class Node {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the object to an undefined value.
         Node() { }
         /// Copy constructor.
 
@@ -82,40 +76,39 @@
         ///
         Node(const Node&) { }
 
-        /// Invalid constructor \& conversion.
+        /// %Invalid constructor \& conversion.
 
-        /// This constructor initializes the iterator to be invalid.
+        /// Initializes the object to be invalid.
         /// \sa Invalid for more details.
         Node(Invalid) { }
         /// Equality operator
 
+        /// Equality operator.
+        ///
         /// Two iterators are equal if and only if they point to the
-        /// same object or both are invalid.
+        /// same object or both are \c INVALID.
         bool operator==(Node) const { return true; }
 
         /// Inequality operator
 
-        /// \sa operator==(Node n)
-        ///
+        /// Inequality operator.
         bool operator!=(Node) const { return true; }
 
         /// Artificial ordering operator.
 
-        /// To allow the use of digraph descriptors as key type in std::map or
-        /// similar associative container we require this.
+        /// Artificial ordering operator.
         ///
-        /// \note This operator only have to define some strict ordering of
-        /// the items; this order has nothing to do with the iteration
-        /// ordering of the items.
+        /// \note This operator only has to define some strict ordering of
+        /// the nodes; this order has nothing to do with the iteration
+        /// ordering of the nodes.
         bool operator<(Node) const { return false; }
-
       };
 
-      /// This iterator goes through each node.
+      /// Iterator class for the nodes.
 
-      /// This iterator goes through each node.
-      /// Its usage is quite simple, for example you can count the number
-      /// of nodes in digraph \c g of type \c Digraph like this:
+      /// This iterator goes through each node of the digraph.
+      /// Its usage is quite simple, for example, you can count the number
+      /// of nodes in a digraph \c g of type \c %Digraph like this:
       ///\code
       /// int count=0;
       /// for (Digraph::NodeIt n(g); n!=INVALID; ++n) ++count;
@@ -124,30 +117,28 @@
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the iterator to an undefined value.
         NodeIt() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         NodeIt(const NodeIt& n) : Node(n) { }
-        /// Invalid constructor \& conversion.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
+        /// Initializes the iterator to be invalid.
         /// \sa Invalid for more details.
         NodeIt(Invalid) { }
         /// Sets the iterator to the first node.
 
-        /// Sets the iterator to the first node of \c g.
+        /// Sets the iterator to the first node of the given digraph.
         ///
-        NodeIt(const Digraph&) { }
-        /// Node -> NodeIt conversion.
+        explicit NodeIt(const Digraph&) { }
+        /// Sets the iterator to the given node.
 
-        /// Sets the iterator to the node of \c the digraph pointed by
-        /// the trivial iterator.
-        /// This feature necessitates that each time we
-        /// iterate the arc-set, the iteration order is the same.
+        /// Sets the iterator to the given node of the given digraph.
+        ///
         NodeIt(const Digraph&, const Node&) { }
         /// Next node.
 
@@ -157,7 +148,7 @@
       };
 
 
-      /// Class for identifying an arc of the digraph
+      /// The arc type of the digraph
 
       /// This class identifies an arc of the digraph. It also serves
       /// as a base class of the arc iterators,
@@ -166,207 +157,214 @@
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the object to an undefined value.
         Arc() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         Arc(const Arc&) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
-        ///
+        /// Initializes the object to be invalid.
+        /// \sa Invalid for more details.
         Arc(Invalid) { }
         /// Equality operator
 
+        /// Equality operator.
+        ///
         /// Two iterators are equal if and only if they point to the
-        /// same object or both are invalid.
+        /// same object or both are \c INVALID.
         bool operator==(Arc) const { return true; }
         /// Inequality operator
 
-        /// \sa operator==(Arc n)
-        ///
+        /// Inequality operator.
         bool operator!=(Arc) const { return true; }
 
         /// Artificial ordering operator.
 
-        /// To allow the use of digraph descriptors as key type in std::map or
-        /// similar associative container we require this.
+        /// Artificial ordering operator.
         ///
-        /// \note This operator only have to define some strict ordering of
-        /// the items; this order has nothing to do with the iteration
-        /// ordering of the items.
+        /// \note This operator only has to define some strict ordering of
+        /// the arcs; this order has nothing to do with the iteration
+        /// ordering of the arcs.
         bool operator<(Arc) const { return false; }
       };
 
-      /// This iterator goes trough the outgoing arcs of a node.
+      /// Iterator class for the outgoing arcs of a node.
 
       /// This iterator goes trough the \e outgoing arcs of a certain node
       /// of a digraph.
-      /// Its usage is quite simple, for example you can count the number
+      /// Its usage is quite simple, for example, you can count the number
       /// of outgoing arcs of a node \c n
-      /// in digraph \c g of type \c Digraph as follows.
+      /// in a digraph \c g of type \c %Digraph as follows.
       ///\code
       /// int count=0;
-      /// for (Digraph::OutArcIt e(g, n); e!=INVALID; ++e) ++count;
+      /// for (Digraph::OutArcIt a(g, n); a!=INVALID; ++a) ++count;
       ///\endcode
-
       class OutArcIt : public Arc {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the iterator to an undefined value.
         OutArcIt() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         OutArcIt(const OutArcIt& e) : Arc(e) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
+        /// Initializes the iterator to be invalid.
+        /// \sa Invalid for more details.
+        OutArcIt(Invalid) { }
+        /// Sets the iterator to the first outgoing arc.
+
+        /// Sets the iterator to the first outgoing arc of the given node.
         ///
-        OutArcIt(Invalid) { }
-        /// This constructor sets the iterator to the first outgoing arc.
+        OutArcIt(const Digraph&, const Node&) { }
+        /// Sets the iterator to the given arc.
 
-        /// This constructor sets the iterator to the first outgoing arc of
-        /// the node.
-        OutArcIt(const Digraph&, const Node&) { }
-        /// Arc -> OutArcIt conversion
-
-        /// Sets the iterator to the value of the trivial iterator.
-        /// This feature necessitates that each time we
-        /// iterate the arc-set, the iteration order is the same.
+        /// Sets the iterator to the given arc of the given digraph.
+        ///
         OutArcIt(const Digraph&, const Arc&) { }
-        ///Next outgoing arc
+        /// Next outgoing arc
 
         /// Assign the iterator to the next
         /// outgoing arc of the corresponding node.
         OutArcIt& operator++() { return *this; }
       };
 
-      /// This iterator goes trough the incoming arcs of a node.
+      /// Iterator class for the incoming arcs of a node.
 
       /// This iterator goes trough the \e incoming arcs of a certain node
       /// of a digraph.
-      /// Its usage is quite simple, for example you can count the number
-      /// of outgoing arcs of a node \c n
-      /// in digraph \c g of type \c Digraph as follows.
+      /// Its usage is quite simple, for example, you can count the number
+      /// of incoming arcs of a node \c n
+      /// in a digraph \c g of type \c %Digraph as follows.
       ///\code
       /// int count=0;
-      /// for(Digraph::InArcIt e(g, n); e!=INVALID; ++e) ++count;
+      /// for(Digraph::InArcIt a(g, n); a!=INVALID; ++a) ++count;
       ///\endcode
-
       class InArcIt : public Arc {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the iterator to an undefined value.
         InArcIt() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         InArcIt(const InArcIt& e) : Arc(e) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
+        /// Initializes the iterator to be invalid.
+        /// \sa Invalid for more details.
+        InArcIt(Invalid) { }
+        /// Sets the iterator to the first incoming arc.
+
+        /// Sets the iterator to the first incoming arc of the given node.
         ///
-        InArcIt(Invalid) { }
-        /// This constructor sets the iterator to first incoming arc.
+        InArcIt(const Digraph&, const Node&) { }
+        /// Sets the iterator to the given arc.
 
-        /// This constructor set the iterator to the first incoming arc of
-        /// the node.
-        InArcIt(const Digraph&, const Node&) { }
-        /// Arc -> InArcIt conversion
-
-        /// Sets the iterator to the value of the trivial iterator \c e.
-        /// This feature necessitates that each time we
-        /// iterate the arc-set, the iteration order is the same.
+        /// Sets the iterator to the given arc of the given digraph.
+        ///
         InArcIt(const Digraph&, const Arc&) { }
         /// Next incoming arc
 
-        /// Assign the iterator to the next inarc of the corresponding node.
-        ///
+        /// Assign the iterator to the next
+        /// incoming arc of the corresponding node.
         InArcIt& operator++() { return *this; }
       };
-      /// This iterator goes through each arc.
 
-      /// This iterator goes through each arc of a digraph.
-      /// Its usage is quite simple, for example you can count the number
-      /// of arcs in a digraph \c g of type \c Digraph as follows:
+      /// Iterator class for the arcs.
+
+      /// This iterator goes through each arc of the digraph.
+      /// Its usage is quite simple, for example, you can count the number
+      /// of arcs in a digraph \c g of type \c %Digraph as follows:
       ///\code
       /// int count=0;
-      /// for(Digraph::ArcIt e(g); e!=INVALID; ++e) ++count;
+      /// for(Digraph::ArcIt a(g); a!=INVALID; ++a) ++count;
       ///\endcode
       class ArcIt : public Arc {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the iterator to an undefined value.
         ArcIt() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         ArcIt(const ArcIt& e) : Arc(e) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
+        /// Initializes the iterator to be invalid.
+        /// \sa Invalid for more details.
+        ArcIt(Invalid) { }
+        /// Sets the iterator to the first arc.
+
+        /// Sets the iterator to the first arc of the given digraph.
         ///
-        ArcIt(Invalid) { }
-        /// This constructor sets the iterator to the first arc.
+        explicit ArcIt(const Digraph& g) { ignore_unused_variable_warning(g); }
+        /// Sets the iterator to the given arc.
 
-        /// This constructor sets the iterator to the first arc of \c g.
-        ///@param g the digraph
-        ArcIt(const Digraph& g) { ignore_unused_variable_warning(g); }
-        /// Arc -> ArcIt conversion
-
-        /// Sets the iterator to the value of the trivial iterator \c e.
-        /// This feature necessitates that each time we
-        /// iterate the arc-set, the iteration order is the same.
+        /// Sets the iterator to the given arc of the given digraph.
+        ///
         ArcIt(const Digraph&, const Arc&) { }
-        ///Next arc
+        /// Next arc
 
         /// Assign the iterator to the next arc.
+        ///
         ArcIt& operator++() { return *this; }
       };
-      ///Gives back the target node of an arc.
 
-      ///Gives back the target node of an arc.
+      /// \brief The source node of the arc.
       ///
-      Node target(Arc) const { return INVALID; }
-      ///Gives back the source node of an arc.
-
-      ///Gives back the source node of an arc.
-      ///
+      /// Returns the source node of the given arc.
       Node source(Arc) const { return INVALID; }
 
-      /// \brief Returns the ID of the node.
+      /// \brief The target node of the arc.
+      ///
+      /// Returns the target node of the given arc.
+      Node target(Arc) const { return INVALID; }
+
+      /// \brief The ID of the node.
+      ///
+      /// Returns the ID of the given node.
       int id(Node) const { return -1; }
 
-      /// \brief Returns the ID of the arc.
+      /// \brief The ID of the arc.
+      ///
+      /// Returns the ID of the given arc.
       int id(Arc) const { return -1; }
 
-      /// \brief Returns the node with the given ID.
+      /// \brief The node with the given ID.
       ///
-      /// \pre The argument should be a valid node ID in the graph.
+      /// Returns the node with the given ID.
+      /// \pre The argument should be a valid node ID in the digraph.
       Node nodeFromId(int) const { return INVALID; }
 
-      /// \brief Returns the arc with the given ID.
+      /// \brief The arc with the given ID.
       ///
-      /// \pre The argument should be a valid arc ID in the graph.
+      /// Returns the arc with the given ID.
+      /// \pre The argument should be a valid arc ID in the digraph.
       Arc arcFromId(int) const { return INVALID; }
 
-      /// \brief Returns an upper bound on the node IDs.
+      /// \brief An upper bound on the node IDs.
+      ///
+      /// Returns an upper bound on the node IDs.
       int maxNodeId() const { return -1; }
 
-      /// \brief Returns an upper bound on the arc IDs.
+      /// \brief An upper bound on the arc IDs.
+      ///
+      /// Returns an upper bound on the arc IDs.
       int maxArcId() const { return -1; }
 
       void first(Node&) const {}
@@ -392,45 +390,46 @@
       // Dummy parameter.
       int maxId(Arc) const { return -1; }
 
+      /// \brief The opposite node on the arc.
+      ///
+      /// Returns the opposite node on the given arc.
+      Node oppositeNode(Node, Arc) const { return INVALID; }
+
       /// \brief The base node of the iterator.
       ///
-      /// Gives back the base node of the iterator.
-      /// It is always the target of the pointed arc.
-      Node baseNode(const InArcIt&) const { return INVALID; }
+      /// Returns the base node of the given outgoing arc iterator
+      /// (i.e. the source node of the corresponding arc).
+      Node baseNode(OutArcIt) const { return INVALID; }
 
       /// \brief The running node of the iterator.
       ///
-      /// Gives back the running node of the iterator.
-      /// It is always the source of the pointed arc.
-      Node runningNode(const InArcIt&) const { return INVALID; }
+      /// Returns the running node of the given outgoing arc iterator
+      /// (i.e. the target node of the corresponding arc).
+      Node runningNode(OutArcIt) const { return INVALID; }
 
       /// \brief The base node of the iterator.
       ///
-      /// Gives back the base node of the iterator.
-      /// It is always the source of the pointed arc.
-      Node baseNode(const OutArcIt&) const { return INVALID; }
+      /// Returns the base node of the given incomming arc iterator
+      /// (i.e. the target node of the corresponding arc).
+      Node baseNode(InArcIt) const { return INVALID; }
 
       /// \brief The running node of the iterator.
       ///
-      /// Gives back the running node of the iterator.
-      /// It is always the target of the pointed arc.
-      Node runningNode(const OutArcIt&) const { return INVALID; }
+      /// Returns the running node of the given incomming arc iterator
+      /// (i.e. the source node of the corresponding arc).
+      Node runningNode(InArcIt) const { return INVALID; }
 
-      /// \brief The opposite node on the given arc.
+      /// \brief Standard graph map type for the nodes.
       ///
-      /// Gives back the opposite node on the given arc.
-      Node oppositeNode(const Node&, const Arc&) const { return INVALID; }
-
-      /// \brief Reference map of the nodes to type \c T.
-      ///
-      /// Reference map of the nodes to type \c T.
+      /// Standard graph map type for the nodes.
+      /// It conforms to the ReferenceMap concept.
       template<class T>
       class NodeMap : public ReferenceMap<Node, T, T&, const T&> {
       public:
 
-        ///\e
-        NodeMap(const Digraph&) { }
-        ///\e
+        /// Constructor
+        explicit NodeMap(const Digraph&) { }
+        /// Constructor with given initial value
         NodeMap(const Digraph&, T) { }
 
       private:
@@ -445,17 +444,19 @@
         }
       };
 
-      /// \brief Reference map of the arcs to type \c T.
+      /// \brief Standard graph map type for the arcs.
       ///
-      /// Reference map of the arcs to type \c T.
+      /// Standard graph map type for the arcs.
+      /// It conforms to the ReferenceMap concept.
       template<class T>
       class ArcMap : public ReferenceMap<Arc, T, T&, const T&> {
       public:
 
-        ///\e
-        ArcMap(const Digraph&) { }
-        ///\e
+        /// Constructor
+        explicit ArcMap(const Digraph&) { }
+        /// Constructor with given initial value
         ArcMap(const Digraph&, T) { }
+
       private:
         ///Copy constructor
         ArcMap(const ArcMap& em) :
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/concepts/graph.h
--- a/lemon/concepts/graph.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/concepts/graph.h	Thu Dec 10 17:18:25 2009 +0100
@@ -18,12 +18,14 @@
 
 ///\ingroup graph_concepts
 ///\file
-///\brief The concept of Undirected Graphs.
+///\brief The concept of undirected graphs.
 
 #ifndef LEMON_CONCEPTS_GRAPH_H
 #define LEMON_CONCEPTS_GRAPH_H
 
 #include <lemon/concepts/graph_components.h>
+#include <lemon/concepts/maps.h>
+#include <lemon/concept_check.h>
 #include <lemon/core.h>
 
 namespace lemon {
@@ -31,63 +33,74 @@
 
     /// \ingroup graph_concepts
     ///
-    /// \brief Class describing the concept of Undirected Graphs.
+    /// \brief Class describing the concept of undirected graphs.
     ///
-    /// This class describes the common interface of all Undirected
-    /// Graphs.
+    /// This class describes the common interface of all undirected
+    /// graphs.
     ///
-    /// As all concept describing classes it provides only interface
-    /// without any sensible implementation. So any algorithm for
-    /// undirected graph should compile with this class, but it will not
+    /// Like all concept classes, it only provides an interface
+    /// without any sensible implementation. So any general algorithm for
+    /// undirected graphs should compile with this class, but it will not
     /// run properly, of course.
+    /// An actual graph implementation like \ref ListGraph or
+    /// \ref SmartGraph may have additional functionality.    
     ///
-    /// The LEMON undirected graphs also fulfill the concept of
-    /// directed graphs (\ref lemon::concepts::Digraph "Digraph
-    /// Concept"). Each edges can be seen as two opposite
-    /// directed arc and consequently the undirected graph can be
-    /// seen as the direceted graph of these directed arcs. The
-    /// Graph has the Edge inner class for the edges and
-    /// the Arc type for the directed arcs. The Arc type is
-    /// convertible to Edge or inherited from it so from a directed
-    /// arc we can get the represented edge.
+    /// The undirected graphs also fulfill the concept of \ref Digraph
+    /// "directed graphs", since each edge can also be regarded as two
+    /// oppositely directed arcs.
+    /// Undirected graphs provide an Edge type for the undirected edges and
+    /// an Arc type for the directed arcs. The Arc type is convertible to
+    /// Edge or inherited from it, i.e. the corresponding edge can be
+    /// obtained from an arc.
+    /// EdgeIt and EdgeMap classes can be used for the edges, while ArcIt
+    /// and ArcMap classes can be used for the arcs (just like in digraphs).
+    /// Both InArcIt and OutArcIt iterates on the same edges but with
+    /// opposite direction. IncEdgeIt also iterates on the same edges
+    /// as OutArcIt and InArcIt, but it is not convertible to Arc,
+    /// only to Edge.
     ///
-    /// In the sense of the LEMON each edge has a default
-    /// direction (it should be in every computer implementation,
-    /// because the order of edge's nodes defines an
-    /// orientation). With the default orientation we can define that
-    /// the directed arc is forward or backward directed. With the \c
-    /// direction() and \c direct() function we can get the direction
-    /// of the directed arc and we can direct an edge.
+    /// In LEMON, each undirected edge has an inherent orientation.
+    /// Thus it can defined if an arc is forward or backward oriented in
+    /// an undirected graph with respect to this default oriantation of
+    /// the represented edge.
+    /// With the direction() and direct() functions the direction
+    /// of an arc can be obtained and set, respectively.
     ///
-    /// The EdgeIt is an iterator for the edges. We can use
-    /// the EdgeMap to map values for the edges. The InArcIt and
-    /// OutArcIt iterates on the same edges but with opposite
-    /// direction. The IncEdgeIt iterates also on the same edges
-    /// as the OutArcIt and InArcIt but it is not convertible to Arc just
-    /// to Edge.
+    /// Only nodes and edges can be added to or removed from an undirected
+    /// graph and the corresponding arcs are added or removed automatically.
+    ///
+    /// \sa Digraph
     class Graph {
+    private:
+      /// Graphs are \e not copy constructible. Use DigraphCopy instead.
+      Graph(const Graph&) {}
+      /// \brief Assignment of a graph to another one is \e not allowed.
+      /// Use DigraphCopy instead.
+      void operator=(const Graph&) {}
+
     public:
-      /// \brief The undirected graph should be tagged by the
-      /// UndirectedTag.
+      /// Default constructor.
+      Graph() {}
+
+      /// \brief Undirected graphs should be tagged with \c UndirectedTag.
       ///
-      /// The undirected graph should be tagged by the UndirectedTag. This
-      /// tag helps the enable_if technics to make compile time
+      /// Undirected graphs should be tagged with \c UndirectedTag.
+      /// 
+      /// This tag helps the \c enable_if technics to make compile time
       /// specializations for undirected graphs.
       typedef True UndirectedTag;
 
-      /// \brief The base type of node iterators,
-      /// or in other words, the trivial node iterator.
-      ///
-      /// This is the base type of each node iterator,
-      /// thus each kind of node iterator converts to this.
-      /// More precisely each kind of node iterator should be inherited
-      /// from the trivial node iterator.
+      /// The node type of the graph
+
+      /// This class identifies a node of the graph. It also serves
+      /// as a base class of the node iterators,
+      /// thus they convert to this type.
       class Node {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the object to an undefined value.
         Node() { }
         /// Copy constructor.
 
@@ -95,40 +108,40 @@
         ///
         Node(const Node&) { }
 
-        /// Invalid constructor \& conversion.
+        /// %Invalid constructor \& conversion.
 
-        /// This constructor initializes the iterator to be invalid.
+        /// Initializes the object to be invalid.
         /// \sa Invalid for more details.
         Node(Invalid) { }
         /// Equality operator
 
+        /// Equality operator.
+        ///
         /// Two iterators are equal if and only if they point to the
-        /// same object or both are invalid.
+        /// same object or both are \c INVALID.
         bool operator==(Node) const { return true; }
 
         /// Inequality operator
 
-        /// \sa operator==(Node n)
-        ///
+        /// Inequality operator.
         bool operator!=(Node) const { return true; }
 
         /// Artificial ordering operator.
 
-        /// To allow the use of graph descriptors as key type in std::map or
-        /// similar associative container we require this.
+        /// Artificial ordering operator.
         ///
-        /// \note This operator only have to define some strict ordering of
+        /// \note This operator only has to define some strict ordering of
         /// the items; this order has nothing to do with the iteration
         /// ordering of the items.
         bool operator<(Node) const { return false; }
 
       };
 
-      /// This iterator goes through each node.
+      /// Iterator class for the nodes.
 
-      /// This iterator goes through each node.
-      /// Its usage is quite simple, for example you can count the number
-      /// of nodes in graph \c g of type \c Graph like this:
+      /// This iterator goes through each node of the graph.
+      /// Its usage is quite simple, for example, you can count the number
+      /// of nodes in a graph \c g of type \c %Graph like this:
       ///\code
       /// int count=0;
       /// for (Graph::NodeIt n(g); n!=INVALID; ++n) ++count;
@@ -137,30 +150,28 @@
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the iterator to an undefined value.
         NodeIt() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         NodeIt(const NodeIt& n) : Node(n) { }
-        /// Invalid constructor \& conversion.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
+        /// Initializes the iterator to be invalid.
         /// \sa Invalid for more details.
         NodeIt(Invalid) { }
         /// Sets the iterator to the first node.
 
-        /// Sets the iterator to the first node of \c g.
+        /// Sets the iterator to the first node of the given digraph.
         ///
-        NodeIt(const Graph&) { }
-        /// Node -> NodeIt conversion.
+        explicit NodeIt(const Graph&) { }
+        /// Sets the iterator to the given node.
 
-        /// Sets the iterator to the node of \c the graph pointed by
-        /// the trivial iterator.
-        /// This feature necessitates that each time we
-        /// iterate the arc-set, the iteration order is the same.
+        /// Sets the iterator to the given node of the given digraph.
+        ///
         NodeIt(const Graph&, const Node&) { }
         /// Next node.
 
@@ -170,54 +181,55 @@
       };
 
 
-      /// The base type of the edge iterators.
+      /// The edge type of the graph
 
-      /// The base type of the edge iterators.
-      ///
+      /// This class identifies an edge of the graph. It also serves
+      /// as a base class of the edge iterators,
+      /// thus they will convert to this type.
       class Edge {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the object to an undefined value.
         Edge() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         Edge(const Edge&) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
-        ///
+        /// Initializes the object to be invalid.
+        /// \sa Invalid for more details.
         Edge(Invalid) { }
         /// Equality operator
 
+        /// Equality operator.
+        ///
         /// Two iterators are equal if and only if they point to the
-        /// same object or both are invalid.
+        /// same object or both are \c INVALID.
         bool operator==(Edge) const { return true; }
         /// Inequality operator
 
-        /// \sa operator==(Edge n)
-        ///
+        /// Inequality operator.
         bool operator!=(Edge) const { return true; }
 
         /// Artificial ordering operator.
 
-        /// To allow the use of graph descriptors as key type in std::map or
-        /// similar associative container we require this.
+        /// Artificial ordering operator.
         ///
-        /// \note This operator only have to define some strict ordering of
-        /// the items; this order has nothing to do with the iteration
-        /// ordering of the items.
+        /// \note This operator only has to define some strict ordering of
+        /// the edges; this order has nothing to do with the iteration
+        /// ordering of the edges.
         bool operator<(Edge) const { return false; }
       };
 
-      /// This iterator goes through each edge.
+      /// Iterator class for the edges.
 
-      /// This iterator goes through each edge of a graph.
-      /// Its usage is quite simple, for example you can count the number
-      /// of edges in a graph \c g of type \c Graph as follows:
+      /// This iterator goes through each edge of the graph.
+      /// Its usage is quite simple, for example, you can count the number
+      /// of edges in a graph \c g of type \c %Graph as follows:
       ///\code
       /// int count=0;
       /// for(Graph::EdgeIt e(g); e!=INVALID; ++e) ++count;
@@ -226,290 +238,285 @@
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the iterator to an undefined value.
         EdgeIt() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         EdgeIt(const EdgeIt& e) : Edge(e) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
+        /// Initializes the iterator to be invalid.
+        /// \sa Invalid for more details.
+        EdgeIt(Invalid) { }
+        /// Sets the iterator to the first edge.
+
+        /// Sets the iterator to the first edge of the given graph.
         ///
-        EdgeIt(Invalid) { }
-        /// This constructor sets the iterator to the first edge.
+        explicit EdgeIt(const Graph&) { }
+        /// Sets the iterator to the given edge.
 
-        /// This constructor sets the iterator to the first edge.
-        EdgeIt(const Graph&) { }
-        /// Edge -> EdgeIt conversion
-
-        /// Sets the iterator to the value of the trivial iterator.
-        /// This feature necessitates that each time we
-        /// iterate the edge-set, the iteration order is the
-        /// same.
+        /// Sets the iterator to the given edge of the given graph.
+        ///
         EdgeIt(const Graph&, const Edge&) { }
         /// Next edge
 
         /// Assign the iterator to the next edge.
+        ///
         EdgeIt& operator++() { return *this; }
       };
 
-      /// \brief This iterator goes trough the incident undirected
-      /// arcs of a node.
-      ///
-      /// This iterator goes trough the incident edges
-      /// of a certain node of a graph. You should assume that the
-      /// loop arcs will be iterated twice.
-      ///
-      /// Its usage is quite simple, for example you can compute the
-      /// degree (i.e. count the number of incident arcs of a node \c n
-      /// in graph \c g of type \c Graph as follows.
+      /// Iterator class for the incident edges of a node.
+
+      /// This iterator goes trough the incident undirected edges
+      /// of a certain node of a graph.
+      /// Its usage is quite simple, for example, you can compute the
+      /// degree (i.e. the number of incident edges) of a node \c n
+      /// in a graph \c g of type \c %Graph as follows.
       ///
       ///\code
       /// int count=0;
       /// for(Graph::IncEdgeIt e(g, n); e!=INVALID; ++e) ++count;
       ///\endcode
+      ///
+      /// \warning Loop edges will be iterated twice.
       class IncEdgeIt : public Edge {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the iterator to an undefined value.
         IncEdgeIt() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         IncEdgeIt(const IncEdgeIt& e) : Edge(e) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
+        /// Initializes the iterator to be invalid.
+        /// \sa Invalid for more details.
+        IncEdgeIt(Invalid) { }
+        /// Sets the iterator to the first incident edge.
+
+        /// Sets the iterator to the first incident edge of the given node.
         ///
-        IncEdgeIt(Invalid) { }
-        /// This constructor sets the iterator to first incident arc.
+        IncEdgeIt(const Graph&, const Node&) { }
+        /// Sets the iterator to the given edge.
 
-        /// This constructor set the iterator to the first incident arc of
-        /// the node.
-        IncEdgeIt(const Graph&, const Node&) { }
-        /// Edge -> IncEdgeIt conversion
+        /// Sets the iterator to the given edge of the given graph.
+        ///
+        IncEdgeIt(const Graph&, const Edge&) { }
+        /// Next incident edge
 
-        /// Sets the iterator to the value of the trivial iterator \c e.
-        /// This feature necessitates that each time we
-        /// iterate the arc-set, the iteration order is the same.
-        IncEdgeIt(const Graph&, const Edge&) { }
-        /// Next incident arc
-
-        /// Assign the iterator to the next incident arc
+        /// Assign the iterator to the next incident edge
         /// of the corresponding node.
         IncEdgeIt& operator++() { return *this; }
       };
 
-      /// The directed arc type.
+      /// The arc type of the graph
 
-      /// The directed arc type. It can be converted to the
-      /// edge or it should be inherited from the undirected
-      /// edge.
+      /// This class identifies a directed arc of the graph. It also serves
+      /// as a base class of the arc iterators,
+      /// thus they will convert to this type.
       class Arc {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the object to an undefined value.
         Arc() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         Arc(const Arc&) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
-        ///
+        /// Initializes the object to be invalid.
+        /// \sa Invalid for more details.
         Arc(Invalid) { }
         /// Equality operator
 
+        /// Equality operator.
+        ///
         /// Two iterators are equal if and only if they point to the
-        /// same object or both are invalid.
+        /// same object or both are \c INVALID.
         bool operator==(Arc) const { return true; }
         /// Inequality operator
 
-        /// \sa operator==(Arc n)
-        ///
+        /// Inequality operator.
         bool operator!=(Arc) const { return true; }
 
         /// Artificial ordering operator.
 
-        /// To allow the use of graph descriptors as key type in std::map or
-        /// similar associative container we require this.
+        /// Artificial ordering operator.
         ///
-        /// \note This operator only have to define some strict ordering of
-        /// the items; this order has nothing to do with the iteration
-        /// ordering of the items.
+        /// \note This operator only has to define some strict ordering of
+        /// the arcs; this order has nothing to do with the iteration
+        /// ordering of the arcs.
         bool operator<(Arc) const { return false; }
 
-        /// Converison to Edge
+        /// Converison to \c Edge
+        
+        /// Converison to \c Edge.
+        ///
         operator Edge() const { return Edge(); }
       };
-      /// This iterator goes through each directed arc.
 
-      /// This iterator goes through each arc of a graph.
-      /// Its usage is quite simple, for example you can count the number
-      /// of arcs in a graph \c g of type \c Graph as follows:
+      /// Iterator class for the arcs.
+
+      /// This iterator goes through each directed arc of the graph.
+      /// Its usage is quite simple, for example, you can count the number
+      /// of arcs in a graph \c g of type \c %Graph as follows:
       ///\code
       /// int count=0;
-      /// for(Graph::ArcIt e(g); e!=INVALID; ++e) ++count;
+      /// for(Graph::ArcIt a(g); a!=INVALID; ++a) ++count;
       ///\endcode
       class ArcIt : public Arc {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the iterator to an undefined value.
         ArcIt() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         ArcIt(const ArcIt& e) : Arc(e) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
+        /// Initializes the iterator to be invalid.
+        /// \sa Invalid for more details.
+        ArcIt(Invalid) { }
+        /// Sets the iterator to the first arc.
+
+        /// Sets the iterator to the first arc of the given graph.
         ///
-        ArcIt(Invalid) { }
-        /// This constructor sets the iterator to the first arc.
+        explicit ArcIt(const Graph &g) { ignore_unused_variable_warning(g); }
+        /// Sets the iterator to the given arc.
 
-        /// This constructor sets the iterator to the first arc of \c g.
-        ///@param g the graph
-        ArcIt(const Graph &g) { ignore_unused_variable_warning(g); }
-        /// Arc -> ArcIt conversion
-
-        /// Sets the iterator to the value of the trivial iterator \c e.
-        /// This feature necessitates that each time we
-        /// iterate the arc-set, the iteration order is the same.
+        /// Sets the iterator to the given arc of the given graph.
+        ///
         ArcIt(const Graph&, const Arc&) { }
-        ///Next arc
+        /// Next arc
 
         /// Assign the iterator to the next arc.
+        ///
         ArcIt& operator++() { return *this; }
       };
 
-      /// This iterator goes trough the outgoing directed arcs of a node.
+      /// Iterator class for the outgoing arcs of a node.
 
-      /// This iterator goes trough the \e outgoing arcs of a certain node
-      /// of a graph.
-      /// Its usage is quite simple, for example you can count the number
+      /// This iterator goes trough the \e outgoing directed arcs of a
+      /// certain node of a graph.
+      /// Its usage is quite simple, for example, you can count the number
       /// of outgoing arcs of a node \c n
-      /// in graph \c g of type \c Graph as follows.
+      /// in a graph \c g of type \c %Graph as follows.
       ///\code
       /// int count=0;
-      /// for (Graph::OutArcIt e(g, n); e!=INVALID; ++e) ++count;
+      /// for (Digraph::OutArcIt a(g, n); a!=INVALID; ++a) ++count;
       ///\endcode
-
       class OutArcIt : public Arc {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the iterator to an undefined value.
         OutArcIt() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         OutArcIt(const OutArcIt& e) : Arc(e) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
+        /// Initializes the iterator to be invalid.
+        /// \sa Invalid for more details.
+        OutArcIt(Invalid) { }
+        /// Sets the iterator to the first outgoing arc.
+
+        /// Sets the iterator to the first outgoing arc of the given node.
         ///
-        OutArcIt(Invalid) { }
-        /// This constructor sets the iterator to the first outgoing arc.
-
-        /// This constructor sets the iterator to the first outgoing arc of
-        /// the node.
-        ///@param n the node
-        ///@param g the graph
         OutArcIt(const Graph& n, const Node& g) {
           ignore_unused_variable_warning(n);
           ignore_unused_variable_warning(g);
         }
-        /// Arc -> OutArcIt conversion
+        /// Sets the iterator to the given arc.
 
-        /// Sets the iterator to the value of the trivial iterator.
-        /// This feature necessitates that each time we
-        /// iterate the arc-set, the iteration order is the same.
+        /// Sets the iterator to the given arc of the given graph.
+        ///
         OutArcIt(const Graph&, const Arc&) { }
-        ///Next outgoing arc
+        /// Next outgoing arc
 
         /// Assign the iterator to the next
         /// outgoing arc of the corresponding node.
         OutArcIt& operator++() { return *this; }
       };
 
-      /// This iterator goes trough the incoming directed arcs of a node.
+      /// Iterator class for the incoming arcs of a node.
 
-      /// This iterator goes trough the \e incoming arcs of a certain node
-      /// of a graph.
-      /// Its usage is quite simple, for example you can count the number
-      /// of outgoing arcs of a node \c n
-      /// in graph \c g of type \c Graph as follows.
+      /// This iterator goes trough the \e incoming directed arcs of a
+      /// certain node of a graph.
+      /// Its usage is quite simple, for example, you can count the number
+      /// of incoming arcs of a node \c n
+      /// in a graph \c g of type \c %Graph as follows.
       ///\code
       /// int count=0;
-      /// for(Graph::InArcIt e(g, n); e!=INVALID; ++e) ++count;
+      /// for (Digraph::InArcIt a(g, n); a!=INVALID; ++a) ++count;
       ///\endcode
-
       class InArcIt : public Arc {
       public:
         /// Default constructor
 
-        /// @warning The default constructor sets the iterator
-        /// to an undefined value.
+        /// Default constructor.
+        /// \warning It sets the iterator to an undefined value.
         InArcIt() { }
         /// Copy constructor.
 
         /// Copy constructor.
         ///
         InArcIt(const InArcIt& e) : Arc(e) { }
-        /// Initialize the iterator to be invalid.
+        /// %Invalid constructor \& conversion.
 
-        /// Initialize the iterator to be invalid.
+        /// Initializes the iterator to be invalid.
+        /// \sa Invalid for more details.
+        InArcIt(Invalid) { }
+        /// Sets the iterator to the first incoming arc.
+
+        /// Sets the iterator to the first incoming arc of the given node.
         ///
-        InArcIt(Invalid) { }
-        /// This constructor sets the iterator to first incoming arc.
-
-        /// This constructor set the iterator to the first incoming arc of
-        /// the node.
-        ///@param n the node
-        ///@param g the graph
         InArcIt(const Graph& g, const Node& n) {
           ignore_unused_variable_warning(n);
           ignore_unused_variable_warning(g);
         }
-        /// Arc -> InArcIt conversion
+        /// Sets the iterator to the given arc.
 
-        /// Sets the iterator to the value of the trivial iterator \c e.
-        /// This feature necessitates that each time we
-        /// iterate the arc-set, the iteration order is the same.
+        /// Sets the iterator to the given arc of the given graph.
+        ///
         InArcIt(const Graph&, const Arc&) { }
         /// Next incoming arc
 
-        /// Assign the iterator to the next inarc of the corresponding node.
-        ///
+        /// Assign the iterator to the next
+        /// incoming arc of the corresponding node.
         InArcIt& operator++() { return *this; }
       };
 
-      /// \brief Reference map of the nodes to type \c T.
+      /// \brief Standard graph map type for the nodes.
       ///
-      /// Reference map of the nodes to type \c T.
+      /// Standard graph map type for the nodes.
+      /// It conforms to the ReferenceMap concept.
       template<class T>
       class NodeMap : public ReferenceMap<Node, T, T&, const T&>
       {
       public:
 
-        ///\e
-        NodeMap(const Graph&) { }
-        ///\e
+        /// Constructor
+        explicit NodeMap(const Graph&) { }
+        /// Constructor with given initial value
         NodeMap(const Graph&, T) { }
 
       private:
@@ -524,18 +531,20 @@
         }
       };
 
-      /// \brief Reference map of the arcs to type \c T.
+      /// \brief Standard graph map type for the arcs.
       ///
-      /// Reference map of the arcs to type \c T.
+      /// Standard graph map type for the arcs.
+      /// It conforms to the ReferenceMap concept.
       template<class T>
       class ArcMap : public ReferenceMap<Arc, T, T&, const T&>
       {
       public:
 
-        ///\e
-        ArcMap(const Graph&) { }
-        ///\e
+        /// Constructor
+        explicit ArcMap(const Graph&) { }
+        /// Constructor with given initial value
         ArcMap(const Graph&, T) { }
+
       private:
         ///Copy constructor
         ArcMap(const ArcMap& em) :
@@ -548,18 +557,20 @@
         }
       };
 
-      /// Reference map of the edges to type \c T.
-
-      /// Reference map of the edges to type \c T.
+      /// \brief Standard graph map type for the edges.
+      ///
+      /// Standard graph map type for the edges.
+      /// It conforms to the ReferenceMap concept.
       template<class T>
       class EdgeMap : public ReferenceMap<Edge, T, T&, const T&>
       {
       public:
 
-        ///\e
-        EdgeMap(const Graph&) { }
-        ///\e
+        /// Constructor
+        explicit EdgeMap(const Graph&) { }
+        /// Constructor with given initial value
         EdgeMap(const Graph&, T) { }
+
       private:
         ///Copy constructor
         EdgeMap(const EdgeMap& em) :
@@ -572,107 +583,124 @@
         }
       };
 
-      /// \brief Direct the given edge.
+      /// \brief The first node of the edge.
       ///
-      /// Direct the given edge. The returned arc source
-      /// will be the given node.
-      Arc direct(const Edge&, const Node&) const {
-        return INVALID;
-      }
-
-      /// \brief Direct the given edge.
+      /// Returns the first node of the given edge.
       ///
-      /// Direct the given edge. The returned arc
-      /// represents the given edge and the direction comes
-      /// from the bool parameter. The source of the edge and
-      /// the directed arc is the same when the given bool is true.
-      Arc direct(const Edge&, bool) const {
-        return INVALID;
-      }
-
-      /// \brief Returns true if the arc has default orientation.
-      ///
-      /// Returns whether the given directed arc is same orientation as
-      /// the corresponding edge's default orientation.
-      bool direction(Arc) const { return true; }
-
-      /// \brief Returns the opposite directed arc.
-      ///
-      /// Returns the opposite directed arc.
-      Arc oppositeArc(Arc) const { return INVALID; }
-
-      /// \brief Opposite node on an arc
-      ///
-      /// \return The opposite of the given node on the given edge.
-      Node oppositeNode(Node, Edge) const { return INVALID; }
-
-      /// \brief First node of the edge.
-      ///
-      /// \return The first node of the given edge.
-      ///
-      /// Naturally edges don't have direction and thus
-      /// don't have source and target node. However we use \c u() and \c v()
-      /// methods to query the two nodes of the arc. The direction of the
-      /// arc which arises this way is called the inherent direction of the
-      /// edge, and is used to define the "default" direction
-      /// of the directed versions of the arcs.
+      /// Edges don't have source and target nodes, however, methods
+      /// u() and v() are used to query the two end-nodes of an edge.
+      /// The orientation of an edge that arises this way is called
+      /// the inherent direction, it is used to define the default
+      /// direction for the corresponding arcs.
       /// \sa v()
       /// \sa direction()
       Node u(Edge) const { return INVALID; }
 
-      /// \brief Second node of the edge.
+      /// \brief The second node of the edge.
       ///
-      /// \return The second node of the given edge.
+      /// Returns the second node of the given edge.
       ///
-      /// Naturally edges don't have direction and thus
-      /// don't have source and target node. However we use \c u() and \c v()
-      /// methods to query the two nodes of the arc. The direction of the
-      /// arc which arises this way is called the inherent direction of the
-      /// edge, and is used to define the "default" direction
-      /// of the directed versions of the arcs.
+      /// Edges don't have source and target nodes, however, methods
+      /// u() and v() are used to query the two end-nodes of an edge.
+      /// The orientation of an edge that arises this way is called
+      /// the inherent direction, it is used to define the default
+      /// direction for the corresponding arcs.
       /// \sa u()
       /// \sa direction()
       Node v(Edge) const { return INVALID; }
 
-      /// \brief Source node of the directed arc.
+      /// \brief The source node of the arc.
+      ///
+      /// Returns the source node of the given arc.
       Node source(Arc) const { return INVALID; }
 
-      /// \brief Target node of the directed arc.
+      /// \brief The target node of the arc.
+      ///
+      /// Returns the target node of the given arc.
       Node target(Arc) const { return INVALID; }
 
-      /// \brief Returns the id of the node.
+      /// \brief The ID of the node.
+      ///
+      /// Returns the ID of the given node.
       int id(Node) const { return -1; }
 
-      /// \brief Returns the id of the edge.
+      /// \brief The ID of the edge.
+      ///
+      /// Returns the ID of the given edge.
       int id(Edge) const { return -1; }
 
-      /// \brief Returns the id of the arc.
+      /// \brief The ID of the arc.
+      ///
+      /// Returns the ID of the given arc.
       int id(Arc) const { return -1; }
 
-      /// \brief Returns the node with the given id.
+      /// \brief The node with the given ID.
       ///
-      /// \pre The argument should be a valid node id in the graph.
+      /// Returns the node with the given ID.
+      /// \pre The argument should be a valid node ID in the graph.
       Node nodeFromId(int) const { return INVALID; }
 
-      /// \brief Returns the edge with the given id.
+      /// \brief The edge with the given ID.
       ///
-      /// \pre The argument should be a valid edge id in the graph.
+      /// Returns the edge with the given ID.
+      /// \pre The argument should be a valid edge ID in the graph.
       Edge edgeFromId(int) const { return INVALID; }
 
-      /// \brief Returns the arc with the given id.
+      /// \brief The arc with the given ID.
       ///
-      /// \pre The argument should be a valid arc id in the graph.
+      /// Returns the arc with the given ID.
+      /// \pre The argument should be a valid arc ID in the graph.
       Arc arcFromId(int) const { return INVALID; }
 
-      /// \brief Returns an upper bound on the node IDs.
+      /// \brief An upper bound on the node IDs.
+      ///
+      /// Returns an upper bound on the node IDs.
       int maxNodeId() const { return -1; }
 
-      /// \brief Returns an upper bound on the edge IDs.
+      /// \brief An upper bound on the edge IDs.
+      ///
+      /// Returns an upper bound on the edge IDs.
       int maxEdgeId() const { return -1; }
 
-      /// \brief Returns an upper bound on the arc IDs.
+      /// \brief An upper bound on the arc IDs.
+      ///
+      /// Returns an upper bound on the arc IDs.
       int maxArcId() const { return -1; }
 
+      /// \brief The direction of the arc.
+      ///
+      /// Returns \c true if the direction of the given arc is the same as
+      /// the inherent orientation of the represented edge.
+      bool direction(Arc) const { return true; }
+
+      /// \brief Direct the edge.
+      ///
+      /// Direct the given edge. The returned arc
+      /// represents the given edge and its direction comes
+      /// from the bool parameter. If it is \c true, then the direction
+      /// of the arc is the same as the inherent orientation of the edge.
+      Arc direct(Edge, bool) const {
+        return INVALID;
+      }
+
+      /// \brief Direct the edge.
+      ///
+      /// Direct the given edge. The returned arc represents the given
+      /// edge and its source node is the given node.
+      Arc direct(Edge, Node) const {
+        return INVALID;
+      }
+
+      /// \brief The oppositely directed arc.
+      ///
+      /// Returns the oppositely directed arc representing the same edge.
+      Arc oppositeArc(Arc) const { return INVALID; }
+
+      /// \brief The opposite node on the edge.
+      ///
+      /// Returns the opposite node on the given edge.
+      Node oppositeNode(Node, Edge) const { return INVALID; }
+
       void first(Node&) const {}
       void next(Node&) const {}
 
@@ -705,47 +733,39 @@
       // Dummy parameter.
       int maxId(Arc) const { return -1; }
 
-      /// \brief Base node of the iterator
+      /// \brief The base node of the iterator.
       ///
-      /// Returns the base node (the source in this case) of the iterator
-      Node baseNode(OutArcIt e) const {
-        return source(e);
-      }
-      /// \brief Running node of the iterator
+      /// Returns the base node of the given incident edge iterator.
+      Node baseNode(IncEdgeIt) const { return INVALID; }
+
+      /// \brief The running node of the iterator.
       ///
-      /// Returns the running node (the target in this case) of the
-      /// iterator
-      Node runningNode(OutArcIt e) const {
-        return target(e);
-      }
+      /// Returns the running node of the given incident edge iterator.
+      Node runningNode(IncEdgeIt) const { return INVALID; }
 
-      /// \brief Base node of the iterator
+      /// \brief The base node of the iterator.
       ///
-      /// Returns the base node (the target in this case) of the iterator
-      Node baseNode(InArcIt e) const {
-        return target(e);
-      }
-      /// \brief Running node of the iterator
+      /// Returns the base node of the given outgoing arc iterator
+      /// (i.e. the source node of the corresponding arc).
+      Node baseNode(OutArcIt) const { return INVALID; }
+
+      /// \brief The running node of the iterator.
       ///
-      /// Returns the running node (the source in this case) of the
-      /// iterator
-      Node runningNode(InArcIt e) const {
-        return source(e);
-      }
+      /// Returns the running node of the given outgoing arc iterator
+      /// (i.e. the target node of the corresponding arc).
+      Node runningNode(OutArcIt) const { return INVALID; }
 
-      /// \brief Base node of the iterator
+      /// \brief The base node of the iterator.
       ///
-      /// Returns the base node of the iterator
-      Node baseNode(IncEdgeIt) const {
-        return INVALID;
-      }
+      /// Returns the base node of the given incomming arc iterator
+      /// (i.e. the target node of the corresponding arc).
+      Node baseNode(InArcIt) const { return INVALID; }
 
-      /// \brief Running node of the iterator
+      /// \brief The running node of the iterator.
       ///
-      /// Returns the running node of the iterator
-      Node runningNode(IncEdgeIt) const {
-        return INVALID;
-      }
+      /// Returns the running node of the given incomming arc iterator
+      /// (i.e. the source node of the corresponding arc).
+      Node runningNode(InArcIt) const { return INVALID; }
 
       template <typename _Graph>
       struct Constraints {
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/concepts/graph_components.h
--- a/lemon/concepts/graph_components.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/concepts/graph_components.h	Thu Dec 10 17:18:25 2009 +0100
@@ -18,7 +18,7 @@
 
 ///\ingroup graph_concepts
 ///\file
-///\brief The concept of graph components.
+///\brief The concepts of graph components.
 
 #ifndef LEMON_CONCEPTS_GRAPH_COMPONENTS_H
 #define LEMON_CONCEPTS_GRAPH_COMPONENTS_H
@@ -92,7 +92,7 @@
       /// It makes possible to use graph item types as key types in 
       /// associative containers (e.g. \c std::map).
       ///
-      /// \note This operator only have to define some strict ordering of
+      /// \note This operator only has to define some strict ordering of
       /// the items; this order has nothing to do with the iteration
       /// ordering of the items.
       bool operator<(const GraphItem&) const { return false; }
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/concepts/heap.h
--- a/lemon/concepts/heap.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/concepts/heap.h	Thu Dec 10 17:18:25 2009 +0100
@@ -16,13 +16,13 @@
  *
  */
 
+#ifndef LEMON_CONCEPTS_HEAP_H
+#define LEMON_CONCEPTS_HEAP_H
+
 ///\ingroup concept
 ///\file
 ///\brief The concept of heaps.
 
-#ifndef LEMON_CONCEPTS_HEAP_H
-#define LEMON_CONCEPTS_HEAP_H
-
 #include <lemon/core.h>
 #include <lemon/concept_check.h>
 
@@ -35,21 +35,27 @@
 
     /// \brief The heap concept.
     ///
-    /// Concept class describing the main interface of heaps. A \e heap
-    /// is a data structure for storing items with specified values called
-    /// \e priorities in such a way that finding the item with minimum
-    /// priority is efficient. In a heap one can change the priority of an
-    /// item, add or erase an item, etc.
+    /// This concept class describes the main interface of heaps.
+    /// The various \ref heaps "heap structures" are efficient
+    /// implementations of the abstract data type \e priority \e queue.
+    /// They store items with specified values called \e priorities
+    /// in such a way that finding and removing the item with minimum
+    /// priority are efficient. The basic operations are adding and
+    /// erasing items, changing the priority of an item, etc.
     ///
-    /// \tparam PR Type of the priority of the items.
-    /// \tparam IM A read and writable item map with int values, used
+    /// Heaps are crucial in several algorithms, such as Dijkstra and Prim.
+    /// Any class that conforms to this concept can be used easily in such
+    /// algorithms.
+    ///
+    /// \tparam PR Type of the priorities of the items.
+    /// \tparam IM A read-writable item map with \c int values, used
     /// internally to handle the cross references.
-    /// \tparam Comp A functor class for the ordering of the priorities.
+    /// \tparam CMP A functor class for comparing the priorities.
     /// The default is \c std::less<PR>.
 #ifdef DOXYGEN
-    template <typename PR, typename IM, typename Comp = std::less<PR> >
+    template <typename PR, typename IM, typename CMP>
 #else
-    template <typename PR, typename IM>
+    template <typename PR, typename IM, typename CMP = std::less<PR> >
 #endif
     class Heap {
     public:
@@ -64,109 +70,125 @@
       /// \brief Type to represent the states of the items.
       ///
       /// Each item has a state associated to it. It can be "in heap",
-      /// "pre heap" or "post heap". The later two are indifferent
-      /// from the point of view of the heap, but may be useful for
-      /// the user.
+      /// "pre-heap" or "post-heap". The latter two are indifferent from the
+      /// heap's point of view, but may be useful to the user.
       ///
       /// The item-int map must be initialized in such way that it assigns
       /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
       enum State {
         IN_HEAP = 0,    ///< = 0. The "in heap" state constant.
-        PRE_HEAP = -1,  ///< = -1. The "pre heap" state constant.
-        POST_HEAP = -2  ///< = -2. The "post heap" state constant.
+        PRE_HEAP = -1,  ///< = -1. The "pre-heap" state constant.
+        POST_HEAP = -2  ///< = -2. The "post-heap" state constant.
       };
 
-      /// \brief The constructor.
+      /// \brief Constructor.
       ///
-      /// The constructor.
+      /// Constructor.
       /// \param map A map that assigns \c int values to keys of type
       /// \c Item. It is used internally by the heap implementations to
       /// handle the cross references. The assigned value must be
-      /// \c PRE_HEAP (<tt>-1</tt>) for every item.
+      /// \c PRE_HEAP (<tt>-1</tt>) for each item.
       explicit Heap(ItemIntMap &map) {}
 
+      /// \brief Constructor.
+      ///
+      /// Constructor.
+      /// \param map A map that assigns \c int values to keys of type
+      /// \c Item. It is used internally by the heap implementations to
+      /// handle the cross references. The assigned value must be
+      /// \c PRE_HEAP (<tt>-1</tt>) for each item.
+      /// \param comp The function object used for comparing the priorities.
+      explicit Heap(ItemIntMap &map, const CMP &comp) {}
+
       /// \brief The number of items stored in the heap.
       ///
-      /// Returns the number of items stored in the heap.
+      /// This function returns the number of items stored in the heap.
       int size() const { return 0; }
 
-      /// \brief Checks if the heap is empty.
+      /// \brief Check if the heap is empty.
       ///
-      /// Returns \c true if the heap is empty.
+      /// This function returns \c true if the heap is empty.
       bool empty() const { return false; }
 
-      /// \brief Makes the heap empty.
+      /// \brief Make the heap empty.
       ///
-      /// Makes the heap empty.
-      void clear();
+      /// This functon makes the heap empty.
+      /// It does not change the cross reference map. If you want to reuse
+      /// a heap that is not surely empty, you should first clear it and
+      /// then you should set the cross reference map to \c PRE_HEAP
+      /// for each item.
+      void clear() {}
 
-      /// \brief Inserts an item into the heap with the given priority.
+      /// \brief Insert an item into the heap with the given priority.
       ///
-      /// Inserts the given item into the heap with the given priority.
+      /// This function inserts the given item into the heap with the
+      /// given priority.
       /// \param i The item to insert.
       /// \param p The priority of the item.
+      /// \pre \e i must not be stored in the heap.
       void push(const Item &i, const Prio &p) {}
 
-      /// \brief Returns the item having minimum priority.
+      /// \brief Return the item having minimum priority.
       ///
-      /// Returns the item having minimum priority.
+      /// This function returns the item having minimum priority.
       /// \pre The heap must be non-empty.
       Item top() const {}
 
       /// \brief The minimum priority.
       ///
-      /// Returns the minimum priority.
+      /// This function returns the minimum priority.
       /// \pre The heap must be non-empty.
       Prio prio() const {}
 
-      /// \brief Removes the item having minimum priority.
+      /// \brief Remove the item having minimum priority.
       ///
-      /// Removes the item having minimum priority.
+      /// This function removes the item having minimum priority.
       /// \pre The heap must be non-empty.
       void pop() {}
 
-      /// \brief Removes an item from the heap.
+      /// \brief Remove the given item from the heap.
       ///
-      /// Removes the given item from the heap if it is already stored.
+      /// This function removes the given item from the heap if it is
+      /// already stored.
       /// \param i The item to delete.
+      /// \pre \e i must be in the heap.
       void erase(const Item &i) {}
 
-      /// \brief The priority of an item.
+      /// \brief The priority of the given item.
       ///
-      /// Returns the priority of the given item.
+      /// This function returns the priority of the given item.
       /// \param i The item.
-      /// \pre \c i must be in the heap.
+      /// \pre \e i must be in the heap.
       Prio operator[](const Item &i) const {}
 
-      /// \brief Sets the priority of an item or inserts it, if it is
+      /// \brief Set the priority of an item or insert it, if it is
       /// not stored in the heap.
       ///
       /// This method sets the priority of the given item if it is
-      /// already stored in the heap.
-      /// Otherwise it inserts the given item with the given priority.
+      /// already stored in the heap. Otherwise it inserts the given
+      /// item into the heap with the given priority.
       ///
       /// \param i The item.
       /// \param p The priority.
       void set(const Item &i, const Prio &p) {}
 
-      /// \brief Decreases the priority of an item to the given value.
+      /// \brief Decrease the priority of an item to the given value.
       ///
-      /// Decreases the priority of an item to the given value.
+      /// This function decreases the priority of an item to the given value.
       /// \param i The item.
       /// \param p The priority.
-      /// \pre \c i must be stored in the heap with priority at least \c p.
+      /// \pre \e i must be stored in the heap with priority at least \e p.
       void decrease(const Item &i, const Prio &p) {}
 
-      /// \brief Increases the priority of an item to the given value.
+      /// \brief Increase the priority of an item to the given value.
       ///
-      /// Increases the priority of an item to the given value.
+      /// This function increases the priority of an item to the given value.
       /// \param i The item.
       /// \param p The priority.
-      /// \pre \c i must be stored in the heap with priority at most \c p.
+      /// \pre \e i must be stored in the heap with priority at most \e p.
       void increase(const Item &i, const Prio &p) {}
 
-      /// \brief Returns if an item is in, has already been in, or has
-      /// never been in the heap.
+      /// \brief Return the state of an item.
       ///
       /// This method returns \c PRE_HEAP if the given item has never
       /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
@@ -176,11 +198,11 @@
       /// \param i The item.
       State state(const Item &i) const {}
 
-      /// \brief Sets the state of an item in the heap.
+      /// \brief Set the state of an item in the heap.
       ///
-      /// Sets the state of the given item in the heap. It can be used
-      /// to manually clear the heap when it is important to achive the
-      /// better time complexity.
+      /// This function sets the state of the given item in the heap.
+      /// It can be used to manually clear the heap when it is important
+      /// to achive better time complexity.
       /// \param i The item.
       /// \param st The state. It should not be \c IN_HEAP.
       void state(const Item& i, State st) {}
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/concepts/path.h
--- a/lemon/concepts/path.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/concepts/path.h	Thu Dec 10 17:18:25 2009 +0100
@@ -18,7 +18,7 @@
 
 ///\ingroup concept
 ///\file
-///\brief Classes for representing paths in digraphs.
+///\brief The concept of paths
 ///
 
 #ifndef LEMON_CONCEPTS_PATH_H
@@ -38,13 +38,22 @@
     ///
     /// A skeleton structure for representing directed paths in a
     /// digraph.
+    /// In a sense, a path can be treated as a list of arcs.
+    /// LEMON path types just store this list. As a consequence, they cannot
+    /// enumerate the nodes on the path directly and a zero length path
+    /// cannot store its source node.
+    ///
+    /// The arcs of a path should be stored in the order of their directions,
+    /// i.e. the target node of each arc should be the same as the source
+    /// node of the next arc. This consistency could be checked using
+    /// \ref checkPath().
+    /// The source and target nodes of a (consistent) path can be obtained
+    /// using \ref pathSource() and \ref pathTarget().
+    ///
+    /// A path can be constructed from another path of any type using the
+    /// copy constructor or the assignment operator.
+    ///
     /// \tparam GR The digraph type in which the path is.
-    ///
-    /// In a sense, the path can be treated as a list of arcs. The
-    /// lemon path type stores just this list. As a consequence it
-    /// cannot enumerate the nodes in the path and the zero length
-    /// paths cannot store the source.
-    ///
     template <typename GR>
     class Path {
     public:
@@ -59,18 +68,18 @@
       /// \brief Default constructor
       Path() {}
 
-      /// \brief Template constructor
+      /// \brief Template copy constructor
       template <typename CPath>
       Path(const CPath& cpath) {}
 
-      /// \brief Template assigment
+      /// \brief Template assigment operator
       template <typename CPath>
       Path& operator=(const CPath& cpath) {
         ignore_unused_variable_warning(cpath);
         return *this;
       }
 
-      /// Length of the path ie. the number of arcs in the path.
+      /// Length of the path, i.e. the number of arcs on the path.
       int length() const { return 0;}
 
       /// Returns whether the path is empty.
@@ -79,19 +88,19 @@
       /// Resets the path to an empty path.
       void clear() {}
 
-      /// \brief LEMON style iterator for path arcs
+      /// \brief LEMON style iterator for enumerating the arcs of a path.
       ///
-      /// This class is used to iterate on the arcs of the paths.
+      /// LEMON style iterator class for enumerating the arcs of a path.
       class ArcIt {
       public:
         /// Default constructor
         ArcIt() {}
         /// Invalid constructor
         ArcIt(Invalid) {}
-        /// Constructor for first arc
+        /// Sets the iterator to the first arc of the given path
         ArcIt(const Path &) {}
 
-        /// Conversion to Arc
+        /// Conversion to \c Arc
         operator Arc() const { return INVALID; }
 
         /// Next arc
@@ -192,24 +201,18 @@
     /// \brief A skeleton structure for path dumpers.
     ///
     /// A skeleton structure for path dumpers. The path dumpers are
-    /// the generalization of the paths. The path dumpers can
-    /// enumerate the arcs of the path wheter in forward or in
-    /// backward order.  In most time these classes are not used
-    /// directly rather it used to assign a dumped class to a real
-    /// path type.
+    /// the generalization of the paths, they can enumerate the arcs
+    /// of the path either in forward or in backward order.
+    /// These classes are typically not used directly, they are rather
+    /// used to be assigned to a real path type.
     ///
     /// The main purpose of this concept is that the shortest path
-    /// algorithms can enumerate easily the arcs in reverse order.
-    /// If we would like to give back a real path from these
-    /// algorithms then we should create a temporarly path object. In
-    /// LEMON such algorithms gives back a path dumper what can
-    /// assigned to a real path and the dumpers can be implemented as
+    /// algorithms can enumerate the arcs easily in reverse order.
+    /// In LEMON, such algorithms give back a (reverse) path dumper that
+    /// can be assigned to a real path. The dumpers can be implemented as
     /// an adaptor class to the predecessor map.
     ///
     /// \tparam GR The digraph type in which the path is.
-    ///
-    /// The paths can be constructed from any path type by a
-    /// template constructor or a template assignment operator.
     template <typename GR>
     class PathDumper {
     public:
@@ -219,7 +222,7 @@
       /// Arc type of the underlying digraph.
       typedef typename Digraph::Arc Arc;
 
-      /// Length of the path ie. the number of arcs in the path.
+      /// Length of the path, i.e. the number of arcs on the path.
       int length() const { return 0;}
 
       /// Returns whether the path is empty.
@@ -227,25 +230,24 @@
 
       /// \brief Forward or reverse dumping
       ///
-      /// If the RevPathTag is defined and true then reverse dumping
-      /// is provided in the path dumper. In this case instead of the
-      /// ArcIt the RevArcIt iterator should be implemented in the
-      /// dumper.
+      /// If this tag is defined to be \c True, then reverse dumping
+      /// is provided in the path dumper. In this case, \c RevArcIt
+      /// iterator should be implemented instead of \c ArcIt iterator.
       typedef False RevPathTag;
 
-      /// \brief LEMON style iterator for path arcs
+      /// \brief LEMON style iterator for enumerating the arcs of a path.
       ///
-      /// This class is used to iterate on the arcs of the paths.
+      /// LEMON style iterator class for enumerating the arcs of a path.
       class ArcIt {
       public:
         /// Default constructor
         ArcIt() {}
         /// Invalid constructor
         ArcIt(Invalid) {}
-        /// Constructor for first arc
+        /// Sets the iterator to the first arc of the given path
         ArcIt(const PathDumper&) {}
 
-        /// Conversion to Arc
+        /// Conversion to \c Arc
         operator Arc() const { return INVALID; }
 
         /// Next arc
@@ -260,20 +262,21 @@
 
       };
 
-      /// \brief LEMON style iterator for path arcs
+      /// \brief LEMON style iterator for enumerating the arcs of a path
+      /// in reverse direction.
       ///
-      /// This class is used to iterate on the arcs of the paths in
-      /// reverse direction.
+      /// LEMON style iterator class for enumerating the arcs of a path
+      /// in reverse direction.
       class RevArcIt {
       public:
         /// Default constructor
         RevArcIt() {}
         /// Invalid constructor
         RevArcIt(Invalid) {}
-        /// Constructor for first arc
+        /// Sets the iterator to the last arc of the given path
         RevArcIt(const PathDumper &) {}
 
-        /// Conversion to Arc
+        /// Conversion to \c Arc
         operator Arc() const { return INVALID; }
 
         /// Next arc
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/counter.h
--- a/lemon/counter.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/counter.h	Thu Dec 10 17:18:25 2009 +0100
@@ -212,7 +212,7 @@
 
   /// 'Do nothing' version of Counter.
 
-  /// This class can be used in the same way as \ref Counter however it
+  /// This class can be used in the same way as \ref Counter, but it
   /// does not count at all and does not print report on destruction.
   ///
   /// Replacing a \ref Counter with a \ref NoCounter makes it possible
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/cplex.cc
--- a/lemon/cplex.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/cplex.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -111,6 +111,39 @@
     return i;
   }
 
+  int CplexBase::_addRow(Value lb, ExprIterator b, 
+                         ExprIterator e, Value ub) {
+    int i = CPXgetnumrows(cplexEnv(), _prob);
+    if (lb == -INF) {
+      const char s = 'L';
+      CPXnewrows(cplexEnv(), _prob, 1, &ub, &s, 0, 0);
+    } else if (ub == INF) {
+      const char s = 'G';
+      CPXnewrows(cplexEnv(), _prob, 1, &lb, &s, 0, 0);
+    } else if (lb == ub){
+      const char s = 'E';
+      CPXnewrows(cplexEnv(), _prob, 1, &lb, &s, 0, 0);
+    } else {
+      const char s = 'R';
+      double len = ub - lb;
+      CPXnewrows(cplexEnv(), _prob, 1, &lb, &s, &len, 0);
+    }
+
+    std::vector<int> indices;
+    std::vector<int> rowlist;
+    std::vector<Value> values;
+
+    for(ExprIterator it=b; it!=e; ++it) {
+      indices.push_back(it->first);
+      values.push_back(it->second);
+      rowlist.push_back(i);
+    }
+
+    CPXchgcoeflist(cplexEnv(), _prob, values.size(),
+                   &rowlist.front(), &indices.front(), &values.front());
+
+    return i;
+  }
 
   void CplexBase::_eraseCol(int i) {
     CPXdelcols(cplexEnv(), _prob, i, i);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/cplex.h
--- a/lemon/cplex.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/cplex.h	Thu Dec 10 17:18:25 2009 +0100
@@ -93,6 +93,7 @@
 
     virtual int _addCol();
     virtual int _addRow();
+    virtual int _addRow(Value l, ExprIterator b, ExprIterator e, Value u);
 
     virtual void _eraseCol(int i);
     virtual void _eraseRow(int i);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/dfs.h
--- a/lemon/dfs.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/dfs.h	Thu Dec 10 17:18:25 2009 +0100
@@ -47,7 +47,7 @@
     ///
     ///The type of the map that stores the predecessor
     ///arcs of the %DFS paths.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
     ///Instantiates a \c PredMap.
 
@@ -62,7 +62,8 @@
     ///The type of the map that indicates which nodes are processed.
 
     ///The type of the map that indicates which nodes are processed.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    ///By default, it is a NullMap.
     typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
     ///Instantiates a \c ProcessedMap.
 
@@ -81,7 +82,7 @@
     ///The type of the map that indicates which nodes are reached.
 
     ///The type of the map that indicates which nodes are reached.
-    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
+    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
     typedef typename Digraph::template NodeMap<bool> ReachedMap;
     ///Instantiates a \c ReachedMap.
 
@@ -96,7 +97,7 @@
     ///The type of the map that stores the distances of the nodes.
 
     ///The type of the map that stores the distances of the nodes.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<int> DistMap;
     ///Instantiates a \c DistMap.
 
@@ -224,7 +225,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c PredMap type.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     template <class T>
     struct SetPredMap : public Dfs<Digraph, SetPredMapTraits<T> > {
       typedef Dfs<Digraph, SetPredMapTraits<T> > Create;
@@ -244,7 +245,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c DistMap type.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     template <class T>
     struct SetDistMap : public Dfs< Digraph, SetDistMapTraits<T> > {
       typedef Dfs<Digraph, SetDistMapTraits<T> > Create;
@@ -264,7 +265,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c ReachedMap type.
-    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
+    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
     template <class T>
     struct SetReachedMap : public Dfs< Digraph, SetReachedMapTraits<T> > {
       typedef Dfs< Digraph, SetReachedMapTraits<T> > Create;
@@ -284,7 +285,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c ProcessedMap type.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     template <class T>
     struct SetProcessedMap : public Dfs< Digraph, SetProcessedMapTraits<T> > {
       typedef Dfs< Digraph, SetProcessedMapTraits<T> > Create;
@@ -411,8 +412,8 @@
     ///\name Execution Control
     ///The simplest way to execute the DFS algorithm is to use one of the
     ///member functions called \ref run(Node) "run()".\n
-    ///If you need more control on the execution, first you have to call
-    ///\ref init(), then you can add a source node with \ref addSource()
+    ///If you need better control on the execution, you have to call
+    ///\ref init() first, then you can add a source node with \ref addSource()
     ///and perform the actual computation with \ref start().
     ///This procedure can be repeated if there are nodes that have not
     ///been reached.
@@ -632,12 +633,8 @@
 
     ///Runs the algorithm to visit all nodes in the digraph.
 
-    ///This method runs the %DFS algorithm in order to compute the
-    ///%DFS path to each node.
-    ///
-    ///The algorithm computes
-    ///- the %DFS tree (forest),
-    ///- the distance of each node from the root(s) in the %DFS tree.
+    ///This method runs the %DFS algorithm in order to visit all nodes
+    ///in the digraph.
     ///
     ///\note <tt>d.run()</tt> is just a shortcut of the following code.
     ///\code
@@ -669,9 +666,9 @@
 
     ///@{
 
-    ///The DFS path to a node.
+    ///The DFS path to the given node.
 
-    ///Returns the DFS path to a node.
+    ///Returns the DFS path to the given node from the root(s).
     ///
     ///\warning \c t should be reached from the root(s).
     ///
@@ -679,9 +676,9 @@
     ///must be called before using this function.
     Path path(Node t) const { return Path(*G, *_pred, t); }
 
-    ///The distance of a node from the root(s).
+    ///The distance of the given node from the root(s).
 
-    ///Returns the distance of a node from the root(s).
+    ///Returns the distance of the given node from the root(s).
     ///
     ///\warning If node \c v is not reached from the root(s), then
     ///the return value of this function is undefined.
@@ -690,7 +687,7 @@
     ///must be called before using this function.
     int dist(Node v) const { return (*_dist)[v]; }
 
-    ///Returns the 'previous arc' of the %DFS tree for a node.
+    ///Returns the 'previous arc' of the %DFS tree for the given node.
 
     ///This function returns the 'previous arc' of the %DFS tree for the
     ///node \c v, i.e. it returns the last arc of a %DFS path from a
@@ -698,21 +695,21 @@
     ///root(s) or if \c v is a root.
     ///
     ///The %DFS tree used here is equal to the %DFS tree used in
-    ///\ref predNode().
+    ///\ref predNode() and \ref predMap().
     ///
     ///\pre Either \ref run(Node) "run()" or \ref init()
     ///must be called before using this function.
     Arc predArc(Node v) const { return (*_pred)[v];}
 
-    ///Returns the 'previous node' of the %DFS tree.
+    ///Returns the 'previous node' of the %DFS tree for the given node.
 
     ///This function returns the 'previous node' of the %DFS
     ///tree for the node \c v, i.e. it returns the last but one node
-    ///from a %DFS path from a root to \c v. It is \c INVALID
+    ///of a %DFS path from a root to \c v. It is \c INVALID
     ///if \c v is not reached from the root(s) or if \c v is a root.
     ///
     ///The %DFS tree used here is equal to the %DFS tree used in
-    ///\ref predArc().
+    ///\ref predArc() and \ref predMap().
     ///
     ///\pre Either \ref run(Node) "run()" or \ref init()
     ///must be called before using this function.
@@ -733,13 +730,13 @@
     ///predecessor arcs.
     ///
     ///Returns a const reference to the node map that stores the predecessor
-    ///arcs, which form the DFS tree.
+    ///arcs, which form the DFS tree (forest).
     ///
     ///\pre Either \ref run(Node) "run()" or \ref init()
     ///must be called before using this function.
     const PredMap &predMap() const { return *_pred;}
 
-    ///Checks if a node is reached from the root(s).
+    ///Checks if the given node. node is reached from the root(s).
 
     ///Returns \c true if \c v is reached from the root(s).
     ///
@@ -765,7 +762,7 @@
     ///
     ///The type of the map that stores the predecessor
     ///arcs of the %DFS paths.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
     ///Instantiates a PredMap.
 
@@ -780,8 +777,8 @@
     ///The type of the map that indicates which nodes are processed.
 
     ///The type of the map that indicates which nodes are processed.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
-    ///By default it is a NullMap.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    ///By default, it is a NullMap.
     typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
     ///Instantiates a ProcessedMap.
 
@@ -800,7 +797,7 @@
     ///The type of the map that indicates which nodes are reached.
 
     ///The type of the map that indicates which nodes are reached.
-    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
+    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
     typedef typename Digraph::template NodeMap<bool> ReachedMap;
     ///Instantiates a ReachedMap.
 
@@ -815,7 +812,7 @@
     ///The type of the map that stores the distances of the nodes.
 
     ///The type of the map that stores the distances of the nodes.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<int> DistMap;
     ///Instantiates a DistMap.
 
@@ -830,18 +827,14 @@
     ///The type of the DFS paths.
 
     ///The type of the DFS paths.
-    ///It must meet the \ref concepts::Path "Path" concept.
+    ///It must conform to the \ref concepts::Path "Path" concept.
     typedef lemon::Path<Digraph> Path;
   };
 
   /// Default traits class used by DfsWizard
 
-  /// To make it easier to use Dfs algorithm
-  /// we have created a wizard class.
-  /// This \ref DfsWizard class needs default traits,
-  /// as well as the \ref Dfs class.
-  /// The \ref DfsWizardBase is a class to be the default traits of the
-  /// \ref DfsWizard class.
+  /// Default traits class used by DfsWizard.
+  /// \tparam GR The type of the digraph.
   template<class GR>
   class DfsWizardBase : public DfsWizardDefaultTraits<GR>
   {
@@ -869,7 +862,7 @@
     public:
     /// Constructor.
 
-    /// This constructor does not require parameters, therefore it initiates
+    /// This constructor does not require parameters, it initiates
     /// all of the attributes to \c 0.
     DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
                       _dist(0), _path(0), _di(0) {}
@@ -899,7 +892,6 @@
   {
     typedef TR Base;
 
-    ///The type of the digraph the algorithm runs on.
     typedef typename TR::Digraph Digraph;
 
     typedef typename Digraph::Node Node;
@@ -907,16 +899,10 @@
     typedef typename Digraph::Arc Arc;
     typedef typename Digraph::OutArcIt OutArcIt;
 
-    ///\brief The type of the map that stores the predecessor
-    ///arcs of the DFS paths.
     typedef typename TR::PredMap PredMap;
-    ///\brief The type of the map that stores the distances of the nodes.
     typedef typename TR::DistMap DistMap;
-    ///\brief The type of the map that indicates which nodes are reached.
     typedef typename TR::ReachedMap ReachedMap;
-    ///\brief The type of the map that indicates which nodes are processed.
     typedef typename TR::ProcessedMap ProcessedMap;
-    ///The type of the DFS paths
     typedef typename TR::Path Path;
 
   public:
@@ -986,8 +972,8 @@
 
     ///Runs DFS algorithm to visit all nodes in the digraph.
 
-    ///This method runs DFS algorithm in order to compute
-    ///the DFS path to each node.
+    ///This method runs DFS algorithm in order to visit all nodes
+    ///in the digraph.
     void run()
     {
       run(INVALID);
@@ -999,11 +985,12 @@
       static PredMap *createPredMap(const Digraph &) { return 0; };
       SetPredMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting PredMap object.
+
+    ///\brief \ref named-templ-param "Named parameter" for setting
+    ///the predecessor map.
     ///
-    ///\ref named-func-param "Named parameter"
-    ///for setting PredMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that stores the predecessor arcs of the nodes.
     template<class T>
     DfsWizard<SetPredMapBase<T> > predMap(const T &t)
     {
@@ -1017,11 +1004,12 @@
       static ReachedMap *createReachedMap(const Digraph &) { return 0; };
       SetReachedMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting ReachedMap object.
+
+    ///\brief \ref named-templ-param "Named parameter" for setting
+    ///the reached map.
     ///
-    /// \ref named-func-param "Named parameter"
-    ///for setting ReachedMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that indicates which nodes are reached.
     template<class T>
     DfsWizard<SetReachedMapBase<T> > reachedMap(const T &t)
     {
@@ -1035,11 +1023,13 @@
       static DistMap *createDistMap(const Digraph &) { return 0; };
       SetDistMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting DistMap object.
+
+    ///\brief \ref named-templ-param "Named parameter" for setting
+    ///the distance map.
     ///
-    /// \ref named-func-param "Named parameter"
-    ///for setting DistMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that stores the distances of the nodes calculated
+    ///by the algorithm.
     template<class T>
     DfsWizard<SetDistMapBase<T> > distMap(const T &t)
     {
@@ -1053,11 +1043,12 @@
       static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
       SetProcessedMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting ProcessedMap object.
+
+    ///\brief \ref named-func-param "Named parameter" for setting
+    ///the processed map.
     ///
-    /// \ref named-func-param "Named parameter"
-    ///for setting ProcessedMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that indicates which nodes are processed.
     template<class T>
     DfsWizard<SetProcessedMapBase<T> > processedMap(const T &t)
     {
@@ -1208,7 +1199,7 @@
     /// \brief The type of the map that indicates which nodes are reached.
     ///
     /// The type of the map that indicates which nodes are reached.
-    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
+    /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
     typedef typename Digraph::template NodeMap<bool> ReachedMap;
 
     /// \brief Instantiates a ReachedMap.
@@ -1369,8 +1360,8 @@
     /// \name Execution Control
     /// The simplest way to execute the DFS algorithm is to use one of the
     /// member functions called \ref run(Node) "run()".\n
-    /// If you need more control on the execution, first you have to call
-    /// \ref init(), then you can add a source node with \ref addSource()
+    /// If you need better control on the execution, you have to call
+    /// \ref init() first, then you can add a source node with \ref addSource()
     /// and perform the actual computation with \ref start().
     /// This procedure can be repeated if there are nodes that have not
     /// been reached.
@@ -1583,12 +1574,8 @@
 
     /// \brief Runs the algorithm to visit all nodes in the digraph.
 
-    /// This method runs the %DFS algorithm in order to
-    /// compute the %DFS path to each node.
-    ///
-    /// The algorithm computes
-    /// - the %DFS tree (forest),
-    /// - the distance of each node from the root(s) in the %DFS tree.
+    /// This method runs the %DFS algorithm in order to visit all nodes
+    /// in the digraph.
     ///
     /// \note <tt>d.run()</tt> is just a shortcut of the following code.
     ///\code
@@ -1620,7 +1607,7 @@
 
     ///@{
 
-    /// \brief Checks if a node is reached from the root(s).
+    /// \brief Checks if the given node is reached from the root(s).
     ///
     /// Returns \c true if \c v is reached from the root(s).
     ///
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/dijkstra.h
--- a/lemon/dijkstra.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/dijkstra.h	Thu Dec 10 17:18:25 2009 +0100
@@ -70,9 +70,9 @@
     ///The type of the map that stores the arc lengths.
 
     ///The type of the map that stores the arc lengths.
-    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
+    ///It must conform to the \ref concepts::ReadMap "ReadMap" concept.
     typedef LEN LengthMap;
-    ///The type of the length of the arcs.
+    ///The type of the arc lengths.
     typedef typename LEN::Value Value;
 
     /// Operation traits for %Dijkstra algorithm.
@@ -116,7 +116,7 @@
     ///
     ///The type of the map that stores the predecessor
     ///arcs of the shortest paths.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
     ///Instantiates a \c PredMap.
 
@@ -131,8 +131,8 @@
     ///The type of the map that indicates which nodes are processed.
 
     ///The type of the map that indicates which nodes are processed.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
-    ///By default it is a NullMap.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    ///By default, it is a NullMap.
     typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
     ///Instantiates a \c ProcessedMap.
 
@@ -151,7 +151,7 @@
     ///The type of the map that stores the distances of the nodes.
 
     ///The type of the map that stores the distances of the nodes.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap;
     ///Instantiates a \c DistMap.
 
@@ -169,6 +169,10 @@
   /// \ingroup shortest_path
   ///This class provides an efficient implementation of the %Dijkstra algorithm.
   ///
+  ///The %Dijkstra algorithm solves the single-source shortest path problem
+  ///when all arc lengths are non-negative. If there are negative lengths,
+  ///the BellmanFord algorithm should be used instead.
+  ///
   ///The arc lengths are passed to the algorithm using a
   ///\ref concepts::ReadMap "ReadMap",
   ///so it is easy to change it to any kind of length.
@@ -201,8 +205,8 @@
     ///The type of the digraph the algorithm runs on.
     typedef typename TR::Digraph Digraph;
 
-    ///The type of the length of the arcs.
-    typedef typename TR::LengthMap::Value Value;
+    ///The type of the arc lengths.
+    typedef typename TR::Value Value;
     ///The type of the map that stores the arc lengths.
     typedef typename TR::LengthMap LengthMap;
     ///\brief The type of the map that stores the predecessor arcs of the
@@ -304,7 +308,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c PredMap type.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     template <class T>
     struct SetPredMap
       : public Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > {
@@ -325,7 +329,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c DistMap type.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     template <class T>
     struct SetDistMap
       : public Dijkstra< Digraph, LengthMap, SetDistMapTraits<T> > {
@@ -346,7 +350,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c ProcessedMap type.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     template <class T>
     struct SetProcessedMap
       : public Dijkstra< Digraph, LengthMap, SetProcessedMapTraits<T> > {
@@ -422,7 +426,7 @@
     ///automatically created by the algorithm (i.e. the digraph should be
     ///passed to the constructor of the cross reference and the cross
     ///reference should be passed to the constructor of the heap).
-    ///However external heap and cross reference objects could also be
+    ///However, external heap and cross reference objects could also be
     ///passed to the algorithm using the \ref heap() function before
     ///calling \ref run(Node) "run()" or \ref init().
     ///\sa SetHeap
@@ -443,6 +447,7 @@
     ///
     ///\ref named-templ-param "Named parameter" for setting
     ///\c OperationTraits type.
+    /// For more information, see \ref DijkstraDefaultOperationTraits.
     template <class T>
     struct SetOperationTraits
       : public Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> > {
@@ -584,8 +589,8 @@
     ///\name Execution Control
     ///The simplest way to execute the %Dijkstra algorithm is to use
     ///one of the member functions called \ref run(Node) "run()".\n
-    ///If you need more control on the execution, first you have to call
-    ///\ref init(), then you can add several source nodes with
+    ///If you need better control on the execution, you have to call
+    ///\ref init() first, then you can add several source nodes with
     ///\ref addSource(). Finally the actual path computation can be
     ///performed with one of the \ref start() functions.
 
@@ -801,14 +806,14 @@
     ///\name Query Functions
     ///The results of the %Dijkstra algorithm can be obtained using these
     ///functions.\n
-    ///Either \ref run(Node) "run()" or \ref start() should be called
+    ///Either \ref run(Node) "run()" or \ref init() should be called
     ///before using them.
 
     ///@{
 
-    ///The shortest path to a node.
+    ///The shortest path to the given node.
 
-    ///Returns the shortest path to a node.
+    ///Returns the shortest path to the given node from the root(s).
     ///
     ///\warning \c t should be reached from the root(s).
     ///
@@ -816,9 +821,9 @@
     ///must be called before using this function.
     Path path(Node t) const { return Path(*G, *_pred, t); }
 
-    ///The distance of a node from the root(s).
+    ///The distance of the given node from the root(s).
 
-    ///Returns the distance of a node from the root(s).
+    ///Returns the distance of the given node from the root(s).
     ///
     ///\warning If node \c v is not reached from the root(s), then
     ///the return value of this function is undefined.
@@ -827,29 +832,31 @@
     ///must be called before using this function.
     Value dist(Node v) const { return (*_dist)[v]; }
 
-    ///Returns the 'previous arc' of the shortest path tree for a node.
-
+    ///\brief Returns the 'previous arc' of the shortest path tree for
+    ///the given node.
+    ///
     ///This function returns the 'previous arc' of the shortest path
     ///tree for the node \c v, i.e. it returns the last arc of a
     ///shortest path from a root to \c v. It is \c INVALID if \c v
     ///is not reached from the root(s) or if \c v is a root.
     ///
     ///The shortest path tree used here is equal to the shortest path
-    ///tree used in \ref predNode().
+    ///tree used in \ref predNode() and \ref predMap().
     ///
     ///\pre Either \ref run(Node) "run()" or \ref init()
     ///must be called before using this function.
     Arc predArc(Node v) const { return (*_pred)[v]; }
 
-    ///Returns the 'previous node' of the shortest path tree for a node.
-
+    ///\brief Returns the 'previous node' of the shortest path tree for
+    ///the given node.
+    ///
     ///This function returns the 'previous node' of the shortest path
     ///tree for the node \c v, i.e. it returns the last but one node
-    ///from a shortest path from a root to \c v. It is \c INVALID
+    ///of a shortest path from a root to \c v. It is \c INVALID
     ///if \c v is not reached from the root(s) or if \c v is a root.
     ///
     ///The shortest path tree used here is equal to the shortest path
-    ///tree used in \ref predArc().
+    ///tree used in \ref predArc() and \ref predMap().
     ///
     ///\pre Either \ref run(Node) "run()" or \ref init()
     ///must be called before using this function.
@@ -870,13 +877,13 @@
     ///predecessor arcs.
     ///
     ///Returns a const reference to the node map that stores the predecessor
-    ///arcs, which form the shortest path tree.
+    ///arcs, which form the shortest path tree (forest).
     ///
     ///\pre Either \ref run(Node) "run()" or \ref init()
     ///must be called before using this function.
     const PredMap &predMap() const { return *_pred;}
 
-    ///Checks if a node is reached from the root(s).
+    ///Checks if the given node is reached from the root(s).
 
     ///Returns \c true if \c v is reached from the root(s).
     ///
@@ -895,9 +902,9 @@
     bool processed(Node v) const { return (*_heap_cross_ref)[v] ==
                                           Heap::POST_HEAP; }
 
-    ///The current distance of a node from the root(s).
+    ///The current distance of the given node from the root(s).
 
-    ///Returns the current distance of a node from the root(s).
+    ///Returns the current distance of the given node from the root(s).
     ///It may be decreased in the following processes.
     ///
     ///\pre Either \ref run(Node) "run()" or \ref init()
@@ -924,9 +931,9 @@
     ///The type of the map that stores the arc lengths.
 
     ///The type of the map that stores the arc lengths.
-    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
+    ///It must conform to the \ref concepts::ReadMap "ReadMap" concept.
     typedef LEN LengthMap;
-    ///The type of the length of the arcs.
+    ///The type of the arc lengths.
     typedef typename LEN::Value Value;
 
     /// Operation traits for Dijkstra algorithm.
@@ -973,7 +980,7 @@
     ///
     ///The type of the map that stores the predecessor
     ///arcs of the shortest paths.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
     ///Instantiates a PredMap.
 
@@ -988,8 +995,8 @@
     ///The type of the map that indicates which nodes are processed.
 
     ///The type of the map that indicates which nodes are processed.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
-    ///By default it is a NullMap.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    ///By default, it is a NullMap.
     typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
     ///Instantiates a ProcessedMap.
 
@@ -1008,7 +1015,7 @@
     ///The type of the map that stores the distances of the nodes.
 
     ///The type of the map that stores the distances of the nodes.
-    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
+    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
     typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap;
     ///Instantiates a DistMap.
 
@@ -1023,18 +1030,15 @@
     ///The type of the shortest paths.
 
     ///The type of the shortest paths.
-    ///It must meet the \ref concepts::Path "Path" concept.
+    ///It must conform to the \ref concepts::Path "Path" concept.
     typedef lemon::Path<Digraph> Path;
   };
 
   /// Default traits class used by DijkstraWizard
 
-  /// To make it easier to use Dijkstra algorithm
-  /// we have created a wizard class.
-  /// This \ref DijkstraWizard class needs default traits,
-  /// as well as the \ref Dijkstra class.
-  /// The \ref DijkstraWizardBase is a class to be the default traits of the
-  /// \ref DijkstraWizard class.
+  /// Default traits class used by DijkstraWizard.
+  /// \tparam GR The type of the digraph.
+  /// \tparam LEN The type of the length map.
   template<typename GR, typename LEN>
   class DijkstraWizardBase : public DijkstraWizardDefaultTraits<GR,LEN>
   {
@@ -1093,7 +1097,6 @@
   {
     typedef TR Base;
 
-    ///The type of the digraph the algorithm runs on.
     typedef typename TR::Digraph Digraph;
 
     typedef typename Digraph::Node Node;
@@ -1101,20 +1104,12 @@
     typedef typename Digraph::Arc Arc;
     typedef typename Digraph::OutArcIt OutArcIt;
 
-    ///The type of the map that stores the arc lengths.
     typedef typename TR::LengthMap LengthMap;
-    ///The type of the length of the arcs.
     typedef typename LengthMap::Value Value;
-    ///\brief The type of the map that stores the predecessor
-    ///arcs of the shortest paths.
     typedef typename TR::PredMap PredMap;
-    ///The type of the map that stores the distances of the nodes.
     typedef typename TR::DistMap DistMap;
-    ///The type of the map that indicates which nodes are processed.
     typedef typename TR::ProcessedMap ProcessedMap;
-    ///The type of the shortest paths
     typedef typename TR::Path Path;
-    ///The heap type used by the dijkstra algorithm.
     typedef typename TR::Heap Heap;
 
   public:
@@ -1186,11 +1181,12 @@
       static PredMap *createPredMap(const Digraph &) { return 0; };
       SetPredMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting PredMap object.
+
+    ///\brief \ref named-templ-param "Named parameter" for setting
+    ///the predecessor map.
     ///
-    ///\ref named-func-param "Named parameter"
-    ///for setting PredMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that stores the predecessor arcs of the nodes.
     template<class T>
     DijkstraWizard<SetPredMapBase<T> > predMap(const T &t)
     {
@@ -1204,11 +1200,13 @@
       static DistMap *createDistMap(const Digraph &) { return 0; };
       SetDistMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting DistMap object.
+
+    ///\brief \ref named-templ-param "Named parameter" for setting
+    ///the distance map.
     ///
-    ///\ref named-func-param "Named parameter"
-    ///for setting DistMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that stores the distances of the nodes calculated
+    ///by the algorithm.
     template<class T>
     DijkstraWizard<SetDistMapBase<T> > distMap(const T &t)
     {
@@ -1222,11 +1220,12 @@
       static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
       SetProcessedMapBase(const TR &b) : TR(b) {}
     };
-    ///\brief \ref named-func-param "Named parameter"
-    ///for setting ProcessedMap object.
+
+    ///\brief \ref named-func-param "Named parameter" for setting
+    ///the processed map.
     ///
-    /// \ref named-func-param "Named parameter"
-    ///for setting ProcessedMap object.
+    ///\ref named-templ-param "Named parameter" function for setting
+    ///the map that indicates which nodes are processed.
     template<class T>
     DijkstraWizard<SetProcessedMapBase<T> > processedMap(const T &t)
     {
@@ -1239,6 +1238,7 @@
       typedef T Path;
       SetPathBase(const TR &b) : TR(b) {}
     };
+
     ///\brief \ref named-func-param "Named parameter"
     ///for getting the shortest path to the target node.
     ///
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/dim2.h
--- a/lemon/dim2.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/dim2.h	Thu Dec 10 17:18:25 2009 +0100
@@ -21,16 +21,9 @@
 
 #include <iostream>
 
-///\ingroup misc
+///\ingroup geomdat
 ///\file
 ///\brief A simple two dimensional vector and a bounding box implementation
-///
-/// The class \ref lemon::dim2::Point "dim2::Point" implements
-/// a two dimensional vector with the usual operations.
-///
-/// The class \ref lemon::dim2::Box "dim2::Box" can be used to determine
-/// the rectangular bounding box of a set of
-/// \ref lemon::dim2::Point "dim2::Point"'s.
 
 namespace lemon {
 
@@ -40,7 +33,7 @@
   ///tools for handling two dimensional coordinates
   namespace dim2 {
 
-  /// \addtogroup misc
+  /// \addtogroup geomdat
   /// @{
 
   /// Two dimensional vector (plain vector)
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/edge_set.h
--- a/lemon/edge_set.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/edge_set.h	Thu Dec 10 17:18:25 2009 +0100
@@ -255,13 +255,14 @@
   /// that node can be removed from the underlying graph, in this case
   /// all arcs incident to the given node is erased from the arc set.
   ///
+  /// This class fully conforms to the \ref concepts::Digraph
+  /// "Digraph" concept.
+  /// It provides only linear time counting for nodes and arcs.
+  ///
   /// \param GR The type of the graph which shares its node set with
   /// this class. Its interface must conform to the
   /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph"
   /// concept.
-  ///
-  /// This class fully conforms to the \ref concepts::Digraph
-  /// "Digraph" concept.
   template <typename GR>
   class ListArcSet : public ArcSetExtender<ListArcSetBase<GR> > {
     typedef ArcSetExtender<ListArcSetBase<GR> > Parent;
@@ -685,13 +686,14 @@
   /// be removed from the underlying graph, in this case all edges
   /// incident to the given node is erased from the arc set.
   ///
+  /// This class fully conforms to the \ref concepts::Graph "Graph"
+  /// concept.
+  /// It provides only linear time counting for nodes, edges and arcs.
+  ///
   /// \param GR The type of the graph which shares its node set
   /// with this class. Its interface must conform to the
   /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph"
   /// concept.
-  ///
-  /// This class fully conforms to the \ref concepts::Graph "Graph"
-  /// concept.
   template <typename GR>
   class ListEdgeSet : public EdgeSetExtender<ListEdgeSetBase<GR> > {
     typedef EdgeSetExtender<ListEdgeSetBase<GR> > Parent;
@@ -867,7 +869,7 @@
       arc.id = arcs.size() - 1;
     }
 
-    void next(Arc& arc) const {
+    static void next(Arc& arc) {
       --arc.id;
     }
 
@@ -954,13 +956,14 @@
   /// single-linked lists for enumerate outgoing and incoming
   /// arcs. Therefore the arcs cannot be erased from the arc sets.
   ///
+  /// This class fully conforms to the \ref concepts::Digraph "Digraph"
+  /// concept.
+  /// It provides only linear time counting for nodes and arcs.
+  ///
   /// \warning If a node is erased from the underlying graph and this
   /// node is the source or target of one arc in the arc set, then
   /// the arc set is invalidated, and it cannot be used anymore. The
   /// validity can be checked with the \c valid() member function.
-  ///
-  /// This class fully conforms to the \ref concepts::Digraph
-  /// "Digraph" concept.
   template <typename GR>
   class SmartArcSet : public ArcSetExtender<SmartArcSetBase<GR> > {
     typedef ArcSetExtender<SmartArcSetBase<GR> > Parent;
@@ -1173,7 +1176,7 @@
       arc.id = arcs.size() - 1;
     }
 
-    void next(Arc& arc) const {
+    static void next(Arc& arc) {
       --arc.id;
     }
 
@@ -1181,7 +1184,7 @@
       arc.id = arcs.size() / 2 - 1;
     }
 
-    void next(Edge& arc) const {
+    static void next(Edge& arc) {
       --arc.id;
     }
 
@@ -1304,13 +1307,14 @@
   /// single-linked lists for enumerate incident edges. Therefore the
   /// edges cannot be erased from the edge sets.
   ///
+  /// This class fully conforms to the \ref concepts::Graph "Graph"
+  /// concept.
+  /// It provides only linear time counting for nodes, edges and arcs.
+  ///
   /// \warning If a node is erased from the underlying graph and this
   /// node is incident to one edge in the edge set, then the edge set
   /// is invalidated, and it cannot be used anymore. The validity can
   /// be checked with the \c valid() member function.
-  ///
-  /// This class fully conforms to the \ref concepts::Graph
-  /// "Graph" concept.
   template <typename GR>
   class SmartEdgeSet : public EdgeSetExtender<SmartEdgeSetBase<GR> > {
     typedef EdgeSetExtender<SmartEdgeSetBase<GR> > Parent;
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/fib_heap.h
--- a/lemon/fib_heap.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/fib_heap.h	Thu Dec 10 17:18:25 2009 +0100
@@ -20,53 +20,49 @@
 #define LEMON_FIB_HEAP_H
 
 ///\file
-///\ingroup auxdat
-///\brief Fibonacci Heap implementation.
+///\ingroup heaps
+///\brief Fibonacci heap implementation.
 
 #include <vector>
+#include <utility>
 #include <functional>
 #include <lemon/math.h>
 
 namespace lemon {
 
-  /// \ingroup auxdat
+  /// \ingroup heaps
   ///
-  ///\brief Fibonacci Heap.
+  /// \brief Fibonacci heap data structure.
   ///
-  ///This class implements the \e Fibonacci \e heap data structure. A \e heap
-  ///is a data structure for storing items with specified values called \e
-  ///priorities in such a way that finding the item with minimum priority is
-  ///efficient. \c CMP specifies the ordering of the priorities. In a heap
-  ///one can change the priority of an item, add or erase an item, etc.
+  /// This class implements the \e Fibonacci \e heap data structure.
+  /// It fully conforms to the \ref concepts::Heap "heap concept".
   ///
-  ///The methods \ref increase and \ref erase are not efficient in a Fibonacci
-  ///heap. In case of many calls to these operations, it is better to use a
-  ///\ref BinHeap "binary heap".
+  /// The methods \ref increase() and \ref erase() are not efficient in a
+  /// Fibonacci heap. In case of many calls of these operations, it is
+  /// better to use other heap structure, e.g. \ref BinHeap "binary heap".
   ///
-  ///\param PRIO Type of the priority of the items.
-  ///\param IM A read and writable Item int map, used internally
-  ///to handle the cross references.
-  ///\param CMP A class for the ordering of the priorities. The
-  ///default is \c std::less<PRIO>.
-  ///
-  ///\sa BinHeap
-  ///\sa Dijkstra
+  /// \tparam PR Type of the priorities of the items.
+  /// \tparam IM A read-writable item map with \c int values, used
+  /// internally to handle the cross references.
+  /// \tparam CMP A functor class for comparing the priorities.
+  /// The default is \c std::less<PR>.
 #ifdef DOXYGEN
-  template <typename PRIO, typename IM, typename CMP>
+  template <typename PR, typename IM, typename CMP>
 #else
-  template <typename PRIO, typename IM, typename CMP = std::less<PRIO> >
+  template <typename PR, typename IM, typename CMP = std::less<PR> >
 #endif
   class FibHeap {
   public:
-    ///\e
+
+    /// Type of the item-int map.
     typedef IM ItemIntMap;
-    ///\e
-    typedef PRIO Prio;
-    ///\e
+    /// Type of the priorities.
+    typedef PR Prio;
+    /// Type of the items stored in the heap.
     typedef typename ItemIntMap::Key Item;
-    ///\e
+    /// Type of the item-priority pairs.
     typedef std::pair<Item,Prio> Pair;
-    ///\e
+    /// Functor type for comparing the priorities.
     typedef CMP Compare;
 
   private:
@@ -80,10 +76,10 @@
 
   public:
 
-    /// \brief Type to represent the items states.
+    /// \brief Type to represent the states of the items.
     ///
-    /// Each Item element have a state associated to it. It may be "in heap",
-    /// "pre heap" or "post heap". The latter two are indifferent from the
+    /// Each item has a state associated to it. It can be "in heap",
+    /// "pre-heap" or "post-heap". The latter two are indifferent from the
     /// heap's point of view, but may be useful to the user.
     ///
     /// The item-int map must be initialized in such way that it assigns
@@ -94,60 +90,54 @@
       POST_HEAP = -2  ///< = -2.
     };
 
-    /// \brief The constructor
+    /// \brief Constructor.
     ///
-    /// \c map should be given to the constructor, since it is
-    ///   used internally to handle the cross references.
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
     explicit FibHeap(ItemIntMap &map)
       : _minimum(0), _iim(map), _num() {}
 
-    /// \brief The constructor
+    /// \brief Constructor.
     ///
-    /// \c map should be given to the constructor, since it is used
-    /// internally to handle the cross references. \c comp is an
-    /// object for ordering of the priorities.
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    /// \param comp The function object used for comparing the priorities.
     FibHeap(ItemIntMap &map, const Compare &comp)
       : _minimum(0), _iim(map), _comp(comp), _num() {}
 
     /// \brief The number of items stored in the heap.
     ///
-    /// Returns the number of items stored in the heap.
+    /// This function returns the number of items stored in the heap.
     int size() const { return _num; }
 
-    /// \brief Checks if the heap stores no items.
+    /// \brief Check if the heap is empty.
     ///
-    ///   Returns \c true if and only if the heap stores no items.
+    /// This function returns \c true if the heap is empty.
     bool empty() const { return _num==0; }
 
-    /// \brief Make empty this heap.
+    /// \brief Make the heap empty.
     ///
-    /// Make empty this heap. It does not change the cross reference
-    /// map.  If you want to reuse a heap what is not surely empty you
-    /// should first clear the heap and after that you should set the
-    /// cross reference map for each item to \c PRE_HEAP.
+    /// This functon makes the heap empty.
+    /// It does not change the cross reference map. If you want to reuse
+    /// a heap that is not surely empty, you should first clear it and
+    /// then you should set the cross reference map to \c PRE_HEAP
+    /// for each item.
     void clear() {
       _data.clear(); _minimum = 0; _num = 0;
     }
 
-    /// \brief \c item gets to the heap with priority \c value independently
-    /// if \c item was already there.
+    /// \brief Insert an item into the heap with the given priority.
     ///
-    /// This method calls \ref push(\c item, \c value) if \c item is not
-    /// stored in the heap and it calls \ref decrease(\c item, \c value) or
-    /// \ref increase(\c item, \c value) otherwise.
-    void set (const Item& item, const Prio& value) {
-      int i=_iim[item];
-      if ( i >= 0 && _data[i].in ) {
-        if ( _comp(value, _data[i].prio) ) decrease(item, value);
-        if ( _comp(_data[i].prio, value) ) increase(item, value);
-      } else push(item, value);
-    }
-
-    /// \brief Adds \c item to the heap with priority \c value.
-    ///
-    /// Adds \c item to the heap with priority \c value.
-    /// \pre \c item must not be stored in the heap.
-    void push (const Item& item, const Prio& value) {
+    /// This function inserts the given item into the heap with the
+    /// given priority.
+    /// \param item The item to insert.
+    /// \param prio The priority of the item.
+    /// \pre \e item must not be stored in the heap.
+    void push (const Item& item, const Prio& prio) {
       int i=_iim[item];
       if ( i < 0 ) {
         int s=_data.size();
@@ -168,47 +158,37 @@
         _data[i].right_neighbor=_data[_minimum].right_neighbor;
         _data[_minimum].right_neighbor=i;
         _data[i].left_neighbor=_minimum;
-        if ( _comp( value, _data[_minimum].prio) ) _minimum=i;
+        if ( _comp( prio, _data[_minimum].prio) ) _minimum=i;
       } else {
         _data[i].right_neighbor=_data[i].left_neighbor=i;
         _minimum=i;
       }
-      _data[i].prio=value;
+      _data[i].prio=prio;
       ++_num;
     }
 
-    /// \brief Returns the item with minimum priority relative to \c Compare.
+    /// \brief Return the item having minimum priority.
     ///
-    /// This method returns the item with minimum priority relative to \c
-    /// Compare.
-    /// \pre The heap must be nonempty.
+    /// This function returns the item having minimum priority.
+    /// \pre The heap must be non-empty.
     Item top() const { return _data[_minimum].name; }
 
-    /// \brief Returns the minimum priority relative to \c Compare.
+    /// \brief The minimum priority.
     ///
-    /// It returns the minimum priority relative to \c Compare.
-    /// \pre The heap must be nonempty.
-    const Prio& prio() const { return _data[_minimum].prio; }
+    /// This function returns the minimum priority.
+    /// \pre The heap must be non-empty.
+    Prio prio() const { return _data[_minimum].prio; }
 
-    /// \brief Returns the priority of \c item.
+    /// \brief Remove the item having minimum priority.
     ///
-    /// It returns the priority of \c item.
-    /// \pre \c item must be in the heap.
-    const Prio& operator[](const Item& item) const {
-      return _data[_iim[item]].prio;
-    }
-
-    /// \brief Deletes the item with minimum priority relative to \c Compare.
-    ///
-    /// This method deletes the item with minimum priority relative to \c
-    /// Compare from the heap.
+    /// This function removes the item having minimum priority.
     /// \pre The heap must be non-empty.
     void pop() {
       /*The first case is that there are only one root.*/
       if ( _data[_minimum].left_neighbor==_minimum ) {
         _data[_minimum].in=false;
         if ( _data[_minimum].degree!=0 ) {
-          makeroot(_data[_minimum].child);
+          makeRoot(_data[_minimum].child);
           _minimum=_data[_minimum].child;
           balance();
         }
@@ -221,7 +201,7 @@
           int child=_data[_minimum].child;
           int last_child=_data[child].left_neighbor;
 
-          makeroot(child);
+          makeRoot(child);
 
           _data[left].right_neighbor=child;
           _data[child].left_neighbor=left;
@@ -234,10 +214,12 @@
       --_num;
     }
 
-    /// \brief Deletes \c item from the heap.
+    /// \brief Remove the given item from the heap.
     ///
-    /// This method deletes \c item from the heap, if \c item was already
-    /// stored in the heap. It is quite inefficient in Fibonacci heaps.
+    /// This function removes the given item from the heap if it is
+    /// already stored.
+    /// \param item The item to delete.
+    /// \pre \e item must be in the heap.
     void erase (const Item& item) {
       int i=_iim[item];
 
@@ -252,43 +234,68 @@
       }
     }
 
-    /// \brief Decreases the priority of \c item to \c value.
+    /// \brief The priority of the given item.
     ///
-    /// This method decreases the priority of \c item to \c value.
-    /// \pre \c item must be stored in the heap with priority at least \c
-    ///   value relative to \c Compare.
-    void decrease (Item item, const Prio& value) {
+    /// This function returns the priority of the given item.
+    /// \param item The item.
+    /// \pre \e item must be in the heap.
+    Prio operator[](const Item& item) const {
+      return _data[_iim[item]].prio;
+    }
+
+    /// \brief Set the priority of an item or insert it, if it is
+    /// not stored in the heap.
+    ///
+    /// This method sets the priority of the given item if it is
+    /// already stored in the heap. Otherwise it inserts the given
+    /// item into the heap with the given priority.
+    /// \param item The item.
+    /// \param prio The priority.
+    void set (const Item& item, const Prio& prio) {
       int i=_iim[item];
-      _data[i].prio=value;
+      if ( i >= 0 && _data[i].in ) {
+        if ( _comp(prio, _data[i].prio) ) decrease(item, prio);
+        if ( _comp(_data[i].prio, prio) ) increase(item, prio);
+      } else push(item, prio);
+    }
+
+    /// \brief Decrease the priority of an item to the given value.
+    ///
+    /// This function decreases the priority of an item to the given value.
+    /// \param item The item.
+    /// \param prio The priority.
+    /// \pre \e item must be stored in the heap with priority at least \e prio.
+    void decrease (const Item& item, const Prio& prio) {
+      int i=_iim[item];
+      _data[i].prio=prio;
       int p=_data[i].parent;
 
-      if ( p!=-1 && _comp(value, _data[p].prio) ) {
+      if ( p!=-1 && _comp(prio, _data[p].prio) ) {
         cut(i,p);
         cascade(p);
       }
-      if ( _comp(value, _data[_minimum].prio) ) _minimum=i;
+      if ( _comp(prio, _data[_minimum].prio) ) _minimum=i;
     }
 
-    /// \brief Increases the priority of \c item to \c value.
+    /// \brief Increase the priority of an item to the given value.
     ///
-    /// This method sets the priority of \c item to \c value. Though
-    /// there is no precondition on the priority of \c item, this
-    /// method should be used only if it is indeed necessary to increase
-    /// (relative to \c Compare) the priority of \c item, because this
-    /// method is inefficient.
-    void increase (Item item, const Prio& value) {
+    /// This function increases the priority of an item to the given value.
+    /// \param item The item.
+    /// \param prio The priority.
+    /// \pre \e item must be stored in the heap with priority at most \e prio.
+    void increase (const Item& item, const Prio& prio) {
       erase(item);
-      push(item, value);
+      push(item, prio);
     }
 
-
-    /// \brief Returns if \c item is in, has already been in, or has never
-    /// been in the heap.
+    /// \brief Return the state of an item.
     ///
-    /// This method returns PRE_HEAP if \c item has never been in the
-    /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
-    /// otherwise. In the latter case it is possible that \c item will
-    /// get back to the heap again.
+    /// This method returns \c PRE_HEAP if the given item has never
+    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
+    /// and \c POST_HEAP otherwise.
+    /// In the latter case it is possible that the item will get back
+    /// to the heap again.
+    /// \param item The item.
     State state(const Item &item) const {
       int i=_iim[item];
       if( i>=0 ) {
@@ -298,11 +305,11 @@
       return State(i);
     }
 
-    /// \brief Sets the state of the \c item in the heap.
+    /// \brief Set the state of an item in the heap.
     ///
-    /// Sets the state of the \c item in the heap. It can be used to
-    /// manually clear the heap when it is important to achive the
-    /// better time _complexity.
+    /// This function sets the state of the given item in the heap.
+    /// It can be used to manually clear the heap when it is important
+    /// to achive better time complexity.
     /// \param i The item.
     /// \param st The state. It should not be \c IN_HEAP.
     void state(const Item& i, State st) {
@@ -365,7 +372,7 @@
       } while ( s != m );
     }
 
-    void makeroot(int c) {
+    void makeRoot(int c) {
       int s=c;
       do {
         _data[s].parent=-1;
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/fourary_heap.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/fourary_heap.h	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,342 @@
+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2009
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_FOURARY_HEAP_H
+#define LEMON_FOURARY_HEAP_H
+
+///\ingroup heaps
+///\file
+///\brief Fourary heap implementation.
+
+#include <vector>
+#include <utility>
+#include <functional>
+
+namespace lemon {
+
+  /// \ingroup heaps
+  ///
+  ///\brief Fourary heap data structure.
+  ///
+  /// This class implements the \e fourary \e heap data structure.
+  /// It fully conforms to the \ref concepts::Heap "heap concept".
+  ///
+  /// The fourary heap is a specialization of the \ref KaryHeap "K-ary heap"
+  /// for <tt>K=4</tt>. It is similar to the \ref BinHeap "binary heap",
+  /// but its nodes have at most four children, instead of two.
+  ///
+  /// \tparam PR Type of the priorities of the items.
+  /// \tparam IM A read-writable item map with \c int values, used
+  /// internally to handle the cross references.
+  /// \tparam CMP A functor class for comparing the priorities.
+  /// The default is \c std::less<PR>.
+  ///
+  ///\sa BinHeap
+  ///\sa KaryHeap
+#ifdef DOXYGEN
+  template <typename PR, typename IM, typename CMP>
+#else
+  template <typename PR, typename IM, typename CMP = std::less<PR> >
+#endif
+  class FouraryHeap {
+  public:
+    /// Type of the item-int map.
+    typedef IM ItemIntMap;
+    /// Type of the priorities.
+    typedef PR Prio;
+    /// Type of the items stored in the heap.
+    typedef typename ItemIntMap::Key Item;
+    /// Type of the item-priority pairs.
+    typedef std::pair<Item,Prio> Pair;
+    /// Functor type for comparing the priorities.
+    typedef CMP Compare;
+
+    /// \brief Type to represent the states of the items.
+    ///
+    /// Each item has a state associated to it. It can be "in heap",
+    /// "pre-heap" or "post-heap". The latter two are indifferent from the
+    /// heap's point of view, but may be useful to the user.
+    ///
+    /// The item-int map must be initialized in such way that it assigns
+    /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
+    enum State {
+      IN_HEAP = 0,    ///< = 0.
+      PRE_HEAP = -1,  ///< = -1.
+      POST_HEAP = -2  ///< = -2.
+    };
+
+  private:
+    std::vector<Pair> _data;
+    Compare _comp;
+    ItemIntMap &_iim;
+
+  public:
+    /// \brief Constructor.
+    ///
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    explicit FouraryHeap(ItemIntMap &map) : _iim(map) {}
+
+    /// \brief Constructor.
+    ///
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    /// \param comp The function object used for comparing the priorities.
+    FouraryHeap(ItemIntMap &map, const Compare &comp)
+      : _iim(map), _comp(comp) {}
+
+    /// \brief The number of items stored in the heap.
+    ///
+    /// This function returns the number of items stored in the heap.
+    int size() const { return _data.size(); }
+
+    /// \brief Check if the heap is empty.
+    ///
+    /// This function returns \c true if the heap is empty.
+    bool empty() const { return _data.empty(); }
+
+    /// \brief Make the heap empty.
+    ///
+    /// This functon makes the heap empty.
+    /// It does not change the cross reference map. If you want to reuse
+    /// a heap that is not surely empty, you should first clear it and
+    /// then you should set the cross reference map to \c PRE_HEAP
+    /// for each item.
+    void clear() { _data.clear(); }
+
+  private:
+    static int parent(int i) { return (i-1)/4; }
+    static int firstChild(int i) { return 4*i+1; }
+
+    bool less(const Pair &p1, const Pair &p2) const {
+      return _comp(p1.second, p2.second);
+    }
+
+    void bubbleUp(int hole, Pair p) {
+      int par = parent(hole);
+      while( hole>0 && less(p,_data[par]) ) {
+        move(_data[par],hole);
+        hole = par;
+        par = parent(hole);
+      }
+      move(p, hole);
+    }
+
+    void bubbleDown(int hole, Pair p, int length) {
+      if( length>1 ) {
+        int child = firstChild(hole);
+        while( child+3<length ) {
+          int min=child;
+          if( less(_data[++child], _data[min]) ) min=child;
+          if( less(_data[++child], _data[min]) ) min=child;
+          if( less(_data[++child], _data[min]) ) min=child;
+          if( !less(_data[min], p) )
+            goto ok;
+          move(_data[min], hole);
+          hole = min;
+          child = firstChild(hole);
+        }
+        if ( child<length ) {
+          int min = child;
+          if( ++child<length && less(_data[child], _data[min]) ) min=child;
+          if( ++child<length && less(_data[child], _data[min]) ) min=child;
+          if( less(_data[min], p) ) {
+            move(_data[min], hole);
+            hole = min;
+          }
+        }
+      }
+    ok:
+      move(p, hole);
+    }
+
+    void move(const Pair &p, int i) {
+      _data[i] = p;
+      _iim.set(p.first, i);
+    }
+
+  public:
+    /// \brief Insert a pair of item and priority into the heap.
+    ///
+    /// This function inserts \c p.first to the heap with priority
+    /// \c p.second.
+    /// \param p The pair to insert.
+    /// \pre \c p.first must not be stored in the heap.
+    void push(const Pair &p) {
+      int n = _data.size();
+      _data.resize(n+1);
+      bubbleUp(n, p);
+    }
+
+    /// \brief Insert an item into the heap with the given priority.
+    ///
+    /// This function inserts the given item into the heap with the
+    /// given priority.
+    /// \param i The item to insert.
+    /// \param p The priority of the item.
+    /// \pre \e i must not be stored in the heap.
+    void push(const Item &i, const Prio &p) { push(Pair(i,p)); }
+
+    /// \brief Return the item having minimum priority.
+    ///
+    /// This function returns the item having minimum priority.
+    /// \pre The heap must be non-empty.
+    Item top() const { return _data[0].first; }
+
+    /// \brief The minimum priority.
+    ///
+    /// This function returns the minimum priority.
+    /// \pre The heap must be non-empty.
+    Prio prio() const { return _data[0].second; }
+
+    /// \brief Remove the item having minimum priority.
+    ///
+    /// This function removes the item having minimum priority.
+    /// \pre The heap must be non-empty.
+    void pop() {
+      int n = _data.size()-1;
+      _iim.set(_data[0].first, POST_HEAP);
+      if (n>0) bubbleDown(0, _data[n], n);
+      _data.pop_back();
+    }
+
+    /// \brief Remove the given item from the heap.
+    ///
+    /// This function removes the given item from the heap if it is
+    /// already stored.
+    /// \param i The item to delete.
+    /// \pre \e i must be in the heap.
+    void erase(const Item &i) {
+      int h = _iim[i];
+      int n = _data.size()-1;
+      _iim.set(_data[h].first, POST_HEAP);
+      if( h<n ) {
+        if( less(_data[parent(h)], _data[n]) )
+          bubbleDown(h, _data[n], n);
+        else
+          bubbleUp(h, _data[n]);
+      }
+      _data.pop_back();
+    }
+
+    /// \brief The priority of the given item.
+    ///
+    /// This function returns the priority of the given item.
+    /// \param i The item.
+    /// \pre \e i must be in the heap.
+    Prio operator[](const Item &i) const {
+      int idx = _iim[i];
+      return _data[idx].second;
+    }
+
+    /// \brief Set the priority of an item or insert it, if it is
+    /// not stored in the heap.
+    ///
+    /// This method sets the priority of the given item if it is
+    /// already stored in the heap. Otherwise it inserts the given
+    /// item into the heap with the given priority.
+    /// \param i The item.
+    /// \param p The priority.
+    void set(const Item &i, const Prio &p) {
+      int idx = _iim[i];
+      if( idx < 0 )
+        push(i,p);
+      else if( _comp(p, _data[idx].second) )
+        bubbleUp(idx, Pair(i,p));
+      else
+        bubbleDown(idx, Pair(i,p), _data.size());
+    }
+
+    /// \brief Decrease the priority of an item to the given value.
+    ///
+    /// This function decreases the priority of an item to the given value.
+    /// \param i The item.
+    /// \param p The priority.
+    /// \pre \e i must be stored in the heap with priority at least \e p.
+    void decrease(const Item &i, const Prio &p) {
+      int idx = _iim[i];
+      bubbleUp(idx, Pair(i,p));
+    }
+
+    /// \brief Increase the priority of an item to the given value.
+    ///
+    /// This function increases the priority of an item to the given value.
+    /// \param i The item.
+    /// \param p The priority.
+    /// \pre \e i must be stored in the heap with priority at most \e p.
+    void increase(const Item &i, const Prio &p) {
+      int idx = _iim[i];
+      bubbleDown(idx, Pair(i,p), _data.size());
+    }
+
+    /// \brief Return the state of an item.
+    ///
+    /// This method returns \c PRE_HEAP if the given item has never
+    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
+    /// and \c POST_HEAP otherwise.
+    /// In the latter case it is possible that the item will get back
+    /// to the heap again.
+    /// \param i The item.
+    State state(const Item &i) const {
+      int s = _iim[i];
+      if (s>=0) s=0;
+      return State(s);
+    }
+
+    /// \brief Set the state of an item in the heap.
+    ///
+    /// This function sets the state of the given item in the heap.
+    /// It can be used to manually clear the heap when it is important
+    /// to achive better time complexity.
+    /// \param i The item.
+    /// \param st The state. It should not be \c IN_HEAP.
+    void state(const Item& i, State st) {
+      switch (st) {
+        case POST_HEAP:
+        case PRE_HEAP:
+          if (state(i) == IN_HEAP) erase(i);
+          _iim[i] = st;
+          break;
+        case IN_HEAP:
+          break;
+      }
+    }
+
+    /// \brief Replace an item in the heap.
+    ///
+    /// This function replaces item \c i with item \c j.
+    /// Item \c i must be in the heap, while \c j must be out of the heap.
+    /// After calling this method, item \c i will be out of the
+    /// heap and \c j will be in the heap with the same prioriority
+    /// as item \c i had before.
+    void replace(const Item& i, const Item& j) {
+      int idx = _iim[i];
+      _iim.set(i, _iim[j]);
+      _iim.set(j, idx);
+      _data[idx].first = j;
+    }
+
+  }; // class FouraryHeap
+
+} // namespace lemon
+
+#endif // LEMON_FOURARY_HEAP_H
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/full_graph.h
--- a/lemon/full_graph.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/full_graph.h	Thu Dec 10 17:18:25 2009 +0100
@@ -24,7 +24,7 @@
 
 ///\ingroup graphs
 ///\file
-///\brief FullGraph and FullDigraph classes.
+///\brief FullDigraph and FullGraph classes.
 
 namespace lemon {
 
@@ -51,7 +51,7 @@
     typedef True ArcNumTag;
 
     Node operator()(int ix) const { return Node(ix); }
-    int index(const Node& node) const { return node._id; }
+    static int index(const Node& node) { return node._id; }
 
     Arc arc(const Node& s, const Node& t) const {
       return Arc(s._id * _node_num + t._id);
@@ -148,24 +148,28 @@
 
   /// \ingroup graphs
   ///
-  /// \brief A full digraph class.
+  /// \brief A directed full graph class.
   ///
-  /// This is a simple and fast directed full graph implementation.
-  /// From each node go arcs to each node (including the source node),
-  /// therefore the number of the arcs in the digraph is the square of
-  /// the node number. This digraph type is completely static, so you
-  /// can neither add nor delete either arcs or nodes, and it needs
-  /// constant space in memory.
+  /// FullDigraph is a simple and fast implmenetation of directed full
+  /// (complete) graphs. It contains an arc from each node to each node
+  /// (including a loop for each node), therefore the number of arcs
+  /// is the square of the number of nodes.
+  /// This class is completely static and it needs constant memory space.
+  /// Thus you can neither add nor delete nodes or arcs, however
+  /// the structure can be resized using resize().
   ///
-  /// This class fully conforms to the \ref concepts::Digraph
-  /// "Digraph concept".
+  /// This type fully conforms to the \ref concepts::Digraph "Digraph concept".
+  /// Most of its member functions and nested classes are documented
+  /// only in the concept class.
   ///
-  /// The \c FullDigraph and \c FullGraph classes are very similar,
+  /// This class provides constant time counting for nodes and arcs.
+  ///
+  /// \note FullDigraph and FullGraph classes are very similar,
   /// but there are two differences. While this class conforms only
-  /// to the \ref concepts::Digraph "Digraph" concept, the \c FullGraph
-  /// class conforms to the \ref concepts::Graph "Graph" concept,
-  /// moreover \c FullGraph does not contain a loop arc for each
-  /// node as \c FullDigraph does.
+  /// to the \ref concepts::Digraph "Digraph" concept, FullGraph
+  /// conforms to the \ref concepts::Graph "Graph" concept,
+  /// moreover FullGraph does not contain a loop for each
+  /// node as this class does.
   ///
   /// \sa FullGraph
   class FullDigraph : public ExtendedFullDigraphBase {
@@ -173,7 +177,9 @@
 
   public:
 
-    /// \brief Constructor
+    /// \brief Default constructor.
+    ///
+    /// Default constructor. The number of nodes and arcs will be zero.
     FullDigraph() { construct(0); }
 
     /// \brief Constructor
@@ -184,8 +190,8 @@
 
     /// \brief Resizes the digraph
     ///
-    /// Resizes the digraph. The function will fully destroy and
-    /// rebuild the digraph. This cause that the maps of the digraph will
+    /// This function resizes the digraph. It fully destroys and
+    /// rebuilds the structure, therefore the maps of the digraph will be
     /// reallocated automatically and the previous values will be lost.
     void resize(int n) {
       Parent::notifier(Arc()).clear();
@@ -197,24 +203,26 @@
 
     /// \brief Returns the node with the given index.
     ///
-    /// Returns the node with the given index. Since it is a static
-    /// digraph its nodes can be indexed with integers from the range
-    /// <tt>[0..nodeNum()-1]</tt>.
+    /// Returns the node with the given index. Since this structure is 
+    /// completely static, the nodes can be indexed with integers from
+    /// the range <tt>[0..nodeNum()-1]</tt>.
+    /// The index of a node is the same as its ID.
     /// \sa index()
     Node operator()(int ix) const { return Parent::operator()(ix); }
 
     /// \brief Returns the index of the given node.
     ///
-    /// Returns the index of the given node. Since it is a static
-    /// digraph its nodes can be indexed with integers from the range
-    /// <tt>[0..nodeNum()-1]</tt>.
-    /// \sa operator()
-    int index(const Node& node) const { return Parent::index(node); }
+    /// Returns the index of the given node. Since this structure is 
+    /// completely static, the nodes can be indexed with integers from
+    /// the range <tt>[0..nodeNum()-1]</tt>.
+    /// The index of a node is the same as its ID.
+    /// \sa operator()()
+    static int index(const Node& node) { return Parent::index(node); }
 
     /// \brief Returns the arc connecting the given nodes.
     ///
     /// Returns the arc connecting the given nodes.
-    Arc arc(const Node& u, const Node& v) const {
+    Arc arc(Node u, Node v) const {
       return Parent::arc(u, v);
     }
 
@@ -283,7 +291,7 @@
   public:
 
     Node operator()(int ix) const { return Node(ix); }
-    int index(const Node& node) const { return node._id; }
+    static int index(const Node& node) { return node._id; }
 
     Edge edge(const Node& u, const Node& v) const {
       if (u._id < v._id) {
@@ -520,21 +528,25 @@
   ///
   /// \brief An undirected full graph class.
   ///
-  /// This is a simple and fast undirected full graph
-  /// implementation. From each node go edge to each other node,
-  /// therefore the number of edges in the graph is \f$n(n-1)/2\f$.
-  /// This graph type is completely static, so you can neither
-  /// add nor delete either edges or nodes, and it needs constant
-  /// space in memory.
+  /// FullGraph is a simple and fast implmenetation of undirected full
+  /// (complete) graphs. It contains an edge between every distinct pair
+  /// of nodes, therefore the number of edges is <tt>n(n-1)/2</tt>.
+  /// This class is completely static and it needs constant memory space.
+  /// Thus you can neither add nor delete nodes or edges, however
+  /// the structure can be resized using resize().
   ///
-  /// This class fully conforms to the \ref concepts::Graph "Graph concept".
+  /// This type fully conforms to the \ref concepts::Graph "Graph concept".
+  /// Most of its member functions and nested classes are documented
+  /// only in the concept class.
   ///
-  /// The \c FullGraph and \c FullDigraph classes are very similar,
-  /// but there are two differences. While the \c FullDigraph class
+  /// This class provides constant time counting for nodes, edges and arcs.
+  ///
+  /// \note FullDigraph and FullGraph classes are very similar,
+  /// but there are two differences. While FullDigraph
   /// conforms only to the \ref concepts::Digraph "Digraph" concept,
   /// this class conforms to the \ref concepts::Graph "Graph" concept,
-  /// moreover \c FullGraph does not contain a loop arc for each
-  /// node as \c FullDigraph does.
+  /// moreover this class does not contain a loop for each
+  /// node as FullDigraph does.
   ///
   /// \sa FullDigraph
   class FullGraph : public ExtendedFullGraphBase {
@@ -542,7 +554,9 @@
 
   public:
 
-    /// \brief Constructor
+    /// \brief Default constructor.
+    ///
+    /// Default constructor. The number of nodes and edges will be zero.
     FullGraph() { construct(0); }
 
     /// \brief Constructor
@@ -553,8 +567,8 @@
 
     /// \brief Resizes the graph
     ///
-    /// Resizes the graph. The function will fully destroy and
-    /// rebuild the graph. This cause that the maps of the graph will
+    /// This function resizes the graph. It fully destroys and
+    /// rebuilds the structure, therefore the maps of the graph will be
     /// reallocated automatically and the previous values will be lost.
     void resize(int n) {
       Parent::notifier(Arc()).clear();
@@ -568,31 +582,33 @@
 
     /// \brief Returns the node with the given index.
     ///
-    /// Returns the node with the given index. Since it is a static
-    /// graph its nodes can be indexed with integers from the range
-    /// <tt>[0..nodeNum()-1]</tt>.
+    /// Returns the node with the given index. Since this structure is 
+    /// completely static, the nodes can be indexed with integers from
+    /// the range <tt>[0..nodeNum()-1]</tt>.
+    /// The index of a node is the same as its ID.
     /// \sa index()
     Node operator()(int ix) const { return Parent::operator()(ix); }
 
     /// \brief Returns the index of the given node.
     ///
-    /// Returns the index of the given node. Since it is a static
-    /// graph its nodes can be indexed with integers from the range
-    /// <tt>[0..nodeNum()-1]</tt>.
-    /// \sa operator()
-    int index(const Node& node) const { return Parent::index(node); }
+    /// Returns the index of the given node. Since this structure is 
+    /// completely static, the nodes can be indexed with integers from
+    /// the range <tt>[0..nodeNum()-1]</tt>.
+    /// The index of a node is the same as its ID.
+    /// \sa operator()()
+    static int index(const Node& node) { return Parent::index(node); }
 
     /// \brief Returns the arc connecting the given nodes.
     ///
     /// Returns the arc connecting the given nodes.
-    Arc arc(const Node& s, const Node& t) const {
+    Arc arc(Node s, Node t) const {
       return Parent::arc(s, t);
     }
 
-    /// \brief Returns the edge connects the given nodes.
+    /// \brief Returns the edge connecting the given nodes.
     ///
-    /// Returns the edge connects the given nodes.
-    Edge edge(const Node& u, const Node& v) const {
+    /// Returns the edge connecting the given nodes.
+    Edge edge(Node u, Node v) const {
       return Parent::edge(u, v);
     }
 
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/glpk.cc
--- a/lemon/glpk.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/glpk.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -59,6 +59,42 @@
     return i;
   }
 
+  int GlpkBase::_addRow(Value lo, ExprIterator b, 
+                        ExprIterator e, Value up) {
+    int i = glp_add_rows(lp, 1);
+
+    if (lo == -INF) {
+      if (up == INF) {
+        glp_set_row_bnds(lp, i, GLP_FR, lo, up);
+      } else {
+        glp_set_row_bnds(lp, i, GLP_UP, lo, up);
+      }    
+    } else {
+      if (up == INF) {
+        glp_set_row_bnds(lp, i, GLP_LO, lo, up);
+      } else if (lo != up) {        
+        glp_set_row_bnds(lp, i, GLP_DB, lo, up);
+      } else {
+        glp_set_row_bnds(lp, i, GLP_FX, lo, up);
+      }
+    }
+
+    std::vector<int> indexes;
+    std::vector<Value> values;
+
+    indexes.push_back(0);
+    values.push_back(0);
+
+    for(ExprIterator it = b; it != e; ++it) {
+      indexes.push_back(it->first);
+      values.push_back(it->second);
+    }
+
+    glp_set_mat_row(lp, i, values.size() - 1,
+                    &indexes.front(), &values.front());
+    return i;
+  }
+
   void GlpkBase::_eraseCol(int i) {
     int ca[2];
     ca[1] = i;
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/glpk.h
--- a/lemon/glpk.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/glpk.h	Thu Dec 10 17:18:25 2009 +0100
@@ -54,6 +54,7 @@
 
     virtual int _addCol();
     virtual int _addRow();
+    virtual int _addRow(Value l, ExprIterator b, ExprIterator e, Value u);
 
     virtual void _eraseCol(int i);
     virtual void _eraseRow(int i);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/gomory_hu.h
--- a/lemon/gomory_hu.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/gomory_hu.h	Thu Dec 10 17:18:25 2009 +0100
@@ -294,11 +294,9 @@
     ///
     /// \pre \ref run() must be called before using this function.
     template <typename CutMap>
-    Value minCutMap(const Node& s, ///< 
+    Value minCutMap(const Node& s,
                     const Node& t,
-                    ///< 
                     CutMap& cutMap
-                    ///< 
                     ) const {
       Node sn = s, tn = t;
       bool s_root=false;
@@ -359,10 +357,10 @@
     /// This example counts the nodes in the minimum cut separating \c s from
     /// \c t.
     /// \code
-    /// GomoruHu<Graph> gom(g, capacities);
+    /// GomoryHu<Graph> gom(g, capacities);
     /// gom.run();
     /// int cnt=0;
-    /// for(GomoruHu<Graph>::MinCutNodeIt n(gom,s,t); n!=INVALID; ++n) ++cnt;
+    /// for(GomoryHu<Graph>::MinCutNodeIt n(gom,s,t); n!=INVALID; ++n) ++cnt;
     /// \endcode
     class MinCutNodeIt
     {
@@ -394,7 +392,7 @@
                    /// MinCutNodeIt(gomory, t, s, false);
                    /// \endcode
                    /// does not necessarily give the same set of nodes.
-                   /// However it is ensured that
+                   /// However, it is ensured that
                    /// \code
                    /// MinCutNodeIt(gomory, s, t, true);
                    /// \endcode
@@ -456,10 +454,10 @@
     /// This example computes the value of the minimum cut separating \c s from
     /// \c t.
     /// \code
-    /// GomoruHu<Graph> gom(g, capacities);
+    /// GomoryHu<Graph> gom(g, capacities);
     /// gom.run();
     /// int value=0;
-    /// for(GomoruHu<Graph>::MinCutEdgeIt e(gom,s,t); e!=INVALID; ++e)
+    /// for(GomoryHu<Graph>::MinCutEdgeIt e(gom,s,t); e!=INVALID; ++e)
     ///   value+=capacities[e];
     /// \endcode
     /// The result will be the same as the value returned by
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/graph_to_eps.h
--- a/lemon/graph_to_eps.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/graph_to_eps.h	Thu Dec 10 17:18:25 2009 +0100
@@ -142,7 +142,7 @@
   ///Constructor
   ///\param gr  Reference to the graph to be printed.
   ///\param ost Reference to the output stream.
-  ///By default it is <tt>std::cout</tt>.
+  ///By default, it is <tt>std::cout</tt>.
   ///\param pros If it is \c true, then the \c ostream referenced by \c os
   ///will be explicitly deallocated by the destructor.
   DefaultGraphToEpsTraits(const GR &gr, std::ostream& ost = std::cout,
@@ -512,7 +512,7 @@
 
   ///Turn on/off pre-scaling
 
-  ///By default graphToEps() rescales the whole image in order to avoid
+  ///By default, graphToEps() rescales the whole image in order to avoid
   ///very big or very small bounding boxes.
   ///
   ///This (p)rescaling can be turned off with this function.
@@ -1114,7 +1114,7 @@
 ///Generates an EPS file from a graph.
 ///\param g Reference to the graph to be printed.
 ///\param os Reference to the output stream.
-///By default it is <tt>std::cout</tt>.
+///By default, it is <tt>std::cout</tt>.
 ///
 ///This function also has a lot of
 ///\ref named-templ-func-param "named parameters",
@@ -1126,7 +1126,7 @@
 ///              .arcWidthScale(.4).run();
 ///\endcode
 ///
-///For more detailed examples see the \ref graph_to_eps_demo.cc demo file.
+///For more detailed examples, see the \ref graph_to_eps_demo.cc demo file.
 ///
 ///\warning Don't forget to put the \ref GraphToEps::run() "run()"
 ///to the end of the parameter list.
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/grid_graph.h
--- a/lemon/grid_graph.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/grid_graph.h	Thu Dec 10 17:18:25 2009 +0100
@@ -470,18 +470,22 @@
   ///
   /// \brief Grid graph class
   ///
-  /// This class implements a special graph type. The nodes of the
-  /// graph can be indexed by two integer \c (i,j) value where \c i is
-  /// in the \c [0..width()-1] range and j is in the \c
-  /// [0..height()-1] range.  Two nodes are connected in the graph if
-  /// the indexes differ exactly on one position and exactly one is
-  /// the difference. The nodes of the graph can be indexed by position
-  /// with the \c operator()() function. The positions of the nodes can be
-  /// get with \c pos(), \c col() and \c row() members. The outgoing
+  /// GridGraph implements a special graph type. The nodes of the
+  /// graph can be indexed by two integer values \c (i,j) where \c i is
+  /// in the range <tt>[0..width()-1]</tt> and j is in the range
+  /// <tt>[0..height()-1]</tt>. Two nodes are connected in the graph if
+  /// the indices differ exactly on one position and the difference is
+  /// also exactly one. The nodes of the graph can be obtained by position
+  /// using the \c operator()() function and the indices of the nodes can
+  /// be obtained using \c pos(), \c col() and \c row() members. The outgoing
   /// arcs can be retrieved with the \c right(), \c up(), \c left()
   /// and \c down() functions, where the bottom-left corner is the
   /// origin.
   ///
+  /// This class is completely static and it needs constant memory space.
+  /// Thus you can neither add nor delete nodes or edges, however
+  /// the structure can be resized using resize().
+  ///
   /// \image html grid_graph.png
   /// \image latex grid_graph.eps "Grid graph" width=\textwidth
   ///
@@ -496,16 +500,21 @@
   /// }
   ///\endcode
   ///
-  /// This graph type fully conforms to the \ref concepts::Graph
-  /// "Graph concept".
+  /// This type fully conforms to the \ref concepts::Graph "Graph concept".
+  /// Most of its member functions and nested classes are documented
+  /// only in the concept class.
+  ///
+  /// This class provides constant time counting for nodes, edges and arcs.
   class GridGraph : public ExtendedGridGraphBase {
     typedef ExtendedGridGraphBase Parent;
 
   public:
 
-    /// \brief Map to get the indices of the nodes as dim2::Point<int>.
+    /// \brief Map to get the indices of the nodes as \ref dim2::Point
+    /// "dim2::Point<int>".
     ///
-    /// Map to get the indices of the nodes as dim2::Point<int>.
+    /// Map to get the indices of the nodes as \ref dim2::Point
+    /// "dim2::Point<int>".
     class IndexMap {
     public:
       /// \brief The key type of the map
@@ -514,13 +523,9 @@
       typedef dim2::Point<int> Value;
 
       /// \brief Constructor
-      ///
-      /// Constructor
       IndexMap(const GridGraph& graph) : _graph(graph) {}
 
       /// \brief The subscript operator
-      ///
-      /// The subscript operator.
       Value operator[](Key key) const {
         return _graph.pos(key);
       }
@@ -540,13 +545,9 @@
       typedef int Value;
 
       /// \brief Constructor
-      ///
-      /// Constructor
       ColMap(const GridGraph& graph) : _graph(graph) {}
 
       /// \brief The subscript operator
-      ///
-      /// The subscript operator.
       Value operator[](Key key) const {
         return _graph.col(key);
       }
@@ -566,13 +567,9 @@
       typedef int Value;
 
       /// \brief Constructor
-      ///
-      /// Constructor
       RowMap(const GridGraph& graph) : _graph(graph) {}
 
       /// \brief The subscript operator
-      ///
-      /// The subscript operator.
       Value operator[](Key key) const {
         return _graph.row(key);
       }
@@ -583,15 +580,14 @@
 
     /// \brief Constructor
     ///
-    /// Construct a grid graph with given size.
+    /// Construct a grid graph with the given size.
     GridGraph(int width, int height) { construct(width, height); }
 
-    /// \brief Resize the graph
+    /// \brief Resizes the graph
     ///
-    /// Resize the graph. The function will fully destroy and rebuild
-    /// the graph.  This cause that the maps of the graph will
-    /// reallocated automatically and the previous values will be
-    /// lost.
+    /// This function resizes the graph. It fully destroys and
+    /// rebuilds the structure, therefore the maps of the graph will be
+    /// reallocated automatically and the previous values will be lost.
     void resize(int width, int height) {
       Parent::notifier(Arc()).clear();
       Parent::notifier(Edge()).clear();
@@ -609,42 +605,42 @@
       return Parent::operator()(i, j);
     }
 
-    /// \brief Gives back the column index of the node.
+    /// \brief The column index of the node.
     ///
     /// Gives back the column index of the node.
     int col(Node n) const {
       return Parent::col(n);
     }
 
-    /// \brief Gives back the row index of the node.
+    /// \brief The row index of the node.
     ///
     /// Gives back the row index of the node.
     int row(Node n) const {
       return Parent::row(n);
     }
 
-    /// \brief Gives back the position of the node.
+    /// \brief The position of the node.
     ///
     /// Gives back the position of the node, ie. the <tt>(col,row)</tt> pair.
     dim2::Point<int> pos(Node n) const {
       return Parent::pos(n);
     }
 
-    /// \brief Gives back the number of the columns.
+    /// \brief The number of the columns.
     ///
     /// Gives back the number of the columns.
     int width() const {
       return Parent::width();
     }
 
-    /// \brief Gives back the number of the rows.
+    /// \brief The number of the rows.
     ///
     /// Gives back the number of the rows.
     int height() const {
       return Parent::height();
     }
 
-    /// \brief Gives back the arc goes right from the node.
+    /// \brief The arc goes right from the node.
     ///
     /// Gives back the arc goes right from the node. If there is not
     /// outgoing arc then it gives back INVALID.
@@ -652,7 +648,7 @@
       return Parent::right(n);
     }
 
-    /// \brief Gives back the arc goes left from the node.
+    /// \brief The arc goes left from the node.
     ///
     /// Gives back the arc goes left from the node. If there is not
     /// outgoing arc then it gives back INVALID.
@@ -660,7 +656,7 @@
       return Parent::left(n);
     }
 
-    /// \brief Gives back the arc goes up from the node.
+    /// \brief The arc goes up from the node.
     ///
     /// Gives back the arc goes up from the node. If there is not
     /// outgoing arc then it gives back INVALID.
@@ -668,7 +664,7 @@
       return Parent::up(n);
     }
 
-    /// \brief Gives back the arc goes down from the node.
+    /// \brief The arc goes down from the node.
     ///
     /// Gives back the arc goes down from the node. If there is not
     /// outgoing arc then it gives back INVALID.
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/hartmann_orlin.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/hartmann_orlin.h	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,642 @@
+/* -*- C++ -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library
+ *
+ * Copyright (C) 2003-2008
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_HARTMANN_ORLIN_H
+#define LEMON_HARTMANN_ORLIN_H
+
+/// \ingroup min_mean_cycle
+///
+/// \file
+/// \brief Hartmann-Orlin's algorithm for finding a minimum mean cycle.
+
+#include <vector>
+#include <limits>
+#include <lemon/core.h>
+#include <lemon/path.h>
+#include <lemon/tolerance.h>
+#include <lemon/connectivity.h>
+
+namespace lemon {
+
+  /// \brief Default traits class of HartmannOrlin algorithm.
+  ///
+  /// Default traits class of HartmannOrlin algorithm.
+  /// \tparam GR The type of the digraph.
+  /// \tparam LEN The type of the length map.
+  /// It must conform to the \ref concepts::Rea_data "Rea_data" concept.
+#ifdef DOXYGEN
+  template <typename GR, typename LEN>
+#else
+  template <typename GR, typename LEN,
+    bool integer = std::numeric_limits<typename LEN::Value>::is_integer>
+#endif
+  struct HartmannOrlinDefaultTraits
+  {
+    /// The type of the digraph
+    typedef GR Digraph;
+    /// The type of the length map
+    typedef LEN LengthMap;
+    /// The type of the arc lengths
+    typedef typename LengthMap::Value Value;
+
+    /// \brief The large value type used for internal computations
+    ///
+    /// The large value type used for internal computations.
+    /// It is \c long \c long if the \c Value type is integer,
+    /// otherwise it is \c double.
+    /// \c Value must be convertible to \c LargeValue.
+    typedef double LargeValue;
+
+    /// The tolerance type used for internal computations
+    typedef lemon::Tolerance<LargeValue> Tolerance;
+
+    /// \brief The path type of the found cycles
+    ///
+    /// The path type of the found cycles.
+    /// It must conform to the \ref lemon::concepts::Path "Path" concept
+    /// and it must have an \c addFront() function.
+    typedef lemon::Path<Digraph> Path;
+  };
+
+  // Default traits class for integer value types
+  template <typename GR, typename LEN>
+  struct HartmannOrlinDefaultTraits<GR, LEN, true>
+  {
+    typedef GR Digraph;
+    typedef LEN LengthMap;
+    typedef typename LengthMap::Value Value;
+#ifdef LEMON_HAVE_LONG_LONG
+    typedef long long LargeValue;
+#else
+    typedef long LargeValue;
+#endif
+    typedef lemon::Tolerance<LargeValue> Tolerance;
+    typedef lemon::Path<Digraph> Path;
+  };
+
+
+  /// \addtogroup min_mean_cycle
+  /// @{
+
+  /// \brief Implementation of the Hartmann-Orlin algorithm for finding
+  /// a minimum mean cycle.
+  ///
+  /// This class implements the Hartmann-Orlin algorithm for finding
+  /// a directed cycle of minimum mean length (cost) in a digraph
+  /// \ref amo93networkflows, \ref dasdan98minmeancycle.
+  /// It is an improved version of \ref Karp "Karp"'s original algorithm,
+  /// it applies an efficient early termination scheme.
+  /// It runs in time O(ne) and uses space O(n<sup>2</sup>+e).
+  ///
+  /// \tparam GR The type of the digraph the algorithm runs on.
+  /// \tparam LEN The type of the length map. The default
+  /// map type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
+#ifdef DOXYGEN
+  template <typename GR, typename LEN, typename TR>
+#else
+  template < typename GR,
+             typename LEN = typename GR::template ArcMap<int>,
+             typename TR = HartmannOrlinDefaultTraits<GR, LEN> >
+#endif
+  class HartmannOrlin
+  {
+  public:
+
+    /// The type of the digraph
+    typedef typename TR::Digraph Digraph;
+    /// The type of the length map
+    typedef typename TR::LengthMap LengthMap;
+    /// The type of the arc lengths
+    typedef typename TR::Value Value;
+
+    /// \brief The large value type
+    ///
+    /// The large value type used for internal computations.
+    /// Using the \ref HartmannOrlinDefaultTraits "default traits class",
+    /// it is \c long \c long if the \c Value type is integer,
+    /// otherwise it is \c double.
+    typedef typename TR::LargeValue LargeValue;
+
+    /// The tolerance type
+    typedef typename TR::Tolerance Tolerance;
+
+    /// \brief The path type of the found cycles
+    ///
+    /// The path type of the found cycles.
+    /// Using the \ref HartmannOrlinDefaultTraits "default traits class",
+    /// it is \ref lemon::Path "Path<Digraph>".
+    typedef typename TR::Path Path;
+
+    /// The \ref HartmannOrlinDefaultTraits "traits class" of the algorithm
+    typedef TR Traits;
+
+  private:
+
+    TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
+
+    // Data sturcture for path data
+    struct PathData
+    {
+      LargeValue dist;
+      Arc pred;
+      PathData(LargeValue d, Arc p = INVALID) :
+        dist(d), pred(p) {}
+    };
+
+    typedef typename Digraph::template NodeMap<std::vector<PathData> >
+      PathDataNodeMap;
+
+  private:
+
+    // The digraph the algorithm runs on
+    const Digraph &_gr;
+    // The length of the arcs
+    const LengthMap &_length;
+
+    // Data for storing the strongly connected components
+    int _comp_num;
+    typename Digraph::template NodeMap<int> _comp;
+    std::vector<std::vector<Node> > _comp_nodes;
+    std::vector<Node>* _nodes;
+    typename Digraph::template NodeMap<std::vector<Arc> > _out_arcs;
+
+    // Data for the found cycles
+    bool _curr_found, _best_found;
+    LargeValue _curr_length, _best_length;
+    int _curr_size, _best_size;
+    Node _curr_node, _best_node;
+    int _curr_level, _best_level;
+
+    Path *_cycle_path;
+    bool _local_path;
+
+    // Node map for storing path data
+    PathDataNodeMap _data;
+    // The processed nodes in the last round
+    std::vector<Node> _process;
+
+    Tolerance _tolerance;
+
+    // Infinite constant
+    const LargeValue INF;
+
+  public:
+
+    /// \name Named Template Parameters
+    /// @{
+
+    template <typename T>
+    struct SetLargeValueTraits : public Traits {
+      typedef T LargeValue;
+      typedef lemon::Tolerance<T> Tolerance;
+    };
+
+    /// \brief \ref named-templ-param "Named parameter" for setting
+    /// \c LargeValue type.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting \c LargeValue
+    /// type. It is used for internal computations in the algorithm.
+    template <typename T>
+    struct SetLargeValue
+      : public HartmannOrlin<GR, LEN, SetLargeValueTraits<T> > {
+      typedef HartmannOrlin<GR, LEN, SetLargeValueTraits<T> > Create;
+    };
+
+    template <typename T>
+    struct SetPathTraits : public Traits {
+      typedef T Path;
+    };
+
+    /// \brief \ref named-templ-param "Named parameter" for setting
+    /// \c %Path type.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting the \c %Path
+    /// type of the found cycles.
+    /// It must conform to the \ref lemon::concepts::Path "Path" concept
+    /// and it must have an \c addFront() function.
+    template <typename T>
+    struct SetPath
+      : public HartmannOrlin<GR, LEN, SetPathTraits<T> > {
+      typedef HartmannOrlin<GR, LEN, SetPathTraits<T> > Create;
+    };
+
+    /// @}
+
+  public:
+
+    /// \brief Constructor.
+    ///
+    /// The constructor of the class.
+    ///
+    /// \param digraph The digraph the algorithm runs on.
+    /// \param length The lengths (costs) of the arcs.
+    HartmannOrlin( const Digraph &digraph,
+                   const LengthMap &length ) :
+      _gr(digraph), _length(length), _comp(digraph), _out_arcs(digraph),
+      _best_found(false), _best_length(0), _best_size(1),
+      _cycle_path(NULL), _local_path(false), _data(digraph),
+      INF(std::numeric_limits<LargeValue>::has_infinity ?
+          std::numeric_limits<LargeValue>::infinity() :
+          std::numeric_limits<LargeValue>::max())
+    {}
+
+    /// Destructor.
+    ~HartmannOrlin() {
+      if (_local_path) delete _cycle_path;
+    }
+
+    /// \brief Set the path structure for storing the found cycle.
+    ///
+    /// This function sets an external path structure for storing the
+    /// found cycle.
+    ///
+    /// If you don't call this function before calling \ref run() or
+    /// \ref findMinMean(), it will allocate a local \ref Path "path"
+    /// structure. The destuctor deallocates this automatically
+    /// allocated object, of course.
+    ///
+    /// \note The algorithm calls only the \ref lemon::Path::addFront()
+    /// "addFront()" function of the given path structure.
+    ///
+    /// \return <tt>(*this)</tt>
+    HartmannOrlin& cycle(Path &path) {
+      if (_local_path) {
+        delete _cycle_path;
+        _local_path = false;
+      }
+      _cycle_path = &path;
+      return *this;
+    }
+
+    /// \brief Set the tolerance used by the algorithm.
+    ///
+    /// This function sets the tolerance object used by the algorithm.
+    ///
+    /// \return <tt>(*this)</tt>
+    HartmannOrlin& tolerance(const Tolerance& tolerance) {
+      _tolerance = tolerance;
+      return *this;
+    }
+
+    /// \brief Return a const reference to the tolerance.
+    ///
+    /// This function returns a const reference to the tolerance object
+    /// used by the algorithm.
+    const Tolerance& tolerance() const {
+      return _tolerance;
+    }
+
+    /// \name Execution control
+    /// The simplest way to execute the algorithm is to call the \ref run()
+    /// function.\n
+    /// If you only need the minimum mean length, you may call
+    /// \ref findMinMean().
+
+    /// @{
+
+    /// \brief Run the algorithm.
+    ///
+    /// This function runs the algorithm.
+    /// It can be called more than once (e.g. if the underlying digraph
+    /// and/or the arc lengths have been modified).
+    ///
+    /// \return \c true if a directed cycle exists in the digraph.
+    ///
+    /// \note <tt>mmc.run()</tt> is just a shortcut of the following code.
+    /// \code
+    ///   return mmc.findMinMean() && mmc.findCycle();
+    /// \endcode
+    bool run() {
+      return findMinMean() && findCycle();
+    }
+
+    /// \brief Find the minimum cycle mean.
+    ///
+    /// This function finds the minimum mean length of the directed
+    /// cycles in the digraph.
+    ///
+    /// \return \c true if a directed cycle exists in the digraph.
+    bool findMinMean() {
+      // Initialization and find strongly connected components
+      init();
+      findComponents();
+      
+      // Find the minimum cycle mean in the components
+      for (int comp = 0; comp < _comp_num; ++comp) {
+        if (!initComponent(comp)) continue;
+        processRounds();
+        
+        // Update the best cycle (global minimum mean cycle)
+        if ( _curr_found && (!_best_found || 
+             _curr_length * _best_size < _best_length * _curr_size) ) {
+          _best_found = true;
+          _best_length = _curr_length;
+          _best_size = _curr_size;
+          _best_node = _curr_node;
+          _best_level = _curr_level;
+        }
+      }
+      return _best_found;
+    }
+
+    /// \brief Find a minimum mean directed cycle.
+    ///
+    /// This function finds a directed cycle of minimum mean length
+    /// in the digraph using the data computed by findMinMean().
+    ///
+    /// \return \c true if a directed cycle exists in the digraph.
+    ///
+    /// \pre \ref findMinMean() must be called before using this function.
+    bool findCycle() {
+      if (!_best_found) return false;
+      IntNodeMap reached(_gr, -1);
+      int r = _best_level + 1;
+      Node u = _best_node;
+      while (reached[u] < 0) {
+        reached[u] = --r;
+        u = _gr.source(_data[u][r].pred);
+      }
+      r = reached[u];
+      Arc e = _data[u][r].pred;
+      _cycle_path->addFront(e);
+      _best_length = _length[e];
+      _best_size = 1;
+      Node v;
+      while ((v = _gr.source(e)) != u) {
+        e = _data[v][--r].pred;
+        _cycle_path->addFront(e);
+        _best_length += _length[e];
+        ++_best_size;
+      }
+      return true;
+    }
+
+    /// @}
+
+    /// \name Query Functions
+    /// The results of the algorithm can be obtained using these
+    /// functions.\n
+    /// The algorithm should be executed before using them.
+
+    /// @{
+
+    /// \brief Return the total length of the found cycle.
+    ///
+    /// This function returns the total length of the found cycle.
+    ///
+    /// \pre \ref run() or \ref findMinMean() must be called before
+    /// using this function.
+    LargeValue cycleLength() const {
+      return _best_length;
+    }
+
+    /// \brief Return the number of arcs on the found cycle.
+    ///
+    /// This function returns the number of arcs on the found cycle.
+    ///
+    /// \pre \ref run() or \ref findMinMean() must be called before
+    /// using this function.
+    int cycleArcNum() const {
+      return _best_size;
+    }
+
+    /// \brief Return the mean length of the found cycle.
+    ///
+    /// This function returns the mean length of the found cycle.
+    ///
+    /// \note <tt>alg.cycleMean()</tt> is just a shortcut of the
+    /// following code.
+    /// \code
+    ///   return static_cast<double>(alg.cycleLength()) / alg.cycleArcNum();
+    /// \endcode
+    ///
+    /// \pre \ref run() or \ref findMinMean() must be called before
+    /// using this function.
+    double cycleMean() const {
+      return static_cast<double>(_best_length) / _best_size;
+    }
+
+    /// \brief Return the found cycle.
+    ///
+    /// This function returns a const reference to the path structure
+    /// storing the found cycle.
+    ///
+    /// \pre \ref run() or \ref findCycle() must be called before using
+    /// this function.
+    const Path& cycle() const {
+      return *_cycle_path;
+    }
+
+    ///@}
+
+  private:
+
+    // Initialization
+    void init() {
+      if (!_cycle_path) {
+        _local_path = true;
+        _cycle_path = new Path;
+      }
+      _cycle_path->clear();
+      _best_found = false;
+      _best_length = 0;
+      _best_size = 1;
+      _cycle_path->clear();
+      for (NodeIt u(_gr); u != INVALID; ++u)
+        _data[u].clear();
+    }
+
+    // Find strongly connected components and initialize _comp_nodes
+    // and _out_arcs
+    void findComponents() {
+      _comp_num = stronglyConnectedComponents(_gr, _comp);
+      _comp_nodes.resize(_comp_num);
+      if (_comp_num == 1) {
+        _comp_nodes[0].clear();
+        for (NodeIt n(_gr); n != INVALID; ++n) {
+          _comp_nodes[0].push_back(n);
+          _out_arcs[n].clear();
+          for (OutArcIt a(_gr, n); a != INVALID; ++a) {
+            _out_arcs[n].push_back(a);
+          }
+        }
+      } else {
+        for (int i = 0; i < _comp_num; ++i)
+          _comp_nodes[i].clear();
+        for (NodeIt n(_gr); n != INVALID; ++n) {
+          int k = _comp[n];
+          _comp_nodes[k].push_back(n);
+          _out_arcs[n].clear();
+          for (OutArcIt a(_gr, n); a != INVALID; ++a) {
+            if (_comp[_gr.target(a)] == k) _out_arcs[n].push_back(a);
+          }
+        }
+      }
+    }
+
+    // Initialize path data for the current component
+    bool initComponent(int comp) {
+      _nodes = &(_comp_nodes[comp]);
+      int n = _nodes->size();
+      if (n < 1 || (n == 1 && _out_arcs[(*_nodes)[0]].size() == 0)) {
+        return false;
+      }      
+      for (int i = 0; i < n; ++i) {
+        _data[(*_nodes)[i]].resize(n + 1, PathData(INF));
+      }
+      return true;
+    }
+
+    // Process all rounds of computing path data for the current component.
+    // _data[v][k] is the length of a shortest directed walk from the root
+    // node to node v containing exactly k arcs.
+    void processRounds() {
+      Node start = (*_nodes)[0];
+      _data[start][0] = PathData(0);
+      _process.clear();
+      _process.push_back(start);
+
+      int k, n = _nodes->size();
+      int next_check = 4;
+      bool terminate = false;
+      for (k = 1; k <= n && int(_process.size()) < n && !terminate; ++k) {
+        processNextBuildRound(k);
+        if (k == next_check || k == n) {
+          terminate = checkTermination(k);
+          next_check = next_check * 3 / 2;
+        }
+      }
+      for ( ; k <= n && !terminate; ++k) {
+        processNextFullRound(k);
+        if (k == next_check || k == n) {
+          terminate = checkTermination(k);
+          next_check = next_check * 3 / 2;
+        }
+      }
+    }
+
+    // Process one round and rebuild _process
+    void processNextBuildRound(int k) {
+      std::vector<Node> next;
+      Node u, v;
+      Arc e;
+      LargeValue d;
+      for (int i = 0; i < int(_process.size()); ++i) {
+        u = _process[i];
+        for (int j = 0; j < int(_out_arcs[u].size()); ++j) {
+          e = _out_arcs[u][j];
+          v = _gr.target(e);
+          d = _data[u][k-1].dist + _length[e];
+          if (_tolerance.less(d, _data[v][k].dist)) {
+            if (_data[v][k].dist == INF) next.push_back(v);
+            _data[v][k] = PathData(d, e);
+          }
+        }
+      }
+      _process.swap(next);
+    }
+
+    // Process one round using _nodes instead of _process
+    void processNextFullRound(int k) {
+      Node u, v;
+      Arc e;
+      LargeValue d;
+      for (int i = 0; i < int(_nodes->size()); ++i) {
+        u = (*_nodes)[i];
+        for (int j = 0; j < int(_out_arcs[u].size()); ++j) {
+          e = _out_arcs[u][j];
+          v = _gr.target(e);
+          d = _data[u][k-1].dist + _length[e];
+          if (_tolerance.less(d, _data[v][k].dist)) {
+            _data[v][k] = PathData(d, e);
+          }
+        }
+      }
+    }
+    
+    // Check early termination
+    bool checkTermination(int k) {
+      typedef std::pair<int, int> Pair;
+      typename GR::template NodeMap<Pair> level(_gr, Pair(-1, 0));
+      typename GR::template NodeMap<LargeValue> pi(_gr);
+      int n = _nodes->size();
+      LargeValue length;
+      int size;
+      Node u;
+      
+      // Search for cycles that are already found
+      _curr_found = false;
+      for (int i = 0; i < n; ++i) {
+        u = (*_nodes)[i];
+        if (_data[u][k].dist == INF) continue;
+        for (int j = k; j >= 0; --j) {
+          if (level[u].first == i && level[u].second > 0) {
+            // A cycle is found
+            length = _data[u][level[u].second].dist - _data[u][j].dist;
+            size = level[u].second - j;
+            if (!_curr_found || length * _curr_size < _curr_length * size) {
+              _curr_length = length;
+              _curr_size = size;
+              _curr_node = u;
+              _curr_level = level[u].second;
+              _curr_found = true;
+            }
+          }
+          level[u] = Pair(i, j);
+          if (j != 0) {
+	    u = _gr.source(_data[u][j].pred);
+	  }
+        }
+      }
+
+      // If at least one cycle is found, check the optimality condition
+      LargeValue d;
+      if (_curr_found && k < n) {
+        // Find node potentials
+        for (int i = 0; i < n; ++i) {
+          u = (*_nodes)[i];
+          pi[u] = INF;
+          for (int j = 0; j <= k; ++j) {
+            if (_data[u][j].dist < INF) {
+              d = _data[u][j].dist * _curr_size - j * _curr_length;
+              if (_tolerance.less(d, pi[u])) pi[u] = d;
+            }
+          }
+        }
+
+        // Check the optimality condition for all arcs
+        bool done = true;
+        for (ArcIt a(_gr); a != INVALID; ++a) {
+          if (_tolerance.less(_length[a] * _curr_size - _curr_length,
+                              pi[_gr.target(a)] - pi[_gr.source(a)]) ) {
+            done = false;
+            break;
+          }
+        }
+        return done;
+      }
+      return (k == n);
+    }
+
+  }; //class HartmannOrlin
+
+  ///@}
+
+} //namespace lemon
+
+#endif //LEMON_HARTMANN_ORLIN_H
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/howard.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/howard.h	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,597 @@
+/* -*- C++ -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library
+ *
+ * Copyright (C) 2003-2008
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_HOWARD_H
+#define LEMON_HOWARD_H
+
+/// \ingroup min_mean_cycle
+///
+/// \file
+/// \brief Howard's algorithm for finding a minimum mean cycle.
+
+#include <vector>
+#include <limits>
+#include <lemon/core.h>
+#include <lemon/path.h>
+#include <lemon/tolerance.h>
+#include <lemon/connectivity.h>
+
+namespace lemon {
+
+  /// \brief Default traits class of Howard class.
+  ///
+  /// Default traits class of Howard class.
+  /// \tparam GR The type of the digraph.
+  /// \tparam LEN The type of the length map.
+  /// It must conform to the \ref concepts::ReadMap "ReadMap" concept.
+#ifdef DOXYGEN
+  template <typename GR, typename LEN>
+#else
+  template <typename GR, typename LEN,
+    bool integer = std::numeric_limits<typename LEN::Value>::is_integer>
+#endif
+  struct HowardDefaultTraits
+  {
+    /// The type of the digraph
+    typedef GR Digraph;
+    /// The type of the length map
+    typedef LEN LengthMap;
+    /// The type of the arc lengths
+    typedef typename LengthMap::Value Value;
+
+    /// \brief The large value type used for internal computations
+    ///
+    /// The large value type used for internal computations.
+    /// It is \c long \c long if the \c Value type is integer,
+    /// otherwise it is \c double.
+    /// \c Value must be convertible to \c LargeValue.
+    typedef double LargeValue;
+
+    /// The tolerance type used for internal computations
+    typedef lemon::Tolerance<LargeValue> Tolerance;
+
+    /// \brief The path type of the found cycles
+    ///
+    /// The path type of the found cycles.
+    /// It must conform to the \ref lemon::concepts::Path "Path" concept
+    /// and it must have an \c addBack() function.
+    typedef lemon::Path<Digraph> Path;
+  };
+
+  // Default traits class for integer value types
+  template <typename GR, typename LEN>
+  struct HowardDefaultTraits<GR, LEN, true>
+  {
+    typedef GR Digraph;
+    typedef LEN LengthMap;
+    typedef typename LengthMap::Value Value;
+#ifdef LEMON_HAVE_LONG_LONG
+    typedef long long LargeValue;
+#else
+    typedef long LargeValue;
+#endif
+    typedef lemon::Tolerance<LargeValue> Tolerance;
+    typedef lemon::Path<Digraph> Path;
+  };
+
+
+  /// \addtogroup min_mean_cycle
+  /// @{
+
+  /// \brief Implementation of Howard's algorithm for finding a minimum
+  /// mean cycle.
+  ///
+  /// This class implements Howard's policy iteration algorithm for finding
+  /// a directed cycle of minimum mean length (cost) in a digraph
+  /// \ref amo93networkflows, \ref dasdan98minmeancycle.
+  /// This class provides the most efficient algorithm for the
+  /// minimum mean cycle problem, though the best known theoretical
+  /// bound on its running time is exponential.
+  ///
+  /// \tparam GR The type of the digraph the algorithm runs on.
+  /// \tparam LEN The type of the length map. The default
+  /// map type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
+#ifdef DOXYGEN
+  template <typename GR, typename LEN, typename TR>
+#else
+  template < typename GR,
+             typename LEN = typename GR::template ArcMap<int>,
+             typename TR = HowardDefaultTraits<GR, LEN> >
+#endif
+  class Howard
+  {
+  public:
+  
+    /// The type of the digraph
+    typedef typename TR::Digraph Digraph;
+    /// The type of the length map
+    typedef typename TR::LengthMap LengthMap;
+    /// The type of the arc lengths
+    typedef typename TR::Value Value;
+
+    /// \brief The large value type
+    ///
+    /// The large value type used for internal computations.
+    /// Using the \ref HowardDefaultTraits "default traits class",
+    /// it is \c long \c long if the \c Value type is integer,
+    /// otherwise it is \c double.
+    typedef typename TR::LargeValue LargeValue;
+
+    /// The tolerance type
+    typedef typename TR::Tolerance Tolerance;
+
+    /// \brief The path type of the found cycles
+    ///
+    /// The path type of the found cycles.
+    /// Using the \ref HowardDefaultTraits "default traits class",
+    /// it is \ref lemon::Path "Path<Digraph>".
+    typedef typename TR::Path Path;
+
+    /// The \ref HowardDefaultTraits "traits class" of the algorithm
+    typedef TR Traits;
+
+  private:
+
+    TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
+  
+    // The digraph the algorithm runs on
+    const Digraph &_gr;
+    // The length of the arcs
+    const LengthMap &_length;
+
+    // Data for the found cycles
+    bool _curr_found, _best_found;
+    LargeValue _curr_length, _best_length;
+    int _curr_size, _best_size;
+    Node _curr_node, _best_node;
+
+    Path *_cycle_path;
+    bool _local_path;
+
+    // Internal data used by the algorithm
+    typename Digraph::template NodeMap<Arc> _policy;
+    typename Digraph::template NodeMap<bool> _reached;
+    typename Digraph::template NodeMap<int> _level;
+    typename Digraph::template NodeMap<LargeValue> _dist;
+
+    // Data for storing the strongly connected components
+    int _comp_num;
+    typename Digraph::template NodeMap<int> _comp;
+    std::vector<std::vector<Node> > _comp_nodes;
+    std::vector<Node>* _nodes;
+    typename Digraph::template NodeMap<std::vector<Arc> > _in_arcs;
+    
+    // Queue used for BFS search
+    std::vector<Node> _queue;
+    int _qfront, _qback;
+
+    Tolerance _tolerance;
+  
+    // Infinite constant
+    const LargeValue INF;
+
+  public:
+  
+    /// \name Named Template Parameters
+    /// @{
+
+    template <typename T>
+    struct SetLargeValueTraits : public Traits {
+      typedef T LargeValue;
+      typedef lemon::Tolerance<T> Tolerance;
+    };
+
+    /// \brief \ref named-templ-param "Named parameter" for setting
+    /// \c LargeValue type.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting \c LargeValue
+    /// type. It is used for internal computations in the algorithm.
+    template <typename T>
+    struct SetLargeValue
+      : public Howard<GR, LEN, SetLargeValueTraits<T> > {
+      typedef Howard<GR, LEN, SetLargeValueTraits<T> > Create;
+    };
+
+    template <typename T>
+    struct SetPathTraits : public Traits {
+      typedef T Path;
+    };
+
+    /// \brief \ref named-templ-param "Named parameter" for setting
+    /// \c %Path type.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting the \c %Path
+    /// type of the found cycles.
+    /// It must conform to the \ref lemon::concepts::Path "Path" concept
+    /// and it must have an \c addBack() function.
+    template <typename T>
+    struct SetPath
+      : public Howard<GR, LEN, SetPathTraits<T> > {
+      typedef Howard<GR, LEN, SetPathTraits<T> > Create;
+    };
+    
+    /// @}
+
+  public:
+
+    /// \brief Constructor.
+    ///
+    /// The constructor of the class.
+    ///
+    /// \param digraph The digraph the algorithm runs on.
+    /// \param length The lengths (costs) of the arcs.
+    Howard( const Digraph &digraph,
+            const LengthMap &length ) :
+      _gr(digraph), _length(length), _best_found(false),
+      _best_length(0), _best_size(1), _cycle_path(NULL), _local_path(false),
+      _policy(digraph), _reached(digraph), _level(digraph), _dist(digraph),
+      _comp(digraph), _in_arcs(digraph),
+      INF(std::numeric_limits<LargeValue>::has_infinity ?
+          std::numeric_limits<LargeValue>::infinity() :
+          std::numeric_limits<LargeValue>::max())
+    {}
+
+    /// Destructor.
+    ~Howard() {
+      if (_local_path) delete _cycle_path;
+    }
+
+    /// \brief Set the path structure for storing the found cycle.
+    ///
+    /// This function sets an external path structure for storing the
+    /// found cycle.
+    ///
+    /// If you don't call this function before calling \ref run() or
+    /// \ref findMinMean(), it will allocate a local \ref Path "path"
+    /// structure. The destuctor deallocates this automatically
+    /// allocated object, of course.
+    ///
+    /// \note The algorithm calls only the \ref lemon::Path::addBack()
+    /// "addBack()" function of the given path structure.
+    ///
+    /// \return <tt>(*this)</tt>
+    Howard& cycle(Path &path) {
+      if (_local_path) {
+        delete _cycle_path;
+        _local_path = false;
+      }
+      _cycle_path = &path;
+      return *this;
+    }
+
+    /// \brief Set the tolerance used by the algorithm.
+    ///
+    /// This function sets the tolerance object used by the algorithm.
+    ///
+    /// \return <tt>(*this)</tt>
+    Howard& tolerance(const Tolerance& tolerance) {
+      _tolerance = tolerance;
+      return *this;
+    }
+
+    /// \brief Return a const reference to the tolerance.
+    ///
+    /// This function returns a const reference to the tolerance object
+    /// used by the algorithm.
+    const Tolerance& tolerance() const {
+      return _tolerance;
+    }
+
+    /// \name Execution control
+    /// The simplest way to execute the algorithm is to call the \ref run()
+    /// function.\n
+    /// If you only need the minimum mean length, you may call
+    /// \ref findMinMean().
+
+    /// @{
+
+    /// \brief Run the algorithm.
+    ///
+    /// This function runs the algorithm.
+    /// It can be called more than once (e.g. if the underlying digraph
+    /// and/or the arc lengths have been modified).
+    ///
+    /// \return \c true if a directed cycle exists in the digraph.
+    ///
+    /// \note <tt>mmc.run()</tt> is just a shortcut of the following code.
+    /// \code
+    ///   return mmc.findMinMean() && mmc.findCycle();
+    /// \endcode
+    bool run() {
+      return findMinMean() && findCycle();
+    }
+
+    /// \brief Find the minimum cycle mean.
+    ///
+    /// This function finds the minimum mean length of the directed
+    /// cycles in the digraph.
+    ///
+    /// \return \c true if a directed cycle exists in the digraph.
+    bool findMinMean() {
+      // Initialize and find strongly connected components
+      init();
+      findComponents();
+      
+      // Find the minimum cycle mean in the components
+      for (int comp = 0; comp < _comp_num; ++comp) {
+        // Find the minimum mean cycle in the current component
+        if (!buildPolicyGraph(comp)) continue;
+        while (true) {
+          findPolicyCycle();
+          if (!computeNodeDistances()) break;
+        }
+        // Update the best cycle (global minimum mean cycle)
+        if ( _curr_found && (!_best_found ||
+             _curr_length * _best_size < _best_length * _curr_size) ) {
+          _best_found = true;
+          _best_length = _curr_length;
+          _best_size = _curr_size;
+          _best_node = _curr_node;
+        }
+      }
+      return _best_found;
+    }
+
+    /// \brief Find a minimum mean directed cycle.
+    ///
+    /// This function finds a directed cycle of minimum mean length
+    /// in the digraph using the data computed by findMinMean().
+    ///
+    /// \return \c true if a directed cycle exists in the digraph.
+    ///
+    /// \pre \ref findMinMean() must be called before using this function.
+    bool findCycle() {
+      if (!_best_found) return false;
+      _cycle_path->addBack(_policy[_best_node]);
+      for ( Node v = _best_node;
+            (v = _gr.target(_policy[v])) != _best_node; ) {
+        _cycle_path->addBack(_policy[v]);
+      }
+      return true;
+    }
+
+    /// @}
+
+    /// \name Query Functions
+    /// The results of the algorithm can be obtained using these
+    /// functions.\n
+    /// The algorithm should be executed before using them.
+
+    /// @{
+
+    /// \brief Return the total length of the found cycle.
+    ///
+    /// This function returns the total length of the found cycle.
+    ///
+    /// \pre \ref run() or \ref findMinMean() must be called before
+    /// using this function.
+    LargeValue cycleLength() const {
+      return _best_length;
+    }
+
+    /// \brief Return the number of arcs on the found cycle.
+    ///
+    /// This function returns the number of arcs on the found cycle.
+    ///
+    /// \pre \ref run() or \ref findMinMean() must be called before
+    /// using this function.
+    int cycleArcNum() const {
+      return _best_size;
+    }
+
+    /// \brief Return the mean length of the found cycle.
+    ///
+    /// This function returns the mean length of the found cycle.
+    ///
+    /// \note <tt>alg.cycleMean()</tt> is just a shortcut of the
+    /// following code.
+    /// \code
+    ///   return static_cast<double>(alg.cycleLength()) / alg.cycleArcNum();
+    /// \endcode
+    ///
+    /// \pre \ref run() or \ref findMinMean() must be called before
+    /// using this function.
+    double cycleMean() const {
+      return static_cast<double>(_best_length) / _best_size;
+    }
+
+    /// \brief Return the found cycle.
+    ///
+    /// This function returns a const reference to the path structure
+    /// storing the found cycle.
+    ///
+    /// \pre \ref run() or \ref findCycle() must be called before using
+    /// this function.
+    const Path& cycle() const {
+      return *_cycle_path;
+    }
+
+    ///@}
+
+  private:
+
+    // Initialize
+    void init() {
+      if (!_cycle_path) {
+        _local_path = true;
+        _cycle_path = new Path;
+      }
+      _queue.resize(countNodes(_gr));
+      _best_found = false;
+      _best_length = 0;
+      _best_size = 1;
+      _cycle_path->clear();
+    }
+    
+    // Find strongly connected components and initialize _comp_nodes
+    // and _in_arcs
+    void findComponents() {
+      _comp_num = stronglyConnectedComponents(_gr, _comp);
+      _comp_nodes.resize(_comp_num);
+      if (_comp_num == 1) {
+        _comp_nodes[0].clear();
+        for (NodeIt n(_gr); n != INVALID; ++n) {
+          _comp_nodes[0].push_back(n);
+          _in_arcs[n].clear();
+          for (InArcIt a(_gr, n); a != INVALID; ++a) {
+            _in_arcs[n].push_back(a);
+          }
+        }
+      } else {
+        for (int i = 0; i < _comp_num; ++i)
+          _comp_nodes[i].clear();
+        for (NodeIt n(_gr); n != INVALID; ++n) {
+          int k = _comp[n];
+          _comp_nodes[k].push_back(n);
+          _in_arcs[n].clear();
+          for (InArcIt a(_gr, n); a != INVALID; ++a) {
+            if (_comp[_gr.source(a)] == k) _in_arcs[n].push_back(a);
+          }
+        }
+      }
+    }
+
+    // Build the policy graph in the given strongly connected component
+    // (the out-degree of every node is 1)
+    bool buildPolicyGraph(int comp) {
+      _nodes = &(_comp_nodes[comp]);
+      if (_nodes->size() < 1 ||
+          (_nodes->size() == 1 && _in_arcs[(*_nodes)[0]].size() == 0)) {
+        return false;
+      }
+      for (int i = 0; i < int(_nodes->size()); ++i) {
+        _dist[(*_nodes)[i]] = INF;
+      }
+      Node u, v;
+      Arc e;
+      for (int i = 0; i < int(_nodes->size()); ++i) {
+        v = (*_nodes)[i];
+        for (int j = 0; j < int(_in_arcs[v].size()); ++j) {
+          e = _in_arcs[v][j];
+          u = _gr.source(e);
+          if (_length[e] < _dist[u]) {
+            _dist[u] = _length[e];
+            _policy[u] = e;
+          }
+        }
+      }
+      return true;
+    }
+
+    // Find the minimum mean cycle in the policy graph
+    void findPolicyCycle() {
+      for (int i = 0; i < int(_nodes->size()); ++i) {
+        _level[(*_nodes)[i]] = -1;
+      }
+      LargeValue clength;
+      int csize;
+      Node u, v;
+      _curr_found = false;
+      for (int i = 0; i < int(_nodes->size()); ++i) {
+        u = (*_nodes)[i];
+        if (_level[u] >= 0) continue;
+        for (; _level[u] < 0; u = _gr.target(_policy[u])) {
+          _level[u] = i;
+        }
+        if (_level[u] == i) {
+          // A cycle is found
+          clength = _length[_policy[u]];
+          csize = 1;
+          for (v = u; (v = _gr.target(_policy[v])) != u; ) {
+            clength += _length[_policy[v]];
+            ++csize;
+          }
+          if ( !_curr_found ||
+               (clength * _curr_size < _curr_length * csize) ) {
+            _curr_found = true;
+            _curr_length = clength;
+            _curr_size = csize;
+            _curr_node = u;
+          }
+        }
+      }
+    }
+
+    // Contract the policy graph and compute node distances
+    bool computeNodeDistances() {
+      // Find the component of the main cycle and compute node distances
+      // using reverse BFS
+      for (int i = 0; i < int(_nodes->size()); ++i) {
+        _reached[(*_nodes)[i]] = false;
+      }
+      _qfront = _qback = 0;
+      _queue[0] = _curr_node;
+      _reached[_curr_node] = true;
+      _dist[_curr_node] = 0;
+      Node u, v;
+      Arc e;
+      while (_qfront <= _qback) {
+        v = _queue[_qfront++];
+        for (int j = 0; j < int(_in_arcs[v].size()); ++j) {
+          e = _in_arcs[v][j];
+          u = _gr.source(e);
+          if (_policy[u] == e && !_reached[u]) {
+            _reached[u] = true;
+            _dist[u] = _dist[v] + _length[e] * _curr_size - _curr_length;
+            _queue[++_qback] = u;
+          }
+        }
+      }
+
+      // Connect all other nodes to this component and compute node
+      // distances using reverse BFS
+      _qfront = 0;
+      while (_qback < int(_nodes->size())-1) {
+        v = _queue[_qfront++];
+        for (int j = 0; j < int(_in_arcs[v].size()); ++j) {
+          e = _in_arcs[v][j];
+          u = _gr.source(e);
+          if (!_reached[u]) {
+            _reached[u] = true;
+            _policy[u] = e;
+            _dist[u] = _dist[v] + _length[e] * _curr_size - _curr_length;
+            _queue[++_qback] = u;
+          }
+        }
+      }
+
+      // Improve node distances
+      bool improved = false;
+      for (int i = 0; i < int(_nodes->size()); ++i) {
+        v = (*_nodes)[i];
+        for (int j = 0; j < int(_in_arcs[v].size()); ++j) {
+          e = _in_arcs[v][j];
+          u = _gr.source(e);
+          LargeValue delta = _dist[v] + _length[e] * _curr_size - _curr_length;
+          if (_tolerance.less(delta, _dist[u])) {
+            _dist[u] = delta;
+            _policy[u] = e;
+            improved = true;
+          }
+        }
+      }
+      return improved;
+    }
+
+  }; //class Howard
+
+  ///@}
+
+} //namespace lemon
+
+#endif //LEMON_HOWARD_H
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/hypercube_graph.h
--- a/lemon/hypercube_graph.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/hypercube_graph.h	Thu Dec 10 17:18:25 2009 +0100
@@ -262,7 +262,7 @@
       return arc._id >> _dim;
     }
 
-    int index(Node node) const {
+    static int index(Node node) {
       return node._id;
     }
 
@@ -282,17 +282,23 @@
   ///
   /// \brief Hypercube graph class
   ///
-  /// This class implements a special graph type. The nodes of the graph
-  /// are indiced with integers with at most \c dim binary digits.
+  /// HypercubeGraph implements a special graph type. The nodes of the
+  /// graph are indexed with integers having at most \c dim binary digits.
   /// Two nodes are connected in the graph if and only if their indices
   /// differ only on one position in the binary form.
+  /// This class is completely static and it needs constant memory space.
+  /// Thus you can neither add nor delete nodes or edges, however,
+  /// the structure can be resized using resize().
+  ///
+  /// This type fully conforms to the \ref concepts::Graph "Graph concept".
+  /// Most of its member functions and nested classes are documented
+  /// only in the concept class.
+  ///
+  /// This class provides constant time counting for nodes, edges and arcs.
   ///
   /// \note The type of the indices is chosen to \c int for efficiency
   /// reasons. Thus the maximum dimension of this implementation is 26
   /// (assuming that the size of \c int is 32 bit).
-  ///
-  /// This graph type fully conforms to the \ref concepts::Graph
-  /// "Graph concept".
   class HypercubeGraph : public ExtendedHypercubeGraphBase {
     typedef ExtendedHypercubeGraphBase Parent;
 
@@ -303,6 +309,21 @@
     /// Constructs a hypercube graph with \c dim dimensions.
     HypercubeGraph(int dim) { construct(dim); }
 
+    /// \brief Resizes the graph
+    ///
+    /// This function resizes the graph. It fully destroys and
+    /// rebuilds the structure, therefore the maps of the graph will be
+    /// reallocated automatically and the previous values will be lost.
+    void resize(int dim) {
+      Parent::notifier(Arc()).clear();
+      Parent::notifier(Edge()).clear();
+      Parent::notifier(Node()).clear();
+      construct(dim);
+      Parent::notifier(Node()).build();
+      Parent::notifier(Edge()).build();
+      Parent::notifier(Arc()).build();
+    }
+
     /// \brief The number of dimensions.
     ///
     /// Gives back the number of dimensions.
@@ -320,7 +341,7 @@
     /// \brief The dimension id of an edge.
     ///
     /// Gives back the dimension id of the given edge.
-    /// It is in the [0..dim-1] range.
+    /// It is in the range <tt>[0..dim-1]</tt>.
     int dimension(Edge edge) const {
       return Parent::dimension(edge);
     }
@@ -328,7 +349,7 @@
     /// \brief The dimension id of an arc.
     ///
     /// Gives back the dimension id of the given arc.
-    /// It is in the [0..dim-1] range.
+    /// It is in the range <tt>[0..dim-1]</tt>.
     int dimension(Arc arc) const {
       return Parent::dimension(arc);
     }
@@ -337,7 +358,7 @@
     ///
     /// Gives back the index of the given node.
     /// The lower bits of the integer describes the node.
-    int index(Node node) const {
+    static int index(Node node) {
       return Parent::index(node);
     }
 
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/karp.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/karp.h	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,582 @@
+/* -*- C++ -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library
+ *
+ * Copyright (C) 2003-2008
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_KARP_H
+#define LEMON_KARP_H
+
+/// \ingroup min_mean_cycle
+///
+/// \file
+/// \brief Karp's algorithm for finding a minimum mean cycle.
+
+#include <vector>
+#include <limits>
+#include <lemon/core.h>
+#include <lemon/path.h>
+#include <lemon/tolerance.h>
+#include <lemon/connectivity.h>
+
+namespace lemon {
+
+  /// \brief Default traits class of Karp algorithm.
+  ///
+  /// Default traits class of Karp algorithm.
+  /// \tparam GR The type of the digraph.
+  /// \tparam LEN The type of the length map.
+  /// It must conform to the \ref concepts::ReadMap "ReadMap" concept.
+#ifdef DOXYGEN
+  template <typename GR, typename LEN>
+#else
+  template <typename GR, typename LEN,
+    bool integer = std::numeric_limits<typename LEN::Value>::is_integer>
+#endif
+  struct KarpDefaultTraits
+  {
+    /// The type of the digraph
+    typedef GR Digraph;
+    /// The type of the length map
+    typedef LEN LengthMap;
+    /// The type of the arc lengths
+    typedef typename LengthMap::Value Value;
+
+    /// \brief The large value type used for internal computations
+    ///
+    /// The large value type used for internal computations.
+    /// It is \c long \c long if the \c Value type is integer,
+    /// otherwise it is \c double.
+    /// \c Value must be convertible to \c LargeValue.
+    typedef double LargeValue;
+
+    /// The tolerance type used for internal computations
+    typedef lemon::Tolerance<LargeValue> Tolerance;
+
+    /// \brief The path type of the found cycles
+    ///
+    /// The path type of the found cycles.
+    /// It must conform to the \ref lemon::concepts::Path "Path" concept
+    /// and it must have an \c addFront() function.
+    typedef lemon::Path<Digraph> Path;
+  };
+
+  // Default traits class for integer value types
+  template <typename GR, typename LEN>
+  struct KarpDefaultTraits<GR, LEN, true>
+  {
+    typedef GR Digraph;
+    typedef LEN LengthMap;
+    typedef typename LengthMap::Value Value;
+#ifdef LEMON_HAVE_LONG_LONG
+    typedef long long LargeValue;
+#else
+    typedef long LargeValue;
+#endif
+    typedef lemon::Tolerance<LargeValue> Tolerance;
+    typedef lemon::Path<Digraph> Path;
+  };
+
+
+  /// \addtogroup min_mean_cycle
+  /// @{
+
+  /// \brief Implementation of Karp's algorithm for finding a minimum
+  /// mean cycle.
+  ///
+  /// This class implements Karp's algorithm for finding a directed
+  /// cycle of minimum mean length (cost) in a digraph
+  /// \ref amo93networkflows, \ref dasdan98minmeancycle.
+  /// It runs in time O(ne) and uses space O(n<sup>2</sup>+e).
+  ///
+  /// \tparam GR The type of the digraph the algorithm runs on.
+  /// \tparam LEN The type of the length map. The default
+  /// map type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
+#ifdef DOXYGEN
+  template <typename GR, typename LEN, typename TR>
+#else
+  template < typename GR,
+             typename LEN = typename GR::template ArcMap<int>,
+             typename TR = KarpDefaultTraits<GR, LEN> >
+#endif
+  class Karp
+  {
+  public:
+
+    /// The type of the digraph
+    typedef typename TR::Digraph Digraph;
+    /// The type of the length map
+    typedef typename TR::LengthMap LengthMap;
+    /// The type of the arc lengths
+    typedef typename TR::Value Value;
+
+    /// \brief The large value type
+    ///
+    /// The large value type used for internal computations.
+    /// Using the \ref KarpDefaultTraits "default traits class",
+    /// it is \c long \c long if the \c Value type is integer,
+    /// otherwise it is \c double.
+    typedef typename TR::LargeValue LargeValue;
+
+    /// The tolerance type
+    typedef typename TR::Tolerance Tolerance;
+
+    /// \brief The path type of the found cycles
+    ///
+    /// The path type of the found cycles.
+    /// Using the \ref KarpDefaultTraits "default traits class",
+    /// it is \ref lemon::Path "Path<Digraph>".
+    typedef typename TR::Path Path;
+
+    /// The \ref KarpDefaultTraits "traits class" of the algorithm
+    typedef TR Traits;
+
+  private:
+
+    TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
+
+    // Data sturcture for path data
+    struct PathData
+    {
+      LargeValue dist;
+      Arc pred;
+      PathData(LargeValue d, Arc p = INVALID) :
+        dist(d), pred(p) {}
+    };
+
+    typedef typename Digraph::template NodeMap<std::vector<PathData> >
+      PathDataNodeMap;
+
+  private:
+
+    // The digraph the algorithm runs on
+    const Digraph &_gr;
+    // The length of the arcs
+    const LengthMap &_length;
+
+    // Data for storing the strongly connected components
+    int _comp_num;
+    typename Digraph::template NodeMap<int> _comp;
+    std::vector<std::vector<Node> > _comp_nodes;
+    std::vector<Node>* _nodes;
+    typename Digraph::template NodeMap<std::vector<Arc> > _out_arcs;
+
+    // Data for the found cycle
+    LargeValue _cycle_length;
+    int _cycle_size;
+    Node _cycle_node;
+
+    Path *_cycle_path;
+    bool _local_path;
+
+    // Node map for storing path data
+    PathDataNodeMap _data;
+    // The processed nodes in the last round
+    std::vector<Node> _process;
+
+    Tolerance _tolerance;
+    
+    // Infinite constant
+    const LargeValue INF;
+
+  public:
+
+    /// \name Named Template Parameters
+    /// @{
+
+    template <typename T>
+    struct SetLargeValueTraits : public Traits {
+      typedef T LargeValue;
+      typedef lemon::Tolerance<T> Tolerance;
+    };
+
+    /// \brief \ref named-templ-param "Named parameter" for setting
+    /// \c LargeValue type.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting \c LargeValue
+    /// type. It is used for internal computations in the algorithm.
+    template <typename T>
+    struct SetLargeValue
+      : public Karp<GR, LEN, SetLargeValueTraits<T> > {
+      typedef Karp<GR, LEN, SetLargeValueTraits<T> > Create;
+    };
+
+    template <typename T>
+    struct SetPathTraits : public Traits {
+      typedef T Path;
+    };
+
+    /// \brief \ref named-templ-param "Named parameter" for setting
+    /// \c %Path type.
+    ///
+    /// \ref named-templ-param "Named parameter" for setting the \c %Path
+    /// type of the found cycles.
+    /// It must conform to the \ref lemon::concepts::Path "Path" concept
+    /// and it must have an \c addFront() function.
+    template <typename T>
+    struct SetPath
+      : public Karp<GR, LEN, SetPathTraits<T> > {
+      typedef Karp<GR, LEN, SetPathTraits<T> > Create;
+    };
+
+    /// @}
+
+  public:
+
+    /// \brief Constructor.
+    ///
+    /// The constructor of the class.
+    ///
+    /// \param digraph The digraph the algorithm runs on.
+    /// \param length The lengths (costs) of the arcs.
+    Karp( const Digraph &digraph,
+          const LengthMap &length ) :
+      _gr(digraph), _length(length), _comp(digraph), _out_arcs(digraph),
+      _cycle_length(0), _cycle_size(1), _cycle_node(INVALID),
+      _cycle_path(NULL), _local_path(false), _data(digraph),
+      INF(std::numeric_limits<LargeValue>::has_infinity ?
+          std::numeric_limits<LargeValue>::infinity() :
+          std::numeric_limits<LargeValue>::max())
+    {}
+
+    /// Destructor.
+    ~Karp() {
+      if (_local_path) delete _cycle_path;
+    }
+
+    /// \brief Set the path structure for storing the found cycle.
+    ///
+    /// This function sets an external path structure for storing the
+    /// found cycle.
+    ///
+    /// If you don't call this function before calling \ref run() or
+    /// \ref findMinMean(), it will allocate a local \ref Path "path"
+    /// structure. The destuctor deallocates this automatically
+    /// allocated object, of course.
+    ///
+    /// \note The algorithm calls only the \ref lemon::Path::addFront()
+    /// "addFront()" function of the given path structure.
+    ///
+    /// \return <tt>(*this)</tt>
+    Karp& cycle(Path &path) {
+      if (_local_path) {
+        delete _cycle_path;
+        _local_path = false;
+      }
+      _cycle_path = &path;
+      return *this;
+    }
+
+    /// \brief Set the tolerance used by the algorithm.
+    ///
+    /// This function sets the tolerance object used by the algorithm.
+    ///
+    /// \return <tt>(*this)</tt>
+    Karp& tolerance(const Tolerance& tolerance) {
+      _tolerance = tolerance;
+      return *this;
+    }
+
+    /// \brief Return a const reference to the tolerance.
+    ///
+    /// This function returns a const reference to the tolerance object
+    /// used by the algorithm.
+    const Tolerance& tolerance() const {
+      return _tolerance;
+    }
+
+    /// \name Execution control
+    /// The simplest way to execute the algorithm is to call the \ref run()
+    /// function.\n
+    /// If you only need the minimum mean length, you may call
+    /// \ref findMinMean().
+
+    /// @{
+
+    /// \brief Run the algorithm.
+    ///
+    /// This function runs the algorithm.
+    /// It can be called more than once (e.g. if the underlying digraph
+    /// and/or the arc lengths have been modified).
+    ///
+    /// \return \c true if a directed cycle exists in the digraph.
+    ///
+    /// \note <tt>mmc.run()</tt> is just a shortcut of the following code.
+    /// \code
+    ///   return mmc.findMinMean() && mmc.findCycle();
+    /// \endcode
+    bool run() {
+      return findMinMean() && findCycle();
+    }
+
+    /// \brief Find the minimum cycle mean.
+    ///
+    /// This function finds the minimum mean length of the directed
+    /// cycles in the digraph.
+    ///
+    /// \return \c true if a directed cycle exists in the digraph.
+    bool findMinMean() {
+      // Initialization and find strongly connected components
+      init();
+      findComponents();
+      
+      // Find the minimum cycle mean in the components
+      for (int comp = 0; comp < _comp_num; ++comp) {
+        if (!initComponent(comp)) continue;
+        processRounds();
+        updateMinMean();
+      }
+      return (_cycle_node != INVALID);
+    }
+
+    /// \brief Find a minimum mean directed cycle.
+    ///
+    /// This function finds a directed cycle of minimum mean length
+    /// in the digraph using the data computed by findMinMean().
+    ///
+    /// \return \c true if a directed cycle exists in the digraph.
+    ///
+    /// \pre \ref findMinMean() must be called before using this function.
+    bool findCycle() {
+      if (_cycle_node == INVALID) return false;
+      IntNodeMap reached(_gr, -1);
+      int r = _data[_cycle_node].size();
+      Node u = _cycle_node;
+      while (reached[u] < 0) {
+        reached[u] = --r;
+        u = _gr.source(_data[u][r].pred);
+      }
+      r = reached[u];
+      Arc e = _data[u][r].pred;
+      _cycle_path->addFront(e);
+      _cycle_length = _length[e];
+      _cycle_size = 1;
+      Node v;
+      while ((v = _gr.source(e)) != u) {
+        e = _data[v][--r].pred;
+        _cycle_path->addFront(e);
+        _cycle_length += _length[e];
+        ++_cycle_size;
+      }
+      return true;
+    }
+
+    /// @}
+
+    /// \name Query Functions
+    /// The results of the algorithm can be obtained using these
+    /// functions.\n
+    /// The algorithm should be executed before using them.
+
+    /// @{
+
+    /// \brief Return the total length of the found cycle.
+    ///
+    /// This function returns the total length of the found cycle.
+    ///
+    /// \pre \ref run() or \ref findMinMean() must be called before
+    /// using this function.
+    LargeValue cycleLength() const {
+      return _cycle_length;
+    }
+
+    /// \brief Return the number of arcs on the found cycle.
+    ///
+    /// This function returns the number of arcs on the found cycle.
+    ///
+    /// \pre \ref run() or \ref findMinMean() must be called before
+    /// using this function.
+    int cycleArcNum() const {
+      return _cycle_size;
+    }
+
+    /// \brief Return the mean length of the found cycle.
+    ///
+    /// This function returns the mean length of the found cycle.
+    ///
+    /// \note <tt>alg.cycleMean()</tt> is just a shortcut of the
+    /// following code.
+    /// \code
+    ///   return static_cast<double>(alg.cycleLength()) / alg.cycleArcNum();
+    /// \endcode
+    ///
+    /// \pre \ref run() or \ref findMinMean() must be called before
+    /// using this function.
+    double cycleMean() const {
+      return static_cast<double>(_cycle_length) / _cycle_size;
+    }
+
+    /// \brief Return the found cycle.
+    ///
+    /// This function returns a const reference to the path structure
+    /// storing the found cycle.
+    ///
+    /// \pre \ref run() or \ref findCycle() must be called before using
+    /// this function.
+    const Path& cycle() const {
+      return *_cycle_path;
+    }
+
+    ///@}
+
+  private:
+
+    // Initialization
+    void init() {
+      if (!_cycle_path) {
+        _local_path = true;
+        _cycle_path = new Path;
+      }
+      _cycle_path->clear();
+      _cycle_length = 0;
+      _cycle_size = 1;
+      _cycle_node = INVALID;
+      for (NodeIt u(_gr); u != INVALID; ++u)
+        _data[u].clear();
+    }
+
+    // Find strongly connected components and initialize _comp_nodes
+    // and _out_arcs
+    void findComponents() {
+      _comp_num = stronglyConnectedComponents(_gr, _comp);
+      _comp_nodes.resize(_comp_num);
+      if (_comp_num == 1) {
+        _comp_nodes[0].clear();
+        for (NodeIt n(_gr); n != INVALID; ++n) {
+          _comp_nodes[0].push_back(n);
+          _out_arcs[n].clear();
+          for (OutArcIt a(_gr, n); a != INVALID; ++a) {
+            _out_arcs[n].push_back(a);
+          }
+        }
+      } else {
+        for (int i = 0; i < _comp_num; ++i)
+          _comp_nodes[i].clear();
+        for (NodeIt n(_gr); n != INVALID; ++n) {
+          int k = _comp[n];
+          _comp_nodes[k].push_back(n);
+          _out_arcs[n].clear();
+          for (OutArcIt a(_gr, n); a != INVALID; ++a) {
+            if (_comp[_gr.target(a)] == k) _out_arcs[n].push_back(a);
+          }
+        }
+      }
+    }
+
+    // Initialize path data for the current component
+    bool initComponent(int comp) {
+      _nodes = &(_comp_nodes[comp]);
+      int n = _nodes->size();
+      if (n < 1 || (n == 1 && _out_arcs[(*_nodes)[0]].size() == 0)) {
+        return false;
+      }      
+      for (int i = 0; i < n; ++i) {
+        _data[(*_nodes)[i]].resize(n + 1, PathData(INF));
+      }
+      return true;
+    }
+
+    // Process all rounds of computing path data for the current component.
+    // _data[v][k] is the length of a shortest directed walk from the root
+    // node to node v containing exactly k arcs.
+    void processRounds() {
+      Node start = (*_nodes)[0];
+      _data[start][0] = PathData(0);
+      _process.clear();
+      _process.push_back(start);
+
+      int k, n = _nodes->size();
+      for (k = 1; k <= n && int(_process.size()) < n; ++k) {
+        processNextBuildRound(k);
+      }
+      for ( ; k <= n; ++k) {
+        processNextFullRound(k);
+      }
+    }
+
+    // Process one round and rebuild _process
+    void processNextBuildRound(int k) {
+      std::vector<Node> next;
+      Node u, v;
+      Arc e;
+      LargeValue d;
+      for (int i = 0; i < int(_process.size()); ++i) {
+        u = _process[i];
+        for (int j = 0; j < int(_out_arcs[u].size()); ++j) {
+          e = _out_arcs[u][j];
+          v = _gr.target(e);
+          d = _data[u][k-1].dist + _length[e];
+          if (_tolerance.less(d, _data[v][k].dist)) {
+            if (_data[v][k].dist == INF) next.push_back(v);
+            _data[v][k] = PathData(d, e);
+          }
+        }
+      }
+      _process.swap(next);
+    }
+
+    // Process one round using _nodes instead of _process
+    void processNextFullRound(int k) {
+      Node u, v;
+      Arc e;
+      LargeValue d;
+      for (int i = 0; i < int(_nodes->size()); ++i) {
+        u = (*_nodes)[i];
+        for (int j = 0; j < int(_out_arcs[u].size()); ++j) {
+          e = _out_arcs[u][j];
+          v = _gr.target(e);
+          d = _data[u][k-1].dist + _length[e];
+          if (_tolerance.less(d, _data[v][k].dist)) {
+            _data[v][k] = PathData(d, e);
+          }
+        }
+      }
+    }
+
+    // Update the minimum cycle mean
+    void updateMinMean() {
+      int n = _nodes->size();
+      for (int i = 0; i < n; ++i) {
+        Node u = (*_nodes)[i];
+        if (_data[u][n].dist == INF) continue;
+        LargeValue length, max_length = 0;
+        int size, max_size = 1;
+        bool found_curr = false;
+        for (int k = 0; k < n; ++k) {
+          if (_data[u][k].dist == INF) continue;
+          length = _data[u][n].dist - _data[u][k].dist;
+          size = n - k;
+          if (!found_curr || length * max_size > max_length * size) {
+            found_curr = true;
+            max_length = length;
+            max_size = size;
+          }
+        }
+        if ( found_curr && (_cycle_node == INVALID ||
+             max_length * _cycle_size < _cycle_length * max_size) ) {
+          _cycle_length = max_length;
+          _cycle_size = max_size;
+          _cycle_node = u;
+        }
+      }
+    }
+
+  }; //class Karp
+
+  ///@}
+
+} //namespace lemon
+
+#endif //LEMON_KARP_H
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/kary_heap.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/kary_heap.h	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,352 @@
+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2009
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_KARY_HEAP_H
+#define LEMON_KARY_HEAP_H
+
+///\ingroup heaps
+///\file
+///\brief Fourary heap implementation.
+
+#include <vector>
+#include <utility>
+#include <functional>
+
+namespace lemon {
+
+  /// \ingroup heaps
+  ///
+  ///\brief K-ary heap data structure.
+  ///
+  /// This class implements the \e K-ary \e heap data structure.
+  /// It fully conforms to the \ref concepts::Heap "heap concept".
+  ///
+  /// The \ref KaryHeap "K-ary heap" is a generalization of the
+  /// \ref BinHeap "binary heap" structure, its nodes have at most
+  /// \c K children, instead of two.
+  /// \ref BinHeap and \ref FouraryHeap are specialized implementations
+  /// of this structure for <tt>K=2</tt> and <tt>K=4</tt>, respectively.
+  ///
+  /// \tparam PR Type of the priorities of the items.
+  /// \tparam IM A read-writable item map with \c int values, used
+  /// internally to handle the cross references.
+  /// \tparam K The degree of the heap, each node have at most \e K
+  /// children. The default is 16. Powers of two are suggested to use
+  /// so that the multiplications and divisions needed to traverse the
+  /// nodes of the heap could be performed faster.
+  /// \tparam CMP A functor class for comparing the priorities.
+  /// The default is \c std::less<PR>.
+  ///
+  ///\sa BinHeap
+  ///\sa FouraryHeap
+#ifdef DOXYGEN
+  template <typename PR, typename IM, int K, typename CMP>
+#else
+  template <typename PR, typename IM, int K = 16,
+            typename CMP = std::less<PR> >
+#endif
+  class KaryHeap {
+  public:
+    /// Type of the item-int map.
+    typedef IM ItemIntMap;
+    /// Type of the priorities.
+    typedef PR Prio;
+    /// Type of the items stored in the heap.
+    typedef typename ItemIntMap::Key Item;
+    /// Type of the item-priority pairs.
+    typedef std::pair<Item,Prio> Pair;
+    /// Functor type for comparing the priorities.
+    typedef CMP Compare;
+
+    /// \brief Type to represent the states of the items.
+    ///
+    /// Each item has a state associated to it. It can be "in heap",
+    /// "pre-heap" or "post-heap". The latter two are indifferent from the
+    /// heap's point of view, but may be useful to the user.
+    ///
+    /// The item-int map must be initialized in such way that it assigns
+    /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
+    enum State {
+      IN_HEAP = 0,    ///< = 0.
+      PRE_HEAP = -1,  ///< = -1.
+      POST_HEAP = -2  ///< = -2.
+    };
+
+  private:
+    std::vector<Pair> _data;
+    Compare _comp;
+    ItemIntMap &_iim;
+
+  public:
+    /// \brief Constructor.
+    ///
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    explicit KaryHeap(ItemIntMap &map) : _iim(map) {}
+
+    /// \brief Constructor.
+    ///
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    /// \param comp The function object used for comparing the priorities.
+    KaryHeap(ItemIntMap &map, const Compare &comp)
+      : _iim(map), _comp(comp) {}
+
+    /// \brief The number of items stored in the heap.
+    ///
+    /// This function returns the number of items stored in the heap.
+    int size() const { return _data.size(); }
+
+    /// \brief Check if the heap is empty.
+    ///
+    /// This function returns \c true if the heap is empty.
+    bool empty() const { return _data.empty(); }
+
+    /// \brief Make the heap empty.
+    ///
+    /// This functon makes the heap empty.
+    /// It does not change the cross reference map. If you want to reuse
+    /// a heap that is not surely empty, you should first clear it and
+    /// then you should set the cross reference map to \c PRE_HEAP
+    /// for each item.
+    void clear() { _data.clear(); }
+
+  private:
+    int parent(int i) { return (i-1)/K; }
+    int firstChild(int i) { return K*i+1; }
+
+    bool less(const Pair &p1, const Pair &p2) const {
+      return _comp(p1.second, p2.second);
+    }
+
+    void bubbleUp(int hole, Pair p) {
+      int par = parent(hole);
+      while( hole>0 && less(p,_data[par]) ) {
+        move(_data[par],hole);
+        hole = par;
+        par = parent(hole);
+      }
+      move(p, hole);
+    }
+
+    void bubbleDown(int hole, Pair p, int length) {
+      if( length>1 ) {
+        int child = firstChild(hole);
+        while( child+K<=length ) {
+          int min=child;
+          for (int i=1; i<K; ++i) {
+            if( less(_data[child+i], _data[min]) )
+              min=child+i;
+          }
+          if( !less(_data[min], p) )
+            goto ok;
+          move(_data[min], hole);
+          hole = min;
+          child = firstChild(hole);
+        }
+        if ( child<length ) {
+          int min = child;
+          while (++child < length) {
+            if( less(_data[child], _data[min]) )
+              min=child;
+          }
+          if( less(_data[min], p) ) {
+            move(_data[min], hole);
+            hole = min;
+          }
+        }
+      }
+    ok:
+      move(p, hole);
+    }
+
+    void move(const Pair &p, int i) {
+      _data[i] = p;
+      _iim.set(p.first, i);
+    }
+
+  public:
+    /// \brief Insert a pair of item and priority into the heap.
+    ///
+    /// This function inserts \c p.first to the heap with priority
+    /// \c p.second.
+    /// \param p The pair to insert.
+    /// \pre \c p.first must not be stored in the heap.
+    void push(const Pair &p) {
+      int n = _data.size();
+      _data.resize(n+1);
+      bubbleUp(n, p);
+    }
+
+    /// \brief Insert an item into the heap with the given priority.
+    ///
+    /// This function inserts the given item into the heap with the
+    /// given priority.
+    /// \param i The item to insert.
+    /// \param p The priority of the item.
+    /// \pre \e i must not be stored in the heap.
+    void push(const Item &i, const Prio &p) { push(Pair(i,p)); }
+
+    /// \brief Return the item having minimum priority.
+    ///
+    /// This function returns the item having minimum priority.
+    /// \pre The heap must be non-empty.
+    Item top() const { return _data[0].first; }
+
+    /// \brief The minimum priority.
+    ///
+    /// This function returns the minimum priority.
+    /// \pre The heap must be non-empty.
+    Prio prio() const { return _data[0].second; }
+
+    /// \brief Remove the item having minimum priority.
+    ///
+    /// This function removes the item having minimum priority.
+    /// \pre The heap must be non-empty.
+    void pop() {
+      int n = _data.size()-1;
+      _iim.set(_data[0].first, POST_HEAP);
+      if (n>0) bubbleDown(0, _data[n], n);
+      _data.pop_back();
+    }
+
+    /// \brief Remove the given item from the heap.
+    ///
+    /// This function removes the given item from the heap if it is
+    /// already stored.
+    /// \param i The item to delete.
+    /// \pre \e i must be in the heap.
+    void erase(const Item &i) {
+      int h = _iim[i];
+      int n = _data.size()-1;
+      _iim.set(_data[h].first, POST_HEAP);
+      if( h<n ) {
+        if( less(_data[parent(h)], _data[n]) )
+          bubbleDown(h, _data[n], n);
+        else
+          bubbleUp(h, _data[n]);
+      }
+      _data.pop_back();
+    }
+
+    /// \brief The priority of the given item.
+    ///
+    /// This function returns the priority of the given item.
+    /// \param i The item.
+    /// \pre \e i must be in the heap.
+    Prio operator[](const Item &i) const {
+      int idx = _iim[i];
+      return _data[idx].second;
+    }
+
+    /// \brief Set the priority of an item or insert it, if it is
+    /// not stored in the heap.
+    ///
+    /// This method sets the priority of the given item if it is
+    /// already stored in the heap. Otherwise it inserts the given
+    /// item into the heap with the given priority.
+    /// \param i The item.
+    /// \param p The priority.
+    void set(const Item &i, const Prio &p) {
+      int idx = _iim[i];
+      if( idx<0 )
+        push(i,p);
+      else if( _comp(p, _data[idx].second) )
+        bubbleUp(idx, Pair(i,p));
+      else
+        bubbleDown(idx, Pair(i,p), _data.size());
+    }
+
+    /// \brief Decrease the priority of an item to the given value.
+    ///
+    /// This function decreases the priority of an item to the given value.
+    /// \param i The item.
+    /// \param p The priority.
+    /// \pre \e i must be stored in the heap with priority at least \e p.
+    void decrease(const Item &i, const Prio &p) {
+      int idx = _iim[i];
+      bubbleUp(idx, Pair(i,p));
+    }
+
+    /// \brief Increase the priority of an item to the given value.
+    ///
+    /// This function increases the priority of an item to the given value.
+    /// \param i The item.
+    /// \param p The priority.
+    /// \pre \e i must be stored in the heap with priority at most \e p.
+    void increase(const Item &i, const Prio &p) {
+      int idx = _iim[i];
+      bubbleDown(idx, Pair(i,p), _data.size());
+    }
+
+    /// \brief Return the state of an item.
+    ///
+    /// This method returns \c PRE_HEAP if the given item has never
+    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
+    /// and \c POST_HEAP otherwise.
+    /// In the latter case it is possible that the item will get back
+    /// to the heap again.
+    /// \param i The item.
+    State state(const Item &i) const {
+      int s = _iim[i];
+      if (s>=0) s=0;
+      return State(s);
+    }
+
+    /// \brief Set the state of an item in the heap.
+    ///
+    /// This function sets the state of the given item in the heap.
+    /// It can be used to manually clear the heap when it is important
+    /// to achive better time complexity.
+    /// \param i The item.
+    /// \param st The state. It should not be \c IN_HEAP.
+    void state(const Item& i, State st) {
+      switch (st) {
+        case POST_HEAP:
+        case PRE_HEAP:
+          if (state(i) == IN_HEAP) erase(i);
+          _iim[i] = st;
+          break;
+        case IN_HEAP:
+          break;
+      }
+    }
+
+    /// \brief Replace an item in the heap.
+    ///
+    /// This function replaces item \c i with item \c j.
+    /// Item \c i must be in the heap, while \c j must be out of the heap.
+    /// After calling this method, item \c i will be out of the
+    /// heap and \c j will be in the heap with the same prioriority
+    /// as item \c i had before.
+    void replace(const Item& i, const Item& j) {
+      int idx=_iim[i];
+      _iim.set(i, _iim[j]);
+      _iim.set(j, idx);
+      _data[idx].first=j;
+    }
+
+  }; // class KaryHeap
+
+} // namespace lemon
+
+#endif // LEMON_KARY_HEAP_H
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/lgf_reader.h
--- a/lemon/lgf_reader.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/lgf_reader.h	Thu Dec 10 17:18:25 2009 +0100
@@ -427,7 +427,7 @@
   ///   run();
   ///\endcode
   ///
-  /// By default the reader uses the first section in the file of the
+  /// By default, the reader uses the first section in the file of the
   /// proper type. If a section has an optional name, then it can be
   /// selected for reading by giving an optional name parameter to the
   /// \c nodes(), \c arcs() or \c attributes() functions.
@@ -2221,7 +2221,7 @@
     /// and the comment lines are filtered out, and the leading
     /// whitespaces are trimmed from each processed string.
     ///
-    /// For example let's see a section, which contain several
+    /// For example, let's see a section, which contain several
     /// integers, which should be inserted into a vector.
     ///\code
     ///  @numbers
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/list_graph.h
--- a/lemon/list_graph.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/list_graph.h	Thu Dec 10 17:18:25 2009 +0100
@@ -21,7 +21,7 @@
 
 ///\ingroup graphs
 ///\file
-///\brief ListDigraph, ListGraph classes.
+///\brief ListDigraph and ListGraph classes.
 
 #include <lemon/core.h>
 #include <lemon/error.h>
@@ -32,6 +32,8 @@
 
 namespace lemon {
 
+  class ListDigraph;
+
   class ListDigraphBase {
 
   protected:
@@ -62,6 +64,7 @@
 
     class Node {
       friend class ListDigraphBase;
+      friend class ListDigraph;
     protected:
 
       int id;
@@ -77,6 +80,7 @@
 
     class Arc {
       friend class ListDigraphBase;
+      friend class ListDigraph;
     protected:
 
       int id;
@@ -116,20 +120,20 @@
     void first(Arc& arc) const {
       int n;
       for(n = first_node;
-          n!=-1 && nodes[n].first_in == -1;
+          n != -1 && nodes[n].first_out == -1;
           n = nodes[n].next) {}
-      arc.id = (n == -1) ? -1 : nodes[n].first_in;
+      arc.id = (n == -1) ? -1 : nodes[n].first_out;
     }
 
     void next(Arc& arc) const {
-      if (arcs[arc.id].next_in != -1) {
-        arc.id = arcs[arc.id].next_in;
+      if (arcs[arc.id].next_out != -1) {
+        arc.id = arcs[arc.id].next_out;
       } else {
         int n;
-        for(n = nodes[arcs[arc.id].target].next;
-            n!=-1 && nodes[n].first_in == -1;
+        for(n = nodes[arcs[arc.id].source].next;
+            n != -1 && nodes[n].first_out == -1;
             n = nodes[n].next) {}
-        arc.id = (n == -1) ? -1 : nodes[n].first_in;
+        arc.id = (n == -1) ? -1 : nodes[n].first_out;
       }
     }
 
@@ -311,31 +315,27 @@
 
   ///A general directed graph structure.
 
-  ///\ref ListDigraph is a simple and fast <em>directed graph</em>
-  ///implementation based on static linked lists that are stored in
+  ///\ref ListDigraph is a versatile and fast directed graph
+  ///implementation based on linked lists that are stored in
   ///\c std::vector structures.
   ///
-  ///It conforms to the \ref concepts::Digraph "Digraph concept" and it
-  ///also provides several useful additional functionalities.
-  ///Most of the member functions and nested classes are documented
+  ///This type fully conforms to the \ref concepts::Digraph "Digraph concept"
+  ///and it also provides several useful additional functionalities.
+  ///Most of its member functions and nested classes are documented
   ///only in the concept class.
   ///
+  ///This class provides only linear time counting for nodes and arcs.
+  ///
   ///\sa concepts::Digraph
-
+  ///\sa ListGraph
   class ListDigraph : public ExtendedListDigraphBase {
     typedef ExtendedListDigraphBase Parent;
 
   private:
-    ///ListDigraph is \e not copy constructible. Use copyDigraph() instead.
-
-    ///ListDigraph is \e not copy constructible. Use copyDigraph() instead.
-    ///
+    /// Digraphs are \e not copy constructible. Use DigraphCopy instead.
     ListDigraph(const ListDigraph &) :ExtendedListDigraphBase() {};
-    ///\brief Assignment of ListDigraph to another one is \e not allowed.
-    ///Use copyDigraph() instead.
-
-    ///Assignment of ListDigraph to another one is \e not allowed.
-    ///Use copyDigraph() instead.
+    /// \brief Assignment of a digraph to another one is \e not allowed.
+    /// Use DigraphCopy instead.
     void operator=(const ListDigraph &) {}
   public:
 
@@ -347,71 +347,72 @@
 
     ///Add a new node to the digraph.
 
-    ///Add a new node to the digraph.
+    ///This function adds a new node to the digraph.
     ///\return The new node.
     Node addNode() { return Parent::addNode(); }
 
     ///Add a new arc to the digraph.
 
-    ///Add a new arc to the digraph with source node \c s
+    ///This function adds a new arc to the digraph with source node \c s
     ///and target node \c t.
     ///\return The new arc.
-    Arc addArc(const Node& s, const Node& t) {
+    Arc addArc(Node s, Node t) {
       return Parent::addArc(s, t);
     }
 
     ///\brief Erase a node from the digraph.
     ///
-    ///Erase a node from the digraph.
+    ///This function erases the given node along with its outgoing and
+    ///incoming arcs from the digraph.
     ///
-    void erase(const Node& n) { Parent::erase(n); }
+    ///\note All iterators referencing the removed node or the connected
+    ///arcs are invalidated, of course.
+    void erase(Node n) { Parent::erase(n); }
 
     ///\brief Erase an arc from the digraph.
     ///
-    ///Erase an arc from the digraph.
+    ///This function erases the given arc from the digraph.
     ///
-    void erase(const Arc& a) { Parent::erase(a); }
+    ///\note All iterators referencing the removed arc are invalidated,
+    ///of course.
+    void erase(Arc a) { Parent::erase(a); }
 
     /// Node validity check
 
-    /// This function gives back true if the given node is valid,
-    /// ie. it is a real node of the graph.
+    /// This function gives back \c true if the given node is valid,
+    /// i.e. it is a real node of the digraph.
     ///
-    /// \warning A Node pointing to a removed item
-    /// could become valid again later if new nodes are
-    /// added to the graph.
+    /// \warning A removed node could become valid again if new nodes are
+    /// added to the digraph.
     bool valid(Node n) const { return Parent::valid(n); }
 
     /// Arc validity check
 
-    /// This function gives back true if the given arc is valid,
-    /// ie. it is a real arc of the graph.
+    /// This function gives back \c true if the given arc is valid,
+    /// i.e. it is a real arc of the digraph.
     ///
-    /// \warning An Arc pointing to a removed item
-    /// could become valid again later if new nodes are
-    /// added to the graph.
+    /// \warning A removed arc could become valid again if new arcs are
+    /// added to the digraph.
     bool valid(Arc a) const { return Parent::valid(a); }
 
-    /// Change the target of \c a to \c n
+    /// Change the target node of an arc
 
-    /// Change the target of \c a to \c n
+    /// This function changes the target node of the given arc \c a to \c n.
     ///
-    ///\note The <tt>ArcIt</tt>s and <tt>OutArcIt</tt>s referencing
-    ///the changed arc remain valid. However <tt>InArcIt</tt>s are
-    ///invalidated.
+    ///\note \c ArcIt and \c OutArcIt iterators referencing the changed
+    ///arc remain valid, but \c InArcIt iterators are invalidated.
     ///
     ///\warning This functionality cannot be used together with the Snapshot
     ///feature.
     void changeTarget(Arc a, Node n) {
       Parent::changeTarget(a,n);
     }
-    /// Change the source of \c a to \c n
+    /// Change the source node of an arc
 
-    /// Change the source of \c a to \c n
+    /// This function changes the source node of the given arc \c a to \c n.
     ///
-    ///\note The <tt>InArcIt</tt>s referencing the changed arc remain
-    ///valid. However the <tt>ArcIt</tt>s and <tt>OutArcIt</tt>s are
-    ///invalidated.
+    ///\note \c InArcIt iterators referencing the changed arc remain
+    ///valid, but \c ArcIt and \c OutArcIt iterators are invalidated.
     ///
     ///\warning This functionality cannot be used together with the Snapshot
     ///feature.
@@ -419,94 +420,76 @@
       Parent::changeSource(a,n);
     }
 
-    /// Invert the direction of an arc.
+    /// Reverse the direction of an arc.
 
-    ///\note The <tt>ArcIt</tt>s referencing the changed arc remain
-    ///valid. However <tt>OutArcIt</tt>s and <tt>InArcIt</tt>s are
-    ///invalidated.
+    /// This function reverses the direction of the given arc.
+    ///\note \c ArcIt, \c OutArcIt and \c InArcIt iterators referencing
+    ///the changed arc are invalidated.
     ///
     ///\warning This functionality cannot be used together with the Snapshot
     ///feature.
-    void reverseArc(Arc e) {
-      Node t=target(e);
-      changeTarget(e,source(e));
-      changeSource(e,t);
+    void reverseArc(Arc a) {
+      Node t=target(a);
+      changeTarget(a,source(a));
+      changeSource(a,t);
     }
 
-    /// Reserve memory for nodes.
-
-    /// Using this function it is possible to avoid the superfluous memory
-    /// allocation: if you know that the digraph you want to build will
-    /// be very large (e.g. it will contain millions of nodes and/or arcs)
-    /// then it is worth reserving space for this amount before starting
-    /// to build the digraph.
-    /// \sa reserveArc
-    void reserveNode(int n) { nodes.reserve(n); };
-
-    /// Reserve memory for arcs.
-
-    /// Using this function it is possible to avoid the superfluous memory
-    /// allocation: if you know that the digraph you want to build will
-    /// be very large (e.g. it will contain millions of nodes and/or arcs)
-    /// then it is worth reserving space for this amount before starting
-    /// to build the digraph.
-    /// \sa reserveNode
-    void reserveArc(int m) { arcs.reserve(m); };
-
     ///Contract two nodes.
 
-    ///This function contracts two nodes.
-    ///Node \p b will be removed but instead of deleting
-    ///incident arcs, they will be joined to \p a.
-    ///The last parameter \p r controls whether to remove loops. \c true
-    ///means that loops will be removed.
+    ///This function contracts the given two nodes.
+    ///Node \c v is removed, but instead of deleting its
+    ///incident arcs, they are joined to node \c u.
+    ///If the last parameter \c r is \c true (this is the default value),
+    ///then the newly created loops are removed.
     ///
-    ///\note The <tt>ArcIt</tt>s referencing a moved arc remain
-    ///valid. However <tt>InArcIt</tt>s and <tt>OutArcIt</tt>s
-    ///may be invalidated.
+    ///\note The moved arcs are joined to node \c u using changeSource()
+    ///or changeTarget(), thus \c ArcIt and \c OutArcIt iterators are
+    ///invalidated for the outgoing arcs of node \c v and \c InArcIt
+    ///iterators are invalidated for the incomming arcs of \c v.
+    ///Moreover all iterators referencing node \c v or the removed 
+    ///loops are also invalidated. Other iterators remain valid.
     ///
     ///\warning This functionality cannot be used together with the Snapshot
     ///feature.
-    void contract(Node a, Node b, bool r = true)
+    void contract(Node u, Node v, bool r = true)
     {
-      for(OutArcIt e(*this,b);e!=INVALID;) {
+      for(OutArcIt e(*this,v);e!=INVALID;) {
         OutArcIt f=e;
         ++f;
-        if(r && target(e)==a) erase(e);
-        else changeSource(e,a);
+        if(r && target(e)==u) erase(e);
+        else changeSource(e,u);
         e=f;
       }
-      for(InArcIt e(*this,b);e!=INVALID;) {
+      for(InArcIt e(*this,v);e!=INVALID;) {
         InArcIt f=e;
         ++f;
-        if(r && source(e)==a) erase(e);
-        else changeTarget(e,a);
+        if(r && source(e)==u) erase(e);
+        else changeTarget(e,u);
         e=f;
       }
-      erase(b);
+      erase(v);
     }
 
     ///Split a node.
 
-    ///This function splits a node. First a new node is added to the digraph,
-    ///then the source of each outgoing arc of \c n is moved to this new node.
-    ///If \c connect is \c true (this is the default value), then a new arc
-    ///from \c n to the newly created node is also added.
+    ///This function splits the given node. First, a new node is added
+    ///to the digraph, then the source of each outgoing arc of node \c n
+    ///is moved to this new node.
+    ///If the second parameter \c connect is \c true (this is the default
+    ///value), then a new arc from node \c n to the newly created node
+    ///is also added.
     ///\return The newly created node.
     ///
-    ///\note The <tt>ArcIt</tt>s referencing a moved arc remain
-    ///valid. However <tt>InArcIt</tt>s and <tt>OutArcIt</tt>s may
-    ///be invalidated.
+    ///\note All iterators remain valid.
     ///
-    ///\warning This functionality cannot be used in conjunction with the
+    ///\warning This functionality cannot be used together with the
     ///Snapshot feature.
     Node split(Node n, bool connect = true) {
       Node b = addNode();
-      for(OutArcIt e(*this,n);e!=INVALID;) {
-        OutArcIt f=e;
-        ++f;
-        changeSource(e,b);
-        e=f;
+      nodes[b.id].first_out=nodes[n.id].first_out;
+      nodes[n.id].first_out=-1;
+      for(int i=nodes[b.id].first_out; i!=-1; i=arcs[i].next_out) {
+        arcs[i].source=b.id;
       }
       if (connect) addArc(n,b);
       return b;
@@ -514,21 +497,53 @@
 
     ///Split an arc.
 
-    ///This function splits an arc. First a new node \c b is added to
-    ///the digraph, then the original arc is re-targeted to \c
-    ///b. Finally an arc from \c b to the original target is added.
+    ///This function splits the given arc. First, a new node \c v is
+    ///added to the digraph, then the target node of the original arc
+    ///is set to \c v. Finally, an arc from \c v to the original target
+    ///is added.
+    ///\return The newly created node.
     ///
-    ///\return The newly created node.
+    ///\note \c InArcIt iterators referencing the original arc are
+    ///invalidated. Other iterators remain valid.
     ///
     ///\warning This functionality cannot be used together with the
     ///Snapshot feature.
-    Node split(Arc e) {
-      Node b = addNode();
-      addArc(b,target(e));
-      changeTarget(e,b);
-      return b;
+    Node split(Arc a) {
+      Node v = addNode();
+      addArc(v,target(a));
+      changeTarget(a,v);
+      return v;
     }
 
+    ///Clear the digraph.
+
+    ///This function erases all nodes and arcs from the digraph.
+    ///
+    ///\note All iterators of the digraph are invalidated, of course.
+    void clear() {
+      Parent::clear();
+    }
+
+    /// Reserve memory for nodes.
+
+    /// Using this function, it is possible to avoid superfluous memory
+    /// allocation: if you know that the digraph you want to build will
+    /// be large (e.g. it will contain millions of nodes and/or arcs),
+    /// then it is worth reserving space for this amount before starting
+    /// to build the digraph.
+    /// \sa reserveArc()
+    void reserveNode(int n) { nodes.reserve(n); };
+
+    /// Reserve memory for arcs.
+
+    /// Using this function, it is possible to avoid superfluous memory
+    /// allocation: if you know that the digraph you want to build will
+    /// be large (e.g. it will contain millions of nodes and/or arcs),
+    /// then it is worth reserving space for this amount before starting
+    /// to build the digraph.
+    /// \sa reserveNode()
+    void reserveArc(int m) { arcs.reserve(m); };
+
     /// \brief Class to make a snapshot of the digraph and restore
     /// it later.
     ///
@@ -537,9 +552,15 @@
     /// The newly added nodes and arcs can be removed using the
     /// restore() function.
     ///
-    /// \warning Arc and node deletions and other modifications (e.g.
-    /// contracting, splitting, reversing arcs or nodes) cannot be
+    /// \note After a state is restored, you cannot restore a later state, 
+    /// i.e. you cannot add the removed nodes and arcs again using
+    /// another Snapshot instance.
+    ///
+    /// \warning Node and arc deletions and other modifications (e.g.
+    /// reversing, contracting, splitting arcs or nodes) cannot be
     /// restored. These events invalidate the snapshot.
+    /// However, the arcs and nodes that were added to the digraph after
+    /// making the current snapshot can be removed without invalidating it.
     class Snapshot {
     protected:
 
@@ -709,39 +730,40 @@
       /// \brief Default constructor.
       ///
       /// Default constructor.
-      /// To actually make a snapshot you must call save().
+      /// You have to call save() to actually make a snapshot.
       Snapshot()
         : digraph(0), node_observer_proxy(*this),
           arc_observer_proxy(*this) {}
 
       /// \brief Constructor that immediately makes a snapshot.
       ///
-      /// This constructor immediately makes a snapshot of the digraph.
-      /// \param _digraph The digraph we make a snapshot of.
-      Snapshot(ListDigraph &_digraph)
+      /// This constructor immediately makes a snapshot of the given digraph.
+      Snapshot(ListDigraph &gr)
         : node_observer_proxy(*this),
           arc_observer_proxy(*this) {
-        attach(_digraph);
+        attach(gr);
       }
 
       /// \brief Make a snapshot.
       ///
-      /// Make a snapshot of the digraph.
-      ///
-      /// This function can be called more than once. In case of a repeated
+      /// This function makes a snapshot of the given digraph.
+      /// It can be called more than once. In case of a repeated
       /// call, the previous snapshot gets lost.
-      /// \param _digraph The digraph we make the snapshot of.
-      void save(ListDigraph &_digraph) {
+      void save(ListDigraph &gr) {
         if (attached()) {
           detach();
           clear();
         }
-        attach(_digraph);
+        attach(gr);
       }
 
       /// \brief Undo the changes until the last snapshot.
-      //
-      /// Undo the changes until the last snapshot created by save().
+      ///
+      /// This function undos the changes until the last snapshot
+      /// created by save() or Snapshot(ListDigraph&).
+      ///
+      /// \warning This method invalidates the snapshot, i.e. repeated
+      /// restoring is not supported unless you call save() again.
       void restore() {
         detach();
         for(std::list<Arc>::iterator it = added_arcs.begin();
@@ -755,9 +777,9 @@
         clear();
       }
 
-      /// \brief Gives back true when the snapshot is valid.
+      /// \brief Returns \c true if the snapshot is valid.
       ///
-      /// Gives back true when the snapshot is valid.
+      /// This function returns \c true if the snapshot is valid.
       bool valid() const {
         return attached();
       }
@@ -795,10 +817,6 @@
 
     typedef ListGraphBase Graph;
 
-    class Node;
-    class Arc;
-    class Edge;
-
     class Node {
       friend class ListGraphBase;
     protected:
@@ -848,8 +866,6 @@
       bool operator<(const Arc& arc) const {return id < arc.id;}
     };
 
-
-
     ListGraphBase()
       : nodes(), first_node(-1),
         first_free_node(-1), arcs(), first_free_arc(-1) {}
@@ -1164,31 +1180,27 @@
 
   ///A general undirected graph structure.
 
-  ///\ref ListGraph is a simple and fast <em>undirected graph</em>
-  ///implementation based on static linked lists that are stored in
+  ///\ref ListGraph is a versatile and fast undirected graph
+  ///implementation based on linked lists that are stored in
   ///\c std::vector structures.
   ///
-  ///It conforms to the \ref concepts::Graph "Graph concept" and it
-  ///also provides several useful additional functionalities.
-  ///Most of the member functions and nested classes are documented
+  ///This type fully conforms to the \ref concepts::Graph "Graph concept"
+  ///and it also provides several useful additional functionalities.
+  ///Most of its member functions and nested classes are documented
   ///only in the concept class.
   ///
+  ///This class provides only linear time counting for nodes, edges and arcs.
+  ///
   ///\sa concepts::Graph
-
+  ///\sa ListDigraph
   class ListGraph : public ExtendedListGraphBase {
     typedef ExtendedListGraphBase Parent;
 
   private:
-    ///ListGraph is \e not copy constructible. Use copyGraph() instead.
-
-    ///ListGraph is \e not copy constructible. Use copyGraph() instead.
-    ///
+    /// Graphs are \e not copy constructible. Use GraphCopy instead.
     ListGraph(const ListGraph &) :ExtendedListGraphBase()  {};
-    ///\brief Assignment of ListGraph to another one is \e not allowed.
-    ///Use copyGraph() instead.
-
-    ///Assignment of ListGraph to another one is \e not allowed.
-    ///Use copyGraph() instead.
+    /// \brief Assignment of a graph to another one is \e not allowed.
+    /// Use GraphCopy instead.
     void operator=(const ListGraph &) {}
   public:
     /// Constructor
@@ -1201,94 +1213,102 @@
 
     /// \brief Add a new node to the graph.
     ///
-    /// Add a new node to the graph.
+    /// This function adds a new node to the graph.
     /// \return The new node.
     Node addNode() { return Parent::addNode(); }
 
     /// \brief Add a new edge to the graph.
     ///
-    /// Add a new edge to the graph with source node \c s
-    /// and target node \c t.
+    /// This function adds a new edge to the graph between nodes
+    /// \c u and \c v with inherent orientation from node \c u to
+    /// node \c v.
     /// \return The new edge.
-    Edge addEdge(const Node& s, const Node& t) {
-      return Parent::addEdge(s, t);
+    Edge addEdge(Node u, Node v) {
+      return Parent::addEdge(u, v);
     }
 
-    /// \brief Erase a node from the graph.
+    ///\brief Erase a node from the graph.
     ///
-    /// Erase a node from the graph.
+    /// This function erases the given node along with its incident arcs
+    /// from the graph.
     ///
-    void erase(const Node& n) { Parent::erase(n); }
+    /// \note All iterators referencing the removed node or the incident
+    /// edges are invalidated, of course.
+    void erase(Node n) { Parent::erase(n); }
 
-    /// \brief Erase an edge from the graph.
+    ///\brief Erase an edge from the graph.
     ///
-    /// Erase an edge from the graph.
+    /// This function erases the given edge from the graph.
     ///
-    void erase(const Edge& e) { Parent::erase(e); }
+    /// \note All iterators referencing the removed edge are invalidated,
+    /// of course.
+    void erase(Edge e) { Parent::erase(e); }
     /// Node validity check
 
-    /// This function gives back true if the given node is valid,
-    /// ie. it is a real node of the graph.
+    /// This function gives back \c true if the given node is valid,
+    /// i.e. it is a real node of the graph.
     ///
-    /// \warning A Node pointing to a removed item
-    /// could become valid again later if new nodes are
+    /// \warning A removed node could become valid again if new nodes are
     /// added to the graph.
     bool valid(Node n) const { return Parent::valid(n); }
+    /// Edge validity check
+
+    /// This function gives back \c true if the given edge is valid,
+    /// i.e. it is a real edge of the graph.
+    ///
+    /// \warning A removed edge could become valid again if new edges are
+    /// added to the graph.
+    bool valid(Edge e) const { return Parent::valid(e); }
     /// Arc validity check
 
-    /// This function gives back true if the given arc is valid,
-    /// ie. it is a real arc of the graph.
+    /// This function gives back \c true if the given arc is valid,
+    /// i.e. it is a real arc of the graph.
     ///
-    /// \warning An Arc pointing to a removed item
-    /// could become valid again later if new edges are
+    /// \warning A removed arc could become valid again if new edges are
     /// added to the graph.
     bool valid(Arc a) const { return Parent::valid(a); }
-    /// Edge validity check
 
-    /// This function gives back true if the given edge is valid,
-    /// ie. it is a real arc of the graph.
+    /// \brief Change the first node of an edge.
     ///
-    /// \warning A Edge pointing to a removed item
-    /// could become valid again later if new edges are
-    /// added to the graph.
-    bool valid(Edge e) const { return Parent::valid(e); }
-    /// \brief Change the end \c u of \c e to \c n
+    /// This function changes the first node of the given edge \c e to \c n.
     ///
-    /// This function changes the end \c u of \c e to node \c n.
-    ///
-    ///\note The <tt>EdgeIt</tt>s and <tt>ArcIt</tt>s referencing the
-    ///changed edge are invalidated and if the changed node is the
-    ///base node of an iterator then this iterator is also
-    ///invalidated.
+    ///\note \c EdgeIt and \c ArcIt iterators referencing the
+    ///changed edge are invalidated and all other iterators whose
+    ///base node is the changed node are also invalidated.
     ///
     ///\warning This functionality cannot be used together with the
     ///Snapshot feature.
     void changeU(Edge e, Node n) {
       Parent::changeU(e,n);
     }
-    /// \brief Change the end \c v of \c e to \c n
+    /// \brief Change the second node of an edge.
     ///
-    /// This function changes the end \c v of \c e to \c n.
+    /// This function changes the second node of the given edge \c e to \c n.
     ///
-    ///\note The <tt>EdgeIt</tt>s referencing the changed edge remain
-    ///valid, however <tt>ArcIt</tt>s and if the changed node is the
-    ///base node of an iterator then this iterator is invalidated.
+    ///\note \c EdgeIt iterators referencing the changed edge remain
+    ///valid, but \c ArcIt iterators referencing the changed edge and
+    ///all other iterators whose base node is the changed node are also
+    ///invalidated.
     ///
     ///\warning This functionality cannot be used together with the
     ///Snapshot feature.
     void changeV(Edge e, Node n) {
       Parent::changeV(e,n);
     }
+
     /// \brief Contract two nodes.
     ///
-    /// This function contracts two nodes.
-    /// Node \p b will be removed but instead of deleting
-    /// its neighboring arcs, they will be joined to \p a.
-    /// The last parameter \p r controls whether to remove loops. \c true
-    /// means that loops will be removed.
+    /// This function contracts the given two nodes.
+    /// Node \c b is removed, but instead of deleting
+    /// its incident edges, they are joined to node \c a.
+    /// If the last parameter \c r is \c true (this is the default value),
+    /// then the newly created loops are removed.
     ///
-    /// \note The <tt>ArcIt</tt>s referencing a moved arc remain
-    /// valid.
+    /// \note The moved edges are joined to node \c a using changeU()
+    /// or changeV(), thus all edge and arc iterators whose base node is
+    /// \c b are invalidated.
+    /// Moreover all iterators referencing node \c b or the removed 
+    /// loops are also invalidated. Other iterators remain valid.
     ///
     ///\warning This functionality cannot be used together with the
     ///Snapshot feature.
@@ -1307,6 +1327,34 @@
       erase(b);
     }
 
+    ///Clear the graph.
+
+    ///This function erases all nodes and arcs from the graph.
+    ///
+    ///\note All iterators of the graph are invalidated, of course.
+    void clear() {
+      Parent::clear();
+    }
+
+    /// Reserve memory for nodes.
+
+    /// Using this function, it is possible to avoid superfluous memory
+    /// allocation: if you know that the graph you want to build will
+    /// be large (e.g. it will contain millions of nodes and/or edges),
+    /// then it is worth reserving space for this amount before starting
+    /// to build the graph.
+    /// \sa reserveEdge()
+    void reserveNode(int n) { nodes.reserve(n); };
+
+    /// Reserve memory for edges.
+
+    /// Using this function, it is possible to avoid superfluous memory
+    /// allocation: if you know that the graph you want to build will
+    /// be large (e.g. it will contain millions of nodes and/or edges),
+    /// then it is worth reserving space for this amount before starting
+    /// to build the graph.
+    /// \sa reserveNode()
+    void reserveEdge(int m) { arcs.reserve(2 * m); };
 
     /// \brief Class to make a snapshot of the graph and restore
     /// it later.
@@ -1316,9 +1364,15 @@
     /// The newly added nodes and edges can be removed
     /// using the restore() function.
     ///
-    /// \warning Edge and node deletions and other modifications
-    /// (e.g. changing nodes of edges, contracting nodes) cannot be
-    /// restored. These events invalidate the snapshot.
+    /// \note After a state is restored, you cannot restore a later state, 
+    /// i.e. you cannot add the removed nodes and edges again using
+    /// another Snapshot instance.
+    ///
+    /// \warning Node and edge deletions and other modifications
+    /// (e.g. changing the end-nodes of edges or contracting nodes)
+    /// cannot be restored. These events invalidate the snapshot.
+    /// However, the edges and nodes that were added to the graph after
+    /// making the current snapshot can be removed without invalidating it.
     class Snapshot {
     protected:
 
@@ -1488,39 +1542,40 @@
       /// \brief Default constructor.
       ///
       /// Default constructor.
-      /// To actually make a snapshot you must call save().
+      /// You have to call save() to actually make a snapshot.
       Snapshot()
         : graph(0), node_observer_proxy(*this),
           edge_observer_proxy(*this) {}
 
       /// \brief Constructor that immediately makes a snapshot.
       ///
-      /// This constructor immediately makes a snapshot of the graph.
-      /// \param _graph The graph we make a snapshot of.
-      Snapshot(ListGraph &_graph)
+      /// This constructor immediately makes a snapshot of the given graph.
+      Snapshot(ListGraph &gr)
         : node_observer_proxy(*this),
           edge_observer_proxy(*this) {
-        attach(_graph);
+        attach(gr);
       }
 
       /// \brief Make a snapshot.
       ///
-      /// Make a snapshot of the graph.
-      ///
-      /// This function can be called more than once. In case of a repeated
+      /// This function makes a snapshot of the given graph.
+      /// It can be called more than once. In case of a repeated
       /// call, the previous snapshot gets lost.
-      /// \param _graph The graph we make the snapshot of.
-      void save(ListGraph &_graph) {
+      void save(ListGraph &gr) {
         if (attached()) {
           detach();
           clear();
         }
-        attach(_graph);
+        attach(gr);
       }
 
       /// \brief Undo the changes until the last snapshot.
-      //
-      /// Undo the changes until the last snapshot created by save().
+      ///
+      /// This function undos the changes until the last snapshot
+      /// created by save() or Snapshot(ListGraph&).
+      ///
+      /// \warning This method invalidates the snapshot, i.e. repeated
+      /// restoring is not supported unless you call save() again.
       void restore() {
         detach();
         for(std::list<Edge>::iterator it = added_edges.begin();
@@ -1534,9 +1589,9 @@
         clear();
       }
 
-      /// \brief Gives back true when the snapshot is valid.
+      /// \brief Returns \c true if the snapshot is valid.
       ///
-      /// Gives back true when the snapshot is valid.
+      /// This function returns \c true if the snapshot is valid.
       bool valid() const {
         return attached();
       }
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/lp_base.h
--- a/lemon/lp_base.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/lp_base.h	Thu Dec 10 17:18:25 2009 +0100
@@ -146,7 +146,7 @@
 
     ///Iterator for iterate over the columns of an LP problem
 
-    /// Its usage is quite simple, for example you can count the number
+    /// Its usage is quite simple, for example, you can count the number
     /// of columns in an LP \c lp:
     ///\code
     /// int count=0;
@@ -241,7 +241,7 @@
 
     ///Iterator for iterate over the rows of an LP problem
 
-    /// Its usage is quite simple, for example you can count the number
+    /// Its usage is quite simple, for example, you can count the number
     /// of rows in an LP \c lp:
     ///\code
     /// int count=0;
@@ -943,6 +943,14 @@
     virtual int _addCol() = 0;
     virtual int _addRow() = 0;
 
+    virtual int _addRow(Value l, ExprIterator b, ExprIterator e, Value u) {
+      int row = _addRow();
+      _setRowCoeffs(row, b, e);
+      _setRowLowerBound(row, l);
+      _setRowUpperBound(row, u);
+      return row;
+    }
+
     virtual void _eraseCol(int col) = 0;
     virtual void _eraseRow(int row) = 0;
 
@@ -1207,8 +1215,10 @@
     ///\param u is the upper bound (\ref INF means no bound)
     ///\return The created row.
     Row addRow(Value l,const Expr &e, Value u) {
-      Row r=addRow();
-      row(r,l,e,u);
+      Row r;
+      e.simplify();
+      r._id = _addRowId(_addRow(l - *e, ExprIterator(e.comps.begin(), cols),
+                                ExprIterator(e.comps.end(), cols), u - *e));
       return r;
     }
 
@@ -1217,8 +1227,12 @@
     ///\param c is a linear expression (see \ref Constr)
     ///\return The created row.
     Row addRow(const Constr &c) {
-      Row r=addRow();
-      row(r,c);
+      Row r;
+      c.expr().simplify();
+      r._id = _addRowId(_addRow(c.lowerBounded()?c.lowerBound():-INF, 
+                                ExprIterator(c.expr().comps.begin(), cols),
+                                ExprIterator(c.expr().comps.end(), cols),
+                                c.upperBounded()?c.upperBound():INF));
       return r;
     }
     ///Erase a column (i.e a variable) from the LP
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/lp_skeleton.cc
--- a/lemon/lp_skeleton.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/lp_skeleton.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -32,6 +32,11 @@
     return ++row_num;
   }
 
+  int SkeletonSolverBase::_addRow(Value, ExprIterator, ExprIterator, Value)
+  {
+    return ++row_num;
+  }
+
   void SkeletonSolverBase::_eraseCol(int) {}
   void SkeletonSolverBase::_eraseRow(int) {}
 
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/lp_skeleton.h
--- a/lemon/lp_skeleton.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/lp_skeleton.h	Thu Dec 10 17:18:25 2009 +0100
@@ -45,6 +45,8 @@
     /// \e
     virtual int _addRow();
     /// \e
+    virtual int _addRow(Value l, ExprIterator b, ExprIterator e, Value u);
+    /// \e
     virtual void _eraseCol(int i);
     /// \e
     virtual void _eraseRow(int i);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/maps.h
--- a/lemon/maps.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/maps.h	Thu Dec 10 17:18:25 2009 +0100
@@ -22,6 +22,7 @@
 #include <iterator>
 #include <functional>
 #include <vector>
+#include <map>
 
 #include <lemon/core.h>
 
@@ -29,8 +30,6 @@
 ///\ingroup maps
 ///\brief Miscellaneous property maps
 
-#include <map>
-
 namespace lemon {
 
   /// \addtogroup maps
@@ -57,7 +56,7 @@
   /// its type definitions, or if you have to provide a writable map,
   /// but data written to it is not required (i.e. it will be sent to
   /// <tt>/dev/null</tt>).
-  /// It conforms the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
+  /// It conforms to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
   ///
   /// \sa ConstMap
   template<typename K, typename V>
@@ -90,7 +89,7 @@
   /// value to each key.
   ///
   /// In other aspects it is equivalent to \c NullMap.
-  /// So it conforms the \ref concepts::ReadWriteMap "ReadWriteMap"
+  /// So it conforms to the \ref concepts::ReadWriteMap "ReadWriteMap"
   /// concept, but it absorbs the data written to it.
   ///
   /// The simplest way of using this map is through the constMap()
@@ -159,7 +158,7 @@
   /// value to each key.
   ///
   /// In other aspects it is equivalent to \c NullMap.
-  /// So it conforms the \ref concepts::ReadWriteMap "ReadWriteMap"
+  /// So it conforms to the \ref concepts::ReadWriteMap "ReadWriteMap"
   /// concept, but it absorbs the data written to it.
   ///
   /// The simplest way of using this map is through the constMap()
@@ -231,10 +230,10 @@
   ///
   /// This map is essentially a wrapper for \c std::vector. It assigns
   /// values to integer keys from the range <tt>[0..size-1]</tt>.
-  /// It can be used with some data structures, for example
-  /// \c UnionFind, \c BinHeap, when the used items are small
-  /// integers. This map conforms the \ref concepts::ReferenceMap
-  /// "ReferenceMap" concept.
+  /// It can be used together with some data structures, e.g.
+  /// heap types and \c UnionFind, when the used items are small
+  /// integers. This map conforms to the \ref concepts::ReferenceMap
+  /// "ReferenceMap" concept. 
   ///
   /// The simplest way of using this map is through the rangeMap()
   /// function.
@@ -341,7 +340,7 @@
   /// that you can specify a default value for the keys that are not
   /// stored actually. This value can be different from the default
   /// contructed value (i.e. \c %Value()).
-  /// This type conforms the \ref concepts::ReferenceMap "ReferenceMap"
+  /// This type conforms to the \ref concepts::ReferenceMap "ReferenceMap"
   /// concept.
   ///
   /// This map is useful if a default value should be assigned to most of
@@ -349,9 +348,9 @@
   /// keys (i.e. the map is "sparse").
   /// The name of this type also refers to this important usage.
   ///
-  /// Apart form that this map can be used in many other cases since it
+  /// Apart form that, this map can be used in many other cases since it
   /// is based on \c std::map, which is a general associative container.
-  /// However keep in mind that it is usually not as efficient as other
+  /// However, keep in mind that it is usually not as efficient as other
   /// maps.
   ///
   /// The simplest way of using this map is through the sparseMap()
@@ -707,7 +706,7 @@
   /// "readable map" to another type using the default conversion.
   /// The \c Key type of it is inherited from \c M and the \c Value
   /// type is \c V.
-  /// This type conforms the \ref concepts::ReadMap "ReadMap" concept.
+  /// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.
   ///
   /// The simplest way of using this map is through the convertMap()
   /// function.
@@ -1786,22 +1785,22 @@
   ///
   /// The most important usage of it is storing certain nodes or arcs
   /// that were marked \c true by an algorithm.
-  /// For example it makes easier to store the nodes in the processing
+  /// For example, it makes easier to store the nodes in the processing
   /// order of Dfs algorithm, as the following examples show.
   /// \code
   ///   std::vector<Node> v;
-  ///   dfs(g,s).processedMap(loggerBoolMap(std::back_inserter(v))).run();
+  ///   dfs(g).processedMap(loggerBoolMap(std::back_inserter(v))).run(s);
   /// \endcode
   /// \code
   ///   std::vector<Node> v(countNodes(g));
-  ///   dfs(g,s).processedMap(loggerBoolMap(v.begin())).run();
+  ///   dfs(g).processedMap(loggerBoolMap(v.begin())).run(s);
   /// \endcode
   ///
   /// \note The container of the iterator must contain enough space
   /// for the elements or the iterator should be an inserter iterator.
   ///
   /// \note LoggerBoolMap is just \ref concepts::WriteMap "writable", so
-  /// it cannot be used when a readable map is needed, for example as
+  /// it cannot be used when a readable map is needed, for example, as
   /// \c ReachedMap for \c Bfs, \c Dfs and \c Dijkstra algorithms.
   ///
   /// \relates LoggerBoolMap
@@ -1818,7 +1817,7 @@
   /// \brief Provides an immutable and unique id for each item in a graph.
   ///
   /// IdMap provides a unique and immutable id for each item of the
-  /// same type (\c Node, \c Arc or \c Edge) in a graph. This id is 
+  /// same type (\c Node, \c Arc or \c Edge) in a graph. This id is
   ///  - \b unique: different items get different ids,
   ///  - \b immutable: the id of an item does not change (even if you
   ///    delete other nodes).
@@ -1826,7 +1825,7 @@
   /// Using this map you get access (i.e. can read) the inner id values of
   /// the items stored in the graph, which is returned by the \c id()
   /// function of the graph. This map can be inverted with its member
-  /// class \c InverseMap or with the \c operator() member.
+  /// class \c InverseMap or with the \c operator()() member.
   ///
   /// \tparam GR The graph type.
   /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
@@ -1866,9 +1865,11 @@
 
   public:
 
-    /// \brief This class represents the inverse of its owner (IdMap).
+    /// \brief The inverse map type of IdMap.
     ///
-    /// This class represents the inverse of its owner (IdMap).
+    /// The inverse map type of IdMap. The subscript operator gives back
+    /// an item by its id.
+    /// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.
     /// \see inverse()
     class InverseMap {
     public:
@@ -1883,9 +1884,9 @@
       /// Constructor for creating an id-to-item map.
       explicit InverseMap(const IdMap& map) : _graph(map._graph) {}
 
-      /// \brief Gives back the given item from its id.
+      /// \brief Gives back an item by its id.
       ///
-      /// Gives back the given item from its id.
+      /// Gives back an item by its id.
       Item operator[](int id) const { return _graph->fromId(id, Item());}
 
     private:
@@ -1898,16 +1899,34 @@
     InverseMap inverse() const { return InverseMap(*_graph);}
   };
 
+  /// \brief Returns an \c IdMap class.
+  ///
+  /// This function just returns an \c IdMap class.
+  /// \relates IdMap
+  template <typename K, typename GR>
+  inline IdMap<GR, K> idMap(const GR& graph) {
+    return IdMap<GR, K>(graph);
+  }
 
   /// \brief General cross reference graph map type.
 
   /// This class provides simple invertable graph maps.
-  /// It wraps an arbitrary \ref concepts::ReadWriteMap "ReadWriteMap"
-  /// and if a key is set to a new value then store it
-  /// in the inverse map.
+  /// It wraps a standard graph map (\c NodeMap, \c ArcMap or \c EdgeMap)
+  /// and if a key is set to a new value, then stores it in the inverse map.
+  /// The graph items can be accessed by their values either using
+  /// \c InverseMap or \c operator()(), and the values of the map can be
+  /// accessed with an STL compatible forward iterator (\c ValueIt).
+  /// 
+  /// This map is intended to be used when all associated values are
+  /// different (the map is actually invertable) or there are only a few
+  /// items with the same value.
+  /// Otherwise consider to use \c IterableValueMap, which is more 
+  /// suitable and more efficient for such cases. It provides iterators
+  /// to traverse the items with the same associated value, but
+  /// it does not have \c InverseMap.
   ///
-  /// The values of the map can be accessed
-  /// with stl compatible forward iterator.
+  /// This type is not reference map, so it cannot be modified with
+  /// the subscript operator.
   ///
   /// \tparam GR The graph type.
   /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
@@ -1923,7 +1942,7 @@
     typedef typename ItemSetTraits<GR, K>::
       template Map<V>::Type Map;
 
-    typedef std::map<V, K> Container;
+    typedef std::multimap<V, K> Container;
     Container _inv_map;
 
   public:
@@ -1945,54 +1964,66 @@
 
     /// \brief Forward iterator for values.
     ///
-    /// This iterator is an stl compatible forward
+    /// This iterator is an STL compatible forward
     /// iterator on the values of the map. The values can
     /// be accessed in the <tt>[beginValue, endValue)</tt> range.
-    class ValueIterator
+    /// They are considered with multiplicity, so each value is
+    /// traversed for each item it is assigned to.
+    class ValueIt
       : public std::iterator<std::forward_iterator_tag, Value> {
       friend class CrossRefMap;
     private:
-      ValueIterator(typename Container::const_iterator _it)
+      ValueIt(typename Container::const_iterator _it)
         : it(_it) {}
     public:
 
-      ValueIterator() {}
-
-      ValueIterator& operator++() { ++it; return *this; }
-      ValueIterator operator++(int) {
-        ValueIterator tmp(*this);
+      /// Constructor
+      ValueIt() {}
+
+      /// \e
+      ValueIt& operator++() { ++it; return *this; }
+      /// \e
+      ValueIt operator++(int) {
+        ValueIt tmp(*this);
         operator++();
         return tmp;
       }
 
+      /// \e
       const Value& operator*() const { return it->first; }
+      /// \e
       const Value* operator->() const { return &(it->first); }
 
-      bool operator==(ValueIterator jt) const { return it == jt.it; }
-      bool operator!=(ValueIterator jt) const { return it != jt.it; }
+      /// \e
+      bool operator==(ValueIt jt) const { return it == jt.it; }
+      /// \e
+      bool operator!=(ValueIt jt) const { return it != jt.it; }
 
     private:
       typename Container::const_iterator it;
     };
+    
+    /// Alias for \c ValueIt
+    typedef ValueIt ValueIterator;
 
     /// \brief Returns an iterator to the first value.
     ///
-    /// Returns an stl compatible iterator to the
+    /// Returns an STL compatible iterator to the
     /// first value of the map. The values of the
     /// map can be accessed in the <tt>[beginValue, endValue)</tt>
     /// range.
-    ValueIterator beginValue() const {
-      return ValueIterator(_inv_map.begin());
+    ValueIt beginValue() const {
+      return ValueIt(_inv_map.begin());
     }
 
     /// \brief Returns an iterator after the last value.
     ///
-    /// Returns an stl compatible iterator after the
+    /// Returns an STL compatible iterator after the
     /// last value of the map. The values of the
     /// map can be accessed in the <tt>[beginValue, endValue)</tt>
     /// range.
-    ValueIterator endValue() const {
-      return ValueIterator(_inv_map.end());
+    ValueIt endValue() const {
+      return ValueIt(_inv_map.end());
     }
 
     /// \brief Sets the value associated with the given key.
@@ -2000,11 +2031,15 @@
     /// Sets the value associated with the given key.
     void set(const Key& key, const Value& val) {
       Value oldval = Map::operator[](key);
-      typename Container::iterator it = _inv_map.find(oldval);
-      if (it != _inv_map.end() && it->second == key) {
-        _inv_map.erase(it);
+      typename Container::iterator it;
+      for (it = _inv_map.equal_range(oldval).first;
+           it != _inv_map.equal_range(oldval).second; ++it) {
+        if (it->second == key) {
+          _inv_map.erase(it);
+          break;
+        }
       }
-      _inv_map.insert(make_pair(val, key));
+      _inv_map.insert(std::make_pair(val, key));
       Map::set(key, val);
     }
 
@@ -2016,13 +2051,24 @@
       return Map::operator[](key);
     }
 
-    /// \brief Gives back the item by its value.
+    /// \brief Gives back an item by its value.
     ///
-    /// Gives back the item by its value.
-    Key operator()(const Value& key) const {
-      typename Container::const_iterator it = _inv_map.find(key);
+    /// This function gives back an item that is assigned to
+    /// the given value or \c INVALID if no such item exists.
+    /// If there are more items with the same associated value,
+    /// only one of them is returned.
+    Key operator()(const Value& val) const {
+      typename Container::const_iterator it = _inv_map.find(val);
       return it != _inv_map.end() ? it->second : INVALID;
     }
+    
+    /// \brief Returns the number of items with the given value.
+    ///
+    /// This function returns the number of items with the given value
+    /// associated with it.
+    int count(const Value &val) const {
+      return _inv_map.count(val);
+    }
 
   protected:
 
@@ -2032,9 +2078,13 @@
     /// \c AlterationNotifier.
     virtual void erase(const Key& key) {
       Value val = Map::operator[](key);
-      typename Container::iterator it = _inv_map.find(val);
-      if (it != _inv_map.end() && it->second == key) {
-        _inv_map.erase(it);
+      typename Container::iterator it;
+      for (it = _inv_map.equal_range(val).first;
+           it != _inv_map.equal_range(val).second; ++it) {
+        if (it->second == key) {
+          _inv_map.erase(it);
+          break;
+        }
       }
       Map::erase(key);
     }
@@ -2046,9 +2096,13 @@
     virtual void erase(const std::vector<Key>& keys) {
       for (int i = 0; i < int(keys.size()); ++i) {
         Value val = Map::operator[](keys[i]);
-        typename Container::iterator it = _inv_map.find(val);
-        if (it != _inv_map.end() && it->second == keys[i]) {
-          _inv_map.erase(it);
+        typename Container::iterator it;
+        for (it = _inv_map.equal_range(val).first;
+             it != _inv_map.equal_range(val).second; ++it) {
+          if (it->second == keys[i]) {
+            _inv_map.erase(it);
+            break;
+          }
         }
       }
       Map::erase(keys);
@@ -2065,10 +2119,12 @@
 
   public:
 
-    /// \brief The inverse map type.
+    /// \brief The inverse map type of CrossRefMap.
     ///
-    /// The inverse of this map. The subscript operator of the map
-    /// gives back the item that was last assigned to the value.
+    /// The inverse map type of CrossRefMap. The subscript operator gives
+    /// back an item by its value.
+    /// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.
+    /// \see inverse()
     class InverseMap {
     public:
       /// \brief Constructor
@@ -2084,8 +2140,9 @@
 
       /// \brief Subscript operator.
       ///
-      /// Subscript operator. It gives back the item
-      /// that was last assigned to the given value.
+      /// Subscript operator. It gives back an item
+      /// that is assigned to the given value or \c INVALID
+      /// if no such item exists.
       Value operator[](const Key& key) const {
         return _inverted(key);
       }
@@ -2094,20 +2151,20 @@
       const CrossRefMap& _inverted;
     };
 
-    /// \brief It gives back the read-only inverse map.
+    /// \brief Gives back the inverse of the map.
     ///
-    /// It gives back the read-only inverse map.
+    /// Gives back the inverse of the CrossRefMap.
     InverseMap inverse() const {
       return InverseMap(*this);
     }
 
   };
 
-  /// \brief Provides continuous and unique ID for the
+  /// \brief Provides continuous and unique id for the
   /// items of a graph.
   ///
   /// RangeIdMap provides a unique and continuous
-  /// ID for each item of a given type (\c Node, \c Arc or
+  /// id for each item of a given type (\c Node, \c Arc or
   /// \c Edge) in a graph. This id is
   ///  - \b unique: different items get different ids,
   ///  - \b continuous: the range of the ids is the set of integers
@@ -2118,7 +2175,7 @@
   /// Thus this id is not (necessarily) the same as what can get using
   /// the \c id() function of the graph or \ref IdMap.
   /// This map can be inverted with its member class \c InverseMap,
-  /// or with the \c operator() member.
+  /// or with the \c operator()() member.
   ///
   /// \tparam GR The graph type.
   /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
@@ -2246,16 +2303,16 @@
       _inv_map[pi] = q;
     }
 
-    /// \brief Gives back the \e RangeId of the item
+    /// \brief Gives back the \e range \e id of the item
     ///
-    /// Gives back the \e RangeId of the item.
+    /// Gives back the \e range \e id of the item.
     int operator[](const Item& item) const {
       return Map::operator[](item);
     }
 
-    /// \brief Gives back the item belonging to a \e RangeId
-    /// 
-    /// Gives back the item belonging to a \e RangeId.
+    /// \brief Gives back the item belonging to a \e range \e id
+    ///
+    /// Gives back the item belonging to the given \e range \e id.
     Item operator()(int id) const {
       return _inv_map[id];
     }
@@ -2269,7 +2326,9 @@
 
     /// \brief The inverse map type of RangeIdMap.
     ///
-    /// The inverse map type of RangeIdMap.
+    /// The inverse map type of RangeIdMap. The subscript operator gives
+    /// back an item by its \e range \e id.
+    /// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.
     class InverseMap {
     public:
       /// \brief Constructor
@@ -2287,7 +2346,7 @@
       /// \brief Subscript operator.
       ///
       /// Subscript operator. It gives back the item
-      /// that the descriptor currently belongs to.
+      /// that the given \e range \e id currently belongs to.
       Value operator[](const Key& key) const {
         return _inverted(key);
       }
@@ -2305,12 +2364,932 @@
 
     /// \brief Gives back the inverse of the map.
     ///
-    /// Gives back the inverse of the map.
+    /// Gives back the inverse of the RangeIdMap.
     const InverseMap inverse() const {
       return InverseMap(*this);
     }
   };
 
+  /// \brief Returns a \c RangeIdMap class.
+  ///
+  /// This function just returns an \c RangeIdMap class.
+  /// \relates RangeIdMap
+  template <typename K, typename GR>
+  inline RangeIdMap<GR, K> rangeIdMap(const GR& graph) {
+    return RangeIdMap<GR, K>(graph);
+  }
+  
+  /// \brief Dynamic iterable \c bool map.
+  ///
+  /// This class provides a special graph map type which can store a
+  /// \c bool value for graph items (\c Node, \c Arc or \c Edge).
+  /// For both \c true and \c false values it is possible to iterate on
+  /// the keys mapped to the value.
+  ///
+  /// This type is a reference map, so it can be modified with the
+  /// subscript operator.
+  ///
+  /// \tparam GR The graph type.
+  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
+  /// \c GR::Edge).
+  ///
+  /// \see IterableIntMap, IterableValueMap
+  /// \see CrossRefMap
+  template <typename GR, typename K>
+  class IterableBoolMap
+    : protected ItemSetTraits<GR, K>::template Map<int>::Type {
+  private:
+    typedef GR Graph;
+
+    typedef typename ItemSetTraits<GR, K>::ItemIt KeyIt;
+    typedef typename ItemSetTraits<GR, K>::template Map<int>::Type Parent;
+
+    std::vector<K> _array;
+    int _sep;
+
+  public:
+
+    /// Indicates that the map is reference map.
+    typedef True ReferenceMapTag;
+
+    /// The key type
+    typedef K Key;
+    /// The value type
+    typedef bool Value;
+    /// The const reference type.
+    typedef const Value& ConstReference;
+
+  private:
+
+    int position(const Key& key) const {
+      return Parent::operator[](key);
+    }
+
+  public:
+
+    /// \brief Reference to the value of the map.
+    ///
+    /// This class is similar to the \c bool type. It can be converted to
+    /// \c bool and it provides the same operators.
+    class Reference {
+      friend class IterableBoolMap;
+    private:
+      Reference(IterableBoolMap& map, const Key& key)
+        : _key(key), _map(map) {}
+    public:
+
+      Reference& operator=(const Reference& value) {
+        _map.set(_key, static_cast<bool>(value));
+         return *this;
+      }
+
+      operator bool() const {
+        return static_cast<const IterableBoolMap&>(_map)[_key];
+      }
+
+      Reference& operator=(bool value) {
+        _map.set(_key, value);
+        return *this;
+      }
+      Reference& operator&=(bool value) {
+        _map.set(_key, _map[_key] & value);
+        return *this;
+      }
+      Reference& operator|=(bool value) {
+        _map.set(_key, _map[_key] | value);
+        return *this;
+      }
+      Reference& operator^=(bool value) {
+        _map.set(_key, _map[_key] ^ value);
+        return *this;
+      }
+    private:
+      Key _key;
+      IterableBoolMap& _map;
+    };
+
+    /// \brief Constructor of the map with a default value.
+    ///
+    /// Constructor of the map with a default value.
+    explicit IterableBoolMap(const Graph& graph, bool def = false)
+      : Parent(graph) {
+      typename Parent::Notifier* nf = Parent::notifier();
+      Key it;
+      for (nf->first(it); it != INVALID; nf->next(it)) {
+        Parent::set(it, _array.size());
+        _array.push_back(it);
+      }
+      _sep = (def ? _array.size() : 0);
+    }
+
+    /// \brief Const subscript operator of the map.
+    ///
+    /// Const subscript operator of the map.
+    bool operator[](const Key& key) const {
+      return position(key) < _sep;
+    }
+
+    /// \brief Subscript operator of the map.
+    ///
+    /// Subscript operator of the map.
+    Reference operator[](const Key& key) {
+      return Reference(*this, key);
+    }
+
+    /// \brief Set operation of the map.
+    ///
+    /// Set operation of the map.
+    void set(const Key& key, bool value) {
+      int pos = position(key);
+      if (value) {
+        if (pos < _sep) return;
+        Key tmp = _array[_sep];
+        _array[_sep] = key;
+        Parent::set(key, _sep);
+        _array[pos] = tmp;
+        Parent::set(tmp, pos);
+        ++_sep;
+      } else {
+        if (pos >= _sep) return;
+        --_sep;
+        Key tmp = _array[_sep];
+        _array[_sep] = key;
+        Parent::set(key, _sep);
+        _array[pos] = tmp;
+        Parent::set(tmp, pos);
+      }
+    }
+
+    /// \brief Set all items.
+    ///
+    /// Set all items in the map.
+    /// \note Constant time operation.
+    void setAll(bool value) {
+      _sep = (value ? _array.size() : 0);
+    }
+
+    /// \brief Returns the number of the keys mapped to \c true.
+    ///
+    /// Returns the number of the keys mapped to \c true.
+    int trueNum() const {
+      return _sep;
+    }
+
+    /// \brief Returns the number of the keys mapped to \c false.
+    ///
+    /// Returns the number of the keys mapped to \c false.
+    int falseNum() const {
+      return _array.size() - _sep;
+    }
+
+    /// \brief Iterator for the keys mapped to \c true.
+    ///
+    /// Iterator for the keys mapped to \c true. It works
+    /// like a graph item iterator, it can be converted to
+    /// the key type of the map, incremented with \c ++ operator, and
+    /// if the iterator leaves the last valid key, it will be equal to
+    /// \c INVALID.
+    class TrueIt : public Key {
+    public:
+      typedef Key Parent;
+
+      /// \brief Creates an iterator.
+      ///
+      /// Creates an iterator. It iterates on the
+      /// keys mapped to \c true.
+      /// \param map The IterableBoolMap.
+      explicit TrueIt(const IterableBoolMap& map)
+        : Parent(map._sep > 0 ? map._array[map._sep - 1] : INVALID),
+          _map(&map) {}
+
+      /// \brief Invalid constructor \& conversion.
+      ///
+      /// This constructor initializes the iterator to be invalid.
+      /// \sa Invalid for more details.
+      TrueIt(Invalid) : Parent(INVALID), _map(0) {}
+
+      /// \brief Increment operator.
+      ///
+      /// Increment operator.
+      TrueIt& operator++() {
+        int pos = _map->position(*this);
+        Parent::operator=(pos > 0 ? _map->_array[pos - 1] : INVALID);
+        return *this;
+      }
+
+    private:
+      const IterableBoolMap* _map;
+    };
+
+    /// \brief Iterator for the keys mapped to \c false.
+    ///
+    /// Iterator for the keys mapped to \c false. It works
+    /// like a graph item iterator, it can be converted to
+    /// the key type of the map, incremented with \c ++ operator, and
+    /// if the iterator leaves the last valid key, it will be equal to
+    /// \c INVALID.
+    class FalseIt : public Key {
+    public:
+      typedef Key Parent;
+
+      /// \brief Creates an iterator.
+      ///
+      /// Creates an iterator. It iterates on the
+      /// keys mapped to \c false.
+      /// \param map The IterableBoolMap.
+      explicit FalseIt(const IterableBoolMap& map)
+        : Parent(map._sep < int(map._array.size()) ?
+                 map._array.back() : INVALID), _map(&map) {}
+
+      /// \brief Invalid constructor \& conversion.
+      ///
+      /// This constructor initializes the iterator to be invalid.
+      /// \sa Invalid for more details.
+      FalseIt(Invalid) : Parent(INVALID), _map(0) {}
+
+      /// \brief Increment operator.
+      ///
+      /// Increment operator.
+      FalseIt& operator++() {
+        int pos = _map->position(*this);
+        Parent::operator=(pos > _map->_sep ? _map->_array[pos - 1] : INVALID);
+        return *this;
+      }
+
+    private:
+      const IterableBoolMap* _map;
+    };
+
+    /// \brief Iterator for the keys mapped to a given value.
+    ///
+    /// Iterator for the keys mapped to a given value. It works
+    /// like a graph item iterator, it can be converted to
+    /// the key type of the map, incremented with \c ++ operator, and
+    /// if the iterator leaves the last valid key, it will be equal to
+    /// \c INVALID.
+    class ItemIt : public Key {
+    public:
+      typedef Key Parent;
+
+      /// \brief Creates an iterator with a value.
+      ///
+      /// Creates an iterator with a value. It iterates on the
+      /// keys mapped to the given value.
+      /// \param map The IterableBoolMap.
+      /// \param value The value.
+      ItemIt(const IterableBoolMap& map, bool value)
+        : Parent(value ? 
+                 (map._sep > 0 ?
+                  map._array[map._sep - 1] : INVALID) :
+                 (map._sep < int(map._array.size()) ?
+                  map._array.back() : INVALID)), _map(&map) {}
+
+      /// \brief Invalid constructor \& conversion.
+      ///
+      /// This constructor initializes the iterator to be invalid.
+      /// \sa Invalid for more details.
+      ItemIt(Invalid) : Parent(INVALID), _map(0) {}
+
+      /// \brief Increment operator.
+      ///
+      /// Increment operator.
+      ItemIt& operator++() {
+        int pos = _map->position(*this);
+        int _sep = pos >= _map->_sep ? _map->_sep : 0;
+        Parent::operator=(pos > _sep ? _map->_array[pos - 1] : INVALID);
+        return *this;
+      }
+
+    private:
+      const IterableBoolMap* _map;
+    };
+
+  protected:
+
+    virtual void add(const Key& key) {
+      Parent::add(key);
+      Parent::set(key, _array.size());
+      _array.push_back(key);
+    }
+
+    virtual void add(const std::vector<Key>& keys) {
+      Parent::add(keys);
+      for (int i = 0; i < int(keys.size()); ++i) {
+        Parent::set(keys[i], _array.size());
+        _array.push_back(keys[i]);
+      }
+    }
+
+    virtual void erase(const Key& key) {
+      int pos = position(key);
+      if (pos < _sep) {
+        --_sep;
+        Parent::set(_array[_sep], pos);
+        _array[pos] = _array[_sep];
+        Parent::set(_array.back(), _sep);
+        _array[_sep] = _array.back();
+        _array.pop_back();
+      } else {
+        Parent::set(_array.back(), pos);
+        _array[pos] = _array.back();
+        _array.pop_back();
+      }
+      Parent::erase(key);
+    }
+
+    virtual void erase(const std::vector<Key>& keys) {
+      for (int i = 0; i < int(keys.size()); ++i) {
+        int pos = position(keys[i]);
+        if (pos < _sep) {
+          --_sep;
+          Parent::set(_array[_sep], pos);
+          _array[pos] = _array[_sep];
+          Parent::set(_array.back(), _sep);
+          _array[_sep] = _array.back();
+          _array.pop_back();
+        } else {
+          Parent::set(_array.back(), pos);
+          _array[pos] = _array.back();
+          _array.pop_back();
+        }
+      }
+      Parent::erase(keys);
+    }
+
+    virtual void build() {
+      Parent::build();
+      typename Parent::Notifier* nf = Parent::notifier();
+      Key it;
+      for (nf->first(it); it != INVALID; nf->next(it)) {
+        Parent::set(it, _array.size());
+        _array.push_back(it);
+      }
+      _sep = 0;
+    }
+
+    virtual void clear() {
+      _array.clear();
+      _sep = 0;
+      Parent::clear();
+    }
+
+  };
+
+
+  namespace _maps_bits {
+    template <typename Item>
+    struct IterableIntMapNode {
+      IterableIntMapNode() : value(-1) {}
+      IterableIntMapNode(int _value) : value(_value) {}
+      Item prev, next;
+      int value;
+    };
+  }
+
+  /// \brief Dynamic iterable integer map.
+  ///
+  /// This class provides a special graph map type which can store an
+  /// integer value for graph items (\c Node, \c Arc or \c Edge).
+  /// For each non-negative value it is possible to iterate on the keys
+  /// mapped to the value.
+  ///
+  /// This map is intended to be used with small integer values, for which
+  /// it is efficient, and supports iteration only for non-negative values.
+  /// If you need large values and/or iteration for negative integers,
+  /// consider to use \ref IterableValueMap instead.
+  ///
+  /// This type is a reference map, so it can be modified with the
+  /// subscript operator.
+  ///
+  /// \note The size of the data structure depends on the largest
+  /// value in the map.
+  ///
+  /// \tparam GR The graph type.
+  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
+  /// \c GR::Edge).
+  ///
+  /// \see IterableBoolMap, IterableValueMap
+  /// \see CrossRefMap
+  template <typename GR, typename K>
+  class IterableIntMap
+    : protected ItemSetTraits<GR, K>::
+        template Map<_maps_bits::IterableIntMapNode<K> >::Type {
+  public:
+    typedef typename ItemSetTraits<GR, K>::
+      template Map<_maps_bits::IterableIntMapNode<K> >::Type Parent;
+
+    /// The key type
+    typedef K Key;
+    /// The value type
+    typedef int Value;
+    /// The graph type
+    typedef GR Graph;
+
+    /// \brief Constructor of the map.
+    ///
+    /// Constructor of the map. It sets all values to -1.
+    explicit IterableIntMap(const Graph& graph)
+      : Parent(graph) {}
+
+    /// \brief Constructor of the map with a given value.
+    ///
+    /// Constructor of the map with a given value.
+    explicit IterableIntMap(const Graph& graph, int value)
+      : Parent(graph, _maps_bits::IterableIntMapNode<K>(value)) {
+      if (value >= 0) {
+        for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
+          lace(it);
+        }
+      }
+    }
+
+  private:
+
+    void unlace(const Key& key) {
+      typename Parent::Value& node = Parent::operator[](key);
+      if (node.value < 0) return;
+      if (node.prev != INVALID) {
+        Parent::operator[](node.prev).next = node.next;
+      } else {
+        _first[node.value] = node.next;
+      }
+      if (node.next != INVALID) {
+        Parent::operator[](node.next).prev = node.prev;
+      }
+      while (!_first.empty() && _first.back() == INVALID) {
+        _first.pop_back();
+      }
+    }
+
+    void lace(const Key& key) {
+      typename Parent::Value& node = Parent::operator[](key);
+      if (node.value < 0) return;
+      if (node.value >= int(_first.size())) {
+        _first.resize(node.value + 1, INVALID);
+      }
+      node.prev = INVALID;
+      node.next = _first[node.value];
+      if (node.next != INVALID) {
+        Parent::operator[](node.next).prev = key;
+      }
+      _first[node.value] = key;
+    }
+
+  public:
+
+    /// Indicates that the map is reference map.
+    typedef True ReferenceMapTag;
+
+    /// \brief Reference to the value of the map.
+    ///
+    /// This class is similar to the \c int type. It can
+    /// be converted to \c int and it has the same operators.
+    class Reference {
+      friend class IterableIntMap;
+    private:
+      Reference(IterableIntMap& map, const Key& key)
+        : _key(key), _map(map) {}
+    public:
+
+      Reference& operator=(const Reference& value) {
+        _map.set(_key, static_cast<const int&>(value));
+         return *this;
+      }
+
+      operator const int&() const {
+        return static_cast<const IterableIntMap&>(_map)[_key];
+      }
+
+      Reference& operator=(int value) {
+        _map.set(_key, value);
+        return *this;
+      }
+      Reference& operator++() {
+        _map.set(_key, _map[_key] + 1);
+        return *this;
+      }
+      int operator++(int) {
+        int value = _map[_key];
+        _map.set(_key, value + 1);
+        return value;
+      }
+      Reference& operator--() {
+        _map.set(_key, _map[_key] - 1);
+        return *this;
+      }
+      int operator--(int) {
+        int value = _map[_key];
+        _map.set(_key, value - 1);
+        return value;
+      }
+      Reference& operator+=(int value) {
+        _map.set(_key, _map[_key] + value);
+        return *this;
+      }
+      Reference& operator-=(int value) {
+        _map.set(_key, _map[_key] - value);
+        return *this;
+      }
+      Reference& operator*=(int value) {
+        _map.set(_key, _map[_key] * value);
+        return *this;
+      }
+      Reference& operator/=(int value) {
+        _map.set(_key, _map[_key] / value);
+        return *this;
+      }
+      Reference& operator%=(int value) {
+        _map.set(_key, _map[_key] % value);
+        return *this;
+      }
+      Reference& operator&=(int value) {
+        _map.set(_key, _map[_key] & value);
+        return *this;
+      }
+      Reference& operator|=(int value) {
+        _map.set(_key, _map[_key] | value);
+        return *this;
+      }
+      Reference& operator^=(int value) {
+        _map.set(_key, _map[_key] ^ value);
+        return *this;
+      }
+      Reference& operator<<=(int value) {
+        _map.set(_key, _map[_key] << value);
+        return *this;
+      }
+      Reference& operator>>=(int value) {
+        _map.set(_key, _map[_key] >> value);
+        return *this;
+      }
+
+    private:
+      Key _key;
+      IterableIntMap& _map;
+    };
+
+    /// The const reference type.
+    typedef const Value& ConstReference;
+
+    /// \brief Gives back the maximal value plus one.
+    ///
+    /// Gives back the maximal value plus one.
+    int size() const {
+      return _first.size();
+    }
+
+    /// \brief Set operation of the map.
+    ///
+    /// Set operation of the map.
+    void set(const Key& key, const Value& value) {
+      unlace(key);
+      Parent::operator[](key).value = value;
+      lace(key);
+    }
+
+    /// \brief Const subscript operator of the map.
+    ///
+    /// Const subscript operator of the map.
+    const Value& operator[](const Key& key) const {
+      return Parent::operator[](key).value;
+    }
+
+    /// \brief Subscript operator of the map.
+    ///
+    /// Subscript operator of the map.
+    Reference operator[](const Key& key) {
+      return Reference(*this, key);
+    }
+
+    /// \brief Iterator for the keys with the same value.
+    ///
+    /// Iterator for the keys with the same value. It works
+    /// like a graph item iterator, it can be converted to
+    /// the item type of the map, incremented with \c ++ operator, and
+    /// if the iterator leaves the last valid item, it will be equal to
+    /// \c INVALID.
+    class ItemIt : public Key {
+    public:
+      typedef Key Parent;
+
+      /// \brief Invalid constructor \& conversion.
+      ///
+      /// This constructor initializes the iterator to be invalid.
+      /// \sa Invalid for more details.
+      ItemIt(Invalid) : Parent(INVALID), _map(0) {}
+
+      /// \brief Creates an iterator with a value.
+      ///
+      /// Creates an iterator with a value. It iterates on the
+      /// keys mapped to the given value.
+      /// \param map The IterableIntMap.
+      /// \param value The value.
+      ItemIt(const IterableIntMap& map, int value) : _map(&map) {
+        if (value < 0 || value >= int(_map->_first.size())) {
+          Parent::operator=(INVALID);
+        } else {
+          Parent::operator=(_map->_first[value]);
+        }
+      }
+
+      /// \brief Increment operator.
+      ///
+      /// Increment operator.
+      ItemIt& operator++() {
+        Parent::operator=(_map->IterableIntMap::Parent::
+                          operator[](static_cast<Parent&>(*this)).next);
+        return *this;
+      }
+
+    private:
+      const IterableIntMap* _map;
+    };
+
+  protected:
+
+    virtual void erase(const Key& key) {
+      unlace(key);
+      Parent::erase(key);
+    }
+
+    virtual void erase(const std::vector<Key>& keys) {
+      for (int i = 0; i < int(keys.size()); ++i) {
+        unlace(keys[i]);
+      }
+      Parent::erase(keys);
+    }
+
+    virtual void clear() {
+      _first.clear();
+      Parent::clear();
+    }
+
+  private:
+    std::vector<Key> _first;
+  };
+
+  namespace _maps_bits {
+    template <typename Item, typename Value>
+    struct IterableValueMapNode {
+      IterableValueMapNode(Value _value = Value()) : value(_value) {}
+      Item prev, next;
+      Value value;
+    };
+  }
+
+  /// \brief Dynamic iterable map for comparable values.
+  ///
+  /// This class provides a special graph map type which can store a
+  /// comparable value for graph items (\c Node, \c Arc or \c Edge).
+  /// For each value it is possible to iterate on the keys mapped to
+  /// the value (\c ItemIt), and the values of the map can be accessed
+  /// with an STL compatible forward iterator (\c ValueIt).
+  /// The map stores a linked list for each value, which contains
+  /// the items mapped to the value, and the used values are stored
+  /// in balanced binary tree (\c std::map).
+  ///
+  /// \ref IterableBoolMap and \ref IterableIntMap are similar classes
+  /// specialized for \c bool and \c int values, respectively.
+  ///
+  /// This type is not reference map, so it cannot be modified with
+  /// the subscript operator.
+  ///
+  /// \tparam GR The graph type.
+  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
+  /// \c GR::Edge).
+  /// \tparam V The value type of the map. It can be any comparable
+  /// value type.
+  ///
+  /// \see IterableBoolMap, IterableIntMap
+  /// \see CrossRefMap
+  template <typename GR, typename K, typename V>
+  class IterableValueMap
+    : protected ItemSetTraits<GR, K>::
+        template Map<_maps_bits::IterableValueMapNode<K, V> >::Type {
+  public:
+    typedef typename ItemSetTraits<GR, K>::
+      template Map<_maps_bits::IterableValueMapNode<K, V> >::Type Parent;
+
+    /// The key type
+    typedef K Key;
+    /// The value type
+    typedef V Value;
+    /// The graph type
+    typedef GR Graph;
+
+  public:
+
+    /// \brief Constructor of the map with a given value.
+    ///
+    /// Constructor of the map with a given value.
+    explicit IterableValueMap(const Graph& graph,
+                              const Value& value = Value())
+      : Parent(graph, _maps_bits::IterableValueMapNode<K, V>(value)) {
+      for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
+        lace(it);
+      }
+    }
+
+  protected:
+
+    void unlace(const Key& key) {
+      typename Parent::Value& node = Parent::operator[](key);
+      if (node.prev != INVALID) {
+        Parent::operator[](node.prev).next = node.next;
+      } else {
+        if (node.next != INVALID) {
+          _first[node.value] = node.next;
+        } else {
+          _first.erase(node.value);
+        }
+      }
+      if (node.next != INVALID) {
+        Parent::operator[](node.next).prev = node.prev;
+      }
+    }
+
+    void lace(const Key& key) {
+      typename Parent::Value& node = Parent::operator[](key);
+      typename std::map<Value, Key>::iterator it = _first.find(node.value);
+      if (it == _first.end()) {
+        node.prev = node.next = INVALID;
+        _first.insert(std::make_pair(node.value, key));
+      } else {
+        node.prev = INVALID;
+        node.next = it->second;
+        if (node.next != INVALID) {
+          Parent::operator[](node.next).prev = key;
+        }
+        it->second = key;
+      }
+    }
+
+  public:
+
+    /// \brief Forward iterator for values.
+    ///
+    /// This iterator is an STL compatible forward
+    /// iterator on the values of the map. The values can
+    /// be accessed in the <tt>[beginValue, endValue)</tt> range.
+    class ValueIt
+      : public std::iterator<std::forward_iterator_tag, Value> {
+      friend class IterableValueMap;
+    private:
+      ValueIt(typename std::map<Value, Key>::const_iterator _it)
+        : it(_it) {}
+    public:
+
+      /// Constructor
+      ValueIt() {}
+
+      /// \e
+      ValueIt& operator++() { ++it; return *this; }
+      /// \e
+      ValueIt operator++(int) {
+        ValueIt tmp(*this);
+        operator++();
+        return tmp;
+      }
+
+      /// \e
+      const Value& operator*() const { return it->first; }
+      /// \e
+      const Value* operator->() const { return &(it->first); }
+
+      /// \e
+      bool operator==(ValueIt jt) const { return it == jt.it; }
+      /// \e
+      bool operator!=(ValueIt jt) const { return it != jt.it; }
+
+    private:
+      typename std::map<Value, Key>::const_iterator it;
+    };
+
+    /// \brief Returns an iterator to the first value.
+    ///
+    /// Returns an STL compatible iterator to the
+    /// first value of the map. The values of the
+    /// map can be accessed in the <tt>[beginValue, endValue)</tt>
+    /// range.
+    ValueIt beginValue() const {
+      return ValueIt(_first.begin());
+    }
+
+    /// \brief Returns an iterator after the last value.
+    ///
+    /// Returns an STL compatible iterator after the
+    /// last value of the map. The values of the
+    /// map can be accessed in the <tt>[beginValue, endValue)</tt>
+    /// range.
+    ValueIt endValue() const {
+      return ValueIt(_first.end());
+    }
+
+    /// \brief Set operation of the map.
+    ///
+    /// Set operation of the map.
+    void set(const Key& key, const Value& value) {
+      unlace(key);
+      Parent::operator[](key).value = value;
+      lace(key);
+    }
+
+    /// \brief Const subscript operator of the map.
+    ///
+    /// Const subscript operator of the map.
+    const Value& operator[](const Key& key) const {
+      return Parent::operator[](key).value;
+    }
+
+    /// \brief Iterator for the keys with the same value.
+    ///
+    /// Iterator for the keys with the same value. It works
+    /// like a graph item iterator, it can be converted to
+    /// the item type of the map, incremented with \c ++ operator, and
+    /// if the iterator leaves the last valid item, it will be equal to
+    /// \c INVALID.
+    class ItemIt : public Key {
+    public:
+      typedef Key Parent;
+
+      /// \brief Invalid constructor \& conversion.
+      ///
+      /// This constructor initializes the iterator to be invalid.
+      /// \sa Invalid for more details.
+      ItemIt(Invalid) : Parent(INVALID), _map(0) {}
+
+      /// \brief Creates an iterator with a value.
+      ///
+      /// Creates an iterator with a value. It iterates on the
+      /// keys which have the given value.
+      /// \param map The IterableValueMap
+      /// \param value The value
+      ItemIt(const IterableValueMap& map, const Value& value) : _map(&map) {
+        typename std::map<Value, Key>::const_iterator it =
+          map._first.find(value);
+        if (it == map._first.end()) {
+          Parent::operator=(INVALID);
+        } else {
+          Parent::operator=(it->second);
+        }
+      }
+
+      /// \brief Increment operator.
+      ///
+      /// Increment Operator.
+      ItemIt& operator++() {
+        Parent::operator=(_map->IterableValueMap::Parent::
+                          operator[](static_cast<Parent&>(*this)).next);
+        return *this;
+      }
+
+
+    private:
+      const IterableValueMap* _map;
+    };
+
+  protected:
+
+    virtual void add(const Key& key) {
+      Parent::add(key);
+      unlace(key);
+    }
+
+    virtual void add(const std::vector<Key>& keys) {
+      Parent::add(keys);
+      for (int i = 0; i < int(keys.size()); ++i) {
+        lace(keys[i]);
+      }
+    }
+
+    virtual void erase(const Key& key) {
+      unlace(key);
+      Parent::erase(key);
+    }
+
+    virtual void erase(const std::vector<Key>& keys) {
+      for (int i = 0; i < int(keys.size()); ++i) {
+        unlace(keys[i]);
+      }
+      Parent::erase(keys);
+    }
+
+    virtual void build() {
+      Parent::build();
+      for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
+        lace(it);
+      }
+    }
+
+    virtual void clear() {
+      _first.clear();
+      Parent::clear();
+    }
+
+  private:
+    std::map<Value, Key> _first;
+  };
+
   /// \brief Map of the source nodes of arcs in a digraph.
   ///
   /// SourceMap provides access for the source node of each arc in a digraph,
@@ -2321,9 +3300,9 @@
   class SourceMap {
   public:
 
-    ///\e
+    /// The key type (the \c Arc type of the digraph).
     typedef typename GR::Arc Key;
-    ///\e
+    /// The value type (the \c Node type of the digraph).
     typedef typename GR::Node Value;
 
     /// \brief Constructor
@@ -2362,9 +3341,9 @@
   class TargetMap {
   public:
 
-    ///\e
+    /// The key type (the \c Arc type of the digraph).
     typedef typename GR::Arc Key;
-    ///\e
+    /// The value type (the \c Node type of the digraph).
     typedef typename GR::Node Value;
 
     /// \brief Constructor
@@ -2404,8 +3383,10 @@
   class ForwardMap {
   public:
 
+    /// The key type (the \c Edge type of the digraph).
+    typedef typename GR::Edge Key;
+    /// The value type (the \c Arc type of the digraph).
     typedef typename GR::Arc Value;
-    typedef typename GR::Edge Key;
 
     /// \brief Constructor
     ///
@@ -2444,8 +3425,10 @@
   class BackwardMap {
   public:
 
+    /// The key type (the \c Edge type of the digraph).
+    typedef typename GR::Edge Key;
+    /// The value type (the \c Arc type of the digraph).
     typedef typename GR::Arc Value;
-    typedef typename GR::Edge Key;
 
     /// \brief Constructor
     ///
@@ -2480,10 +3463,10 @@
   /// in constant time. On the other hand, the values are updated automatically
   /// whenever the digraph changes.
   ///
-  /// \warning Besides \c addNode() and \c addArc(), a digraph structure 
+  /// \warning Besides \c addNode() and \c addArc(), a digraph structure
   /// may provide alternative ways to modify the digraph.
   /// The correct behavior of InDegMap is not guarantied if these additional
-  /// features are used. For example the functions
+  /// features are used. For example, the functions
   /// \ref ListDigraph::changeSource() "changeSource()",
   /// \ref ListDigraph::changeTarget() "changeTarget()" and
   /// \ref ListDigraph::reverseArc() "reverseArc()"
@@ -2496,7 +3479,7 @@
       ::ItemNotifier::ObserverBase {
 
   public:
-    
+
     /// The graph type of InDegMap
     typedef GR Graph;
     typedef GR Digraph;
@@ -2610,10 +3593,10 @@
   /// in constant time. On the other hand, the values are updated automatically
   /// whenever the digraph changes.
   ///
-  /// \warning Besides \c addNode() and \c addArc(), a digraph structure 
+  /// \warning Besides \c addNode() and \c addArc(), a digraph structure
   /// may provide alternative ways to modify the digraph.
   /// The correct behavior of OutDegMap is not guarantied if these additional
-  /// features are used. For example the functions
+  /// features are used. For example, the functions
   /// \ref ListDigraph::changeSource() "changeSource()",
   /// \ref ListDigraph::changeTarget() "changeTarget()" and
   /// \ref ListDigraph::reverseArc() "reverseArc()"
@@ -2781,6 +3764,293 @@
     return PotentialDifferenceMap<GR, POT>(gr, potential);
   }
 
+
+  /// \brief Copy the values of a graph map to another map.
+  ///
+  /// This function copies the values of a graph map to another graph map.
+  /// \c To::Key must be equal or convertible to \c From::Key and
+  /// \c From::Value must be equal or convertible to \c To::Value.
+  ///
+  /// For example, an edge map of \c int value type can be copied to
+  /// an arc map of \c double value type in an undirected graph, but
+  /// an arc map cannot be copied to an edge map.
+  /// Note that even a \ref ConstMap can be copied to a standard graph map,
+  /// but \ref mapFill() can also be used for this purpose.
+  ///
+  /// \param gr The graph for which the maps are defined.
+  /// \param from The map from which the values have to be copied.
+  /// It must conform to the \ref concepts::ReadMap "ReadMap" concept.
+  /// \param to The map to which the values have to be copied.
+  /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+  template <typename GR, typename From, typename To>
+  void mapCopy(const GR& gr, const From& from, To& to) {
+    typedef typename To::Key Item;
+    typedef typename ItemSetTraits<GR, Item>::ItemIt ItemIt;
+    
+    for (ItemIt it(gr); it != INVALID; ++it) {
+      to.set(it, from[it]);
+    }
+  }
+
+  /// \brief Compare two graph maps.
+  ///
+  /// This function compares the values of two graph maps. It returns 
+  /// \c true if the maps assign the same value for all items in the graph.
+  /// The \c Key type of the maps (\c Node, \c Arc or \c Edge) must be equal
+  /// and their \c Value types must be comparable using \c %operator==().
+  ///
+  /// \param gr The graph for which the maps are defined.
+  /// \param map1 The first map.
+  /// \param map2 The second map.
+  template <typename GR, typename Map1, typename Map2>
+  bool mapCompare(const GR& gr, const Map1& map1, const Map2& map2) {
+    typedef typename Map2::Key Item;
+    typedef typename ItemSetTraits<GR, Item>::ItemIt ItemIt;
+    
+    for (ItemIt it(gr); it != INVALID; ++it) {
+      if (!(map1[it] == map2[it])) return false;
+    }
+    return true;
+  }
+
+  /// \brief Return an item having minimum value of a graph map.
+  ///
+  /// This function returns an item (\c Node, \c Arc or \c Edge) having
+  /// minimum value of the given graph map.
+  /// If the item set is empty, it returns \c INVALID.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  template <typename GR, typename Map>
+  typename Map::Key mapMin(const GR& gr, const Map& map) {
+    return mapMin(gr, map, std::less<typename Map::Value>());
+  }
+
+  /// \brief Return an item having minimum value of a graph map.
+  ///
+  /// This function returns an item (\c Node, \c Arc or \c Edge) having
+  /// minimum value of the given graph map.
+  /// If the item set is empty, it returns \c INVALID.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  /// \param comp Comparison function object.
+  template <typename GR, typename Map, typename Comp>
+  typename Map::Key mapMin(const GR& gr, const Map& map, const Comp& comp) {
+    typedef typename Map::Key Item;
+    typedef typename Map::Value Value;
+    typedef typename ItemSetTraits<GR, Item>::ItemIt ItemIt;
+
+    ItemIt min_item(gr);
+    if (min_item == INVALID) return INVALID;
+    Value min = map[min_item];
+    for (ItemIt it(gr); it != INVALID; ++it) {
+      if (comp(map[it], min)) {
+        min = map[it];
+        min_item = it;
+      }
+    }
+    return min_item;
+  }
+
+  /// \brief Return an item having maximum value of a graph map.
+  ///
+  /// This function returns an item (\c Node, \c Arc or \c Edge) having
+  /// maximum value of the given graph map.
+  /// If the item set is empty, it returns \c INVALID.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  template <typename GR, typename Map>
+  typename Map::Key mapMax(const GR& gr, const Map& map) {
+    return mapMax(gr, map, std::less<typename Map::Value>());
+  }
+
+  /// \brief Return an item having maximum value of a graph map.
+  ///
+  /// This function returns an item (\c Node, \c Arc or \c Edge) having
+  /// maximum value of the given graph map.
+  /// If the item set is empty, it returns \c INVALID.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  /// \param comp Comparison function object.
+  template <typename GR, typename Map, typename Comp>
+  typename Map::Key mapMax(const GR& gr, const Map& map, const Comp& comp) {
+    typedef typename Map::Key Item;
+    typedef typename Map::Value Value;
+    typedef typename ItemSetTraits<GR, Item>::ItemIt ItemIt;
+
+    ItemIt max_item(gr);
+    if (max_item == INVALID) return INVALID;
+    Value max = map[max_item];
+    for (ItemIt it(gr); it != INVALID; ++it) {
+      if (comp(max, map[it])) {
+        max = map[it];
+        max_item = it;
+      }
+    }
+    return max_item;
+  }
+
+  /// \brief Return the minimum value of a graph map.
+  ///
+  /// This function returns the minimum value of the given graph map.
+  /// The corresponding item set of the graph must not be empty.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  template <typename GR, typename Map>
+  typename Map::Value mapMinValue(const GR& gr, const Map& map) {
+    return map[mapMin(gr, map, std::less<typename Map::Value>())];
+  }
+
+  /// \brief Return the minimum value of a graph map.
+  ///
+  /// This function returns the minimum value of the given graph map.
+  /// The corresponding item set of the graph must not be empty.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  /// \param comp Comparison function object.
+  template <typename GR, typename Map, typename Comp>
+  typename Map::Value
+  mapMinValue(const GR& gr, const Map& map, const Comp& comp) {
+    return map[mapMin(gr, map, comp)];
+  }
+
+  /// \brief Return the maximum value of a graph map.
+  ///
+  /// This function returns the maximum value of the given graph map.
+  /// The corresponding item set of the graph must not be empty.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  template <typename GR, typename Map>
+  typename Map::Value mapMaxValue(const GR& gr, const Map& map) {
+    return map[mapMax(gr, map, std::less<typename Map::Value>())];
+  }
+
+  /// \brief Return the maximum value of a graph map.
+  ///
+  /// This function returns the maximum value of the given graph map.
+  /// The corresponding item set of the graph must not be empty.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  /// \param comp Comparison function object.
+  template <typename GR, typename Map, typename Comp>
+  typename Map::Value
+  mapMaxValue(const GR& gr, const Map& map, const Comp& comp) {
+    return map[mapMax(gr, map, comp)];
+  }
+
+  /// \brief Return an item having a specified value in a graph map.
+  ///
+  /// This function returns an item (\c Node, \c Arc or \c Edge) having
+  /// the specified assigned value in the given graph map.
+  /// If no such item exists, it returns \c INVALID.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  /// \param val The value that have to be found.
+  template <typename GR, typename Map>
+  typename Map::Key
+  mapFind(const GR& gr, const Map& map, const typename Map::Value& val) {
+    typedef typename Map::Key Item;
+    typedef typename ItemSetTraits<GR, Item>::ItemIt ItemIt;
+
+    for (ItemIt it(gr); it != INVALID; ++it) {
+      if (map[it] == val) return it;
+    }
+    return INVALID;
+  }
+
+  /// \brief Return an item having value for which a certain predicate is
+  /// true in a graph map.
+  ///
+  /// This function returns an item (\c Node, \c Arc or \c Edge) having
+  /// such assigned value for which the specified predicate is true
+  /// in the given graph map.
+  /// If no such item exists, it returns \c INVALID.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  /// \param pred The predicate function object.
+  template <typename GR, typename Map, typename Pred>
+  typename Map::Key
+  mapFindIf(const GR& gr, const Map& map, const Pred& pred) {
+    typedef typename Map::Key Item;
+    typedef typename ItemSetTraits<GR, Item>::ItemIt ItemIt;
+
+    for (ItemIt it(gr); it != INVALID; ++it) {
+      if (pred(map[it])) return it;
+    }
+    return INVALID;
+  }
+
+  /// \brief Return the number of items having a specified value in a
+  /// graph map.
+  ///
+  /// This function returns the number of items (\c Node, \c Arc or \c Edge)
+  /// having the specified assigned value in the given graph map.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  /// \param val The value that have to be counted.
+  template <typename GR, typename Map>
+  int mapCount(const GR& gr, const Map& map, const typename Map::Value& val) {
+    typedef typename Map::Key Item;
+    typedef typename ItemSetTraits<GR, Item>::ItemIt ItemIt;
+
+    int cnt = 0;
+    for (ItemIt it(gr); it != INVALID; ++it) {
+      if (map[it] == val) ++cnt;
+    }
+    return cnt;
+  }
+
+  /// \brief Return the number of items having values for which a certain
+  /// predicate is true in a graph map.
+  ///
+  /// This function returns the number of items (\c Node, \c Arc or \c Edge)
+  /// having such assigned values for which the specified predicate is true
+  /// in the given graph map.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map.
+  /// \param pred The predicate function object.
+  template <typename GR, typename Map, typename Pred>
+  int mapCountIf(const GR& gr, const Map& map, const Pred& pred) {
+    typedef typename Map::Key Item;
+    typedef typename ItemSetTraits<GR, Item>::ItemIt ItemIt;
+
+    int cnt = 0;
+    for (ItemIt it(gr); it != INVALID; ++it) {
+      if (pred(map[it])) ++cnt;
+    }
+    return cnt;
+  }
+
+  /// \brief Fill a graph map with a certain value.
+  ///
+  /// This function sets the specified value for all items (\c Node,
+  /// \c Arc or \c Edge) in the given graph map.
+  ///
+  /// \param gr The graph for which the map is defined.
+  /// \param map The graph map. It must conform to the
+  /// \ref concepts::WriteMap "WriteMap" concept.
+  /// \param val The value.
+  template <typename GR, typename Map>
+  void mapFill(const GR& gr, Map& map, const typename Map::Value& val) {
+    typedef typename Map::Key Item;
+    typedef typename ItemSetTraits<GR, Item>::ItemIt ItemIt;
+
+    for (ItemIt it(gr); it != INVALID; ++it) {
+      map.set(it, val);
+    }
+  }
+
   /// @}
 }
 
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/min_cost_arborescence.h
--- a/lemon/min_cost_arborescence.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/min_cost_arborescence.h	Thu Dec 10 17:18:25 2009 +0100
@@ -488,8 +488,8 @@
     /// \name Execution Control
     /// The simplest way to execute the algorithm is to use
     /// one of the member functions called \c run(...). \n
-    /// If you need more control on the execution,
-    /// first you must call \ref init(), then you can add several
+    /// If you need better control on the execution,
+    /// you have to call \ref init() first, then you can add several
     /// source nodes with \ref addSource().
     /// Finally \ref start() will perform the arborescence
     /// computation.
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/network_simplex.h
--- a/lemon/network_simplex.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/network_simplex.h	Thu Dec 10 17:18:25 2009 +0100
@@ -40,7 +40,9 @@
   /// for finding a \ref min_cost_flow "minimum cost flow".
   ///
   /// \ref NetworkSimplex implements the primal Network Simplex algorithm
-  /// for finding a \ref min_cost_flow "minimum cost flow".
+  /// for finding a \ref min_cost_flow "minimum cost flow"
+  /// \ref amo93networkflows, \ref dantzig63linearprog,
+  /// \ref kellyoneill91netsimplex.
   /// This algorithm is a specialized version of the linear programming
   /// simplex method directly for the minimum cost flow problem.
   /// It is one of the most efficient solution methods.
@@ -48,7 +50,7 @@
   /// In general this class is the fastest implementation available
   /// in LEMON for the minimum cost flow problem.
   /// Moreover it supports both directions of the supply/demand inequality
-  /// constraints. For more information see \ref SupplyType.
+  /// constraints. For more information, see \ref SupplyType.
   ///
   /// Most of the parameters of the problem (except for the digraph)
   /// can be given using separate functions, and the algorithm can be
@@ -57,16 +59,16 @@
   ///
   /// \tparam GR The digraph type the algorithm runs on.
   /// \tparam V The value type used for flow amounts, capacity bounds
-  /// and supply values in the algorithm. By default it is \c int.
+  /// and supply values in the algorithm. By default, it is \c int.
   /// \tparam C The value type used for costs and potentials in the
-  /// algorithm. By default it is the same as \c V.
+  /// algorithm. By default, it is the same as \c V.
   ///
   /// \warning Both value types must be signed and all input data must
   /// be integer.
   ///
   /// \note %NetworkSimplex provides five different pivot rule
   /// implementations, from which the most efficient one is used
-  /// by default. For more information see \ref PivotRule.
+  /// by default. For more information, see \ref PivotRule.
   template <typename GR, typename V = int, typename C = V>
   class NetworkSimplex
   {
@@ -122,35 +124,35 @@
     /// \ref NetworkSimplex provides five different pivot rule
     /// implementations that significantly affect the running time
     /// of the algorithm.
-    /// By default \ref BLOCK_SEARCH "Block Search" is used, which
+    /// By default, \ref BLOCK_SEARCH "Block Search" is used, which
     /// proved to be the most efficient and the most robust on various
     /// test inputs according to our benchmark tests.
-    /// However another pivot rule can be selected using the \ref run()
+    /// However, another pivot rule can be selected using the \ref run()
     /// function with the proper parameter.
     enum PivotRule {
 
-      /// The First Eligible pivot rule.
+      /// The \e First \e Eligible pivot rule.
       /// The next eligible arc is selected in a wraparound fashion
       /// in every iteration.
       FIRST_ELIGIBLE,
 
-      /// The Best Eligible pivot rule.
+      /// The \e Best \e Eligible pivot rule.
       /// The best eligible arc is selected in every iteration.
       BEST_ELIGIBLE,
 
-      /// The Block Search pivot rule.
+      /// The \e Block \e Search pivot rule.
       /// A specified number of arcs are examined in every iteration
       /// in a wraparound fashion and the best eligible arc is selected
       /// from this block.
       BLOCK_SEARCH,
 
-      /// The Candidate List pivot rule.
+      /// The \e Candidate \e List pivot rule.
       /// In a major iteration a candidate list is built from eligible arcs
       /// in a wraparound fashion and in the following minor iterations
       /// the best eligible arc is selected from this list.
       CANDIDATE_LIST,
 
-      /// The Altering Candidate List pivot rule.
+      /// The \e Altering \e Candidate \e List pivot rule.
       /// It is a modified version of the Candidate List method.
       /// It keeps only the several best eligible arcs from the former
       /// candidate list and extends this list in every iteration.
@@ -161,8 +163,6 @@
 
     TEMPLATE_DIGRAPH_TYPEDEFS(GR);
 
-    typedef std::vector<Arc> ArcVector;
-    typedef std::vector<Node> NodeVector;
     typedef std::vector<int> IntVector;
     typedef std::vector<bool> BoolVector;
     typedef std::vector<Value> ValueVector;
@@ -364,33 +364,32 @@
       bool findEnteringArc() {
         Cost c, min = 0;
         int cnt = _block_size;
-        int e, min_arc = _next_arc;
+        int e;
         for (e = _next_arc; e < _search_arc_num; ++e) {
           c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);
           if (c < min) {
             min = c;
-            min_arc = e;
+            _in_arc = e;
           }
           if (--cnt == 0) {
-            if (min < 0) break;
+            if (min < 0) goto search_end;
             cnt = _block_size;
           }
         }
-        if (min == 0 || cnt > 0) {
-          for (e = 0; e < _next_arc; ++e) {
-            c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);
-            if (c < min) {
-              min = c;
-              min_arc = e;
-            }
-            if (--cnt == 0) {
-              if (min < 0) break;
-              cnt = _block_size;
-            }
+        for (e = 0; e < _next_arc; ++e) {
+          c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);
+          if (c < min) {
+            min = c;
+            _in_arc = e;
+          }
+          if (--cnt == 0) {
+            if (min < 0) goto search_end;
+            cnt = _block_size;
           }
         }
         if (min >= 0) return false;
-        _in_arc = min_arc;
+
+      search_end:
         _next_arc = e;
         return true;
       }
@@ -428,7 +427,7 @@
         _next_arc(0)
       {
         // The main parameters of the pivot rule
-        const double LIST_LENGTH_FACTOR = 1.0;
+        const double LIST_LENGTH_FACTOR = 0.25;
         const int MIN_LIST_LENGTH = 10;
         const double MINOR_LIMIT_FACTOR = 0.1;
         const int MIN_MINOR_LIMIT = 3;
@@ -445,7 +444,7 @@
       /// Find next entering arc
       bool findEnteringArc() {
         Cost min, c;
-        int e, min_arc = _next_arc;
+        int e;
         if (_curr_length > 0 && _minor_count < _minor_limit) {
           // Minor iteration: select the best eligible arc from the
           // current candidate list
@@ -456,16 +455,13 @@
             c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);
             if (c < min) {
               min = c;
-              min_arc = e;
+              _in_arc = e;
             }
-            if (c >= 0) {
+            else if (c >= 0) {
               _candidates[i--] = _candidates[--_curr_length];
             }
           }
-          if (min < 0) {
-            _in_arc = min_arc;
-            return true;
-          }
+          if (min < 0) return true;
         }
 
         // Major iteration: build a new candidate list
@@ -477,27 +473,26 @@
             _candidates[_curr_length++] = e;
             if (c < min) {
               min = c;
-              min_arc = e;
+              _in_arc = e;
             }
-            if (_curr_length == _list_length) break;
+            if (_curr_length == _list_length) goto search_end;
           }
         }
-        if (_curr_length < _list_length) {
-          for (e = 0; e < _next_arc; ++e) {
-            c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);
-            if (c < 0) {
-              _candidates[_curr_length++] = e;
-              if (c < min) {
-                min = c;
-                min_arc = e;
-              }
-              if (_curr_length == _list_length) break;
+        for (e = 0; e < _next_arc; ++e) {
+          c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);
+          if (c < 0) {
+            _candidates[_curr_length++] = e;
+            if (c < min) {
+              min = c;
+              _in_arc = e;
             }
+            if (_curr_length == _list_length) goto search_end;
           }
         }
         if (_curr_length == 0) return false;
+      
+      search_end:        
         _minor_count = 1;
-        _in_arc = min_arc;
         _next_arc = e;
         return true;
       }
@@ -549,7 +544,7 @@
         _next_arc(0), _cand_cost(ns._search_arc_num), _sort_func(_cand_cost)
       {
         // The main parameters of the pivot rule
-        const double BLOCK_SIZE_FACTOR = 1.5;
+        const double BLOCK_SIZE_FACTOR = 1.0;
         const int MIN_BLOCK_SIZE = 10;
         const double HEAD_LENGTH_FACTOR = 0.1;
         const int MIN_HEAD_LENGTH = 3;
@@ -578,39 +573,35 @@
 
         // Extend the list
         int cnt = _block_size;
-        int last_arc = 0;
         int limit = _head_length;
 
-        for (int e = _next_arc; e < _search_arc_num; ++e) {
+        for (e = _next_arc; e < _search_arc_num; ++e) {
           _cand_cost[e] = _state[e] *
             (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);
           if (_cand_cost[e] < 0) {
             _candidates[_curr_length++] = e;
-            last_arc = e;
           }
           if (--cnt == 0) {
-            if (_curr_length > limit) break;
+            if (_curr_length > limit) goto search_end;
             limit = 0;
             cnt = _block_size;
           }
         }
-        if (_curr_length <= limit) {
-          for (int e = 0; e < _next_arc; ++e) {
-            _cand_cost[e] = _state[e] *
-              (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);
-            if (_cand_cost[e] < 0) {
-              _candidates[_curr_length++] = e;
-              last_arc = e;
-            }
-            if (--cnt == 0) {
-              if (_curr_length > limit) break;
-              limit = 0;
-              cnt = _block_size;
-            }
+        for (e = 0; e < _next_arc; ++e) {
+          _cand_cost[e] = _state[e] *
+            (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);
+          if (_cand_cost[e] < 0) {
+            _candidates[_curr_length++] = e;
+          }
+          if (--cnt == 0) {
+            if (_curr_length > limit) goto search_end;
+            limit = 0;
+            cnt = _block_size;
           }
         }
         if (_curr_length == 0) return false;
-        _next_arc = last_arc + 1;
+        
+      search_end:
 
         // Make heap of the candidate list (approximating a partial sort)
         make_heap( _candidates.begin(), _candidates.begin() + _curr_length,
@@ -618,6 +609,7 @@
 
         // Pop the first element of the heap
         _in_arc = _candidates[0];
+        _next_arc = e;
         pop_heap( _candidates.begin(), _candidates.begin() + _curr_length,
                   _sort_func );
         _curr_length = std::min(_head_length, _curr_length - 1);
@@ -633,7 +625,11 @@
     /// The constructor of the class.
     ///
     /// \param graph The digraph the algorithm runs on.
-    NetworkSimplex(const GR& graph) :
+    /// \param arc_mixing Indicate if the arcs have to be stored in a
+    /// mixed order in the internal data structure. 
+    /// In special cases, it could lead to better overall performance,
+    /// but it is usually slower. Therefore it is disabled by default.
+    NetworkSimplex(const GR& graph, bool arc_mixing = false) :
       _graph(graph), _node_id(graph), _arc_id(graph),
       INF(std::numeric_limits<Value>::has_infinity ?
           std::numeric_limits<Value>::infinity() :
@@ -671,31 +667,33 @@
       _last_succ.resize(all_node_num);
       _state.resize(max_arc_num);
 
-      // Copy the graph (store the arcs in a mixed order)
+      // Copy the graph
       int i = 0;
       for (NodeIt n(_graph); n != INVALID; ++n, ++i) {
         _node_id[n] = i;
       }
-      int k = std::max(int(std::sqrt(double(_arc_num))), 10);
-      i = 0;
-      for (ArcIt a(_graph); a != INVALID; ++a) {
-        _arc_id[a] = i;
-        _source[i] = _node_id[_graph.source(a)];
-        _target[i] = _node_id[_graph.target(a)];
-        if ((i += k) >= _arc_num) i = (i % k) + 1;
+      if (arc_mixing) {
+        // Store the arcs in a mixed order
+        int k = std::max(int(std::sqrt(double(_arc_num))), 10);
+        int i = 0, j = 0;
+        for (ArcIt a(_graph); a != INVALID; ++a) {
+          _arc_id[a] = i;
+          _source[i] = _node_id[_graph.source(a)];
+          _target[i] = _node_id[_graph.target(a)];
+          if ((i += k) >= _arc_num) i = ++j;
+        }
+      } else {
+        // Store the arcs in the original order
+        int i = 0;
+        for (ArcIt a(_graph); a != INVALID; ++a, ++i) {
+          _arc_id[a] = i;
+          _source[i] = _node_id[_graph.source(a)];
+          _target[i] = _node_id[_graph.target(a)];
+        }
       }
       
-      // Initialize maps
-      for (int i = 0; i != _node_num; ++i) {
-        _supply[i] = 0;
-      }
-      for (int i = 0; i != _arc_num; ++i) {
-        _lower[i] = 0;
-        _upper[i] = INF;
-        _cost[i] = 1;
-      }
-      _have_lower = false;
-      _stype = GEQ;
+      // Reset parameters
+      reset();
     }
 
     /// \name Parameters
@@ -768,7 +766,6 @@
     /// This function sets the supply values of the nodes.
     /// If neither this function nor \ref stSupply() is used before
     /// calling \ref run(), the supply of each node will be set to zero.
-    /// (It makes sense only if non-zero lower bounds are given.)
     ///
     /// \param map A node map storing the supply values.
     /// Its \c Value type must be convertible to the \c Value type
@@ -789,7 +786,6 @@
     /// and the required flow value.
     /// If neither this function nor \ref supplyMap() is used before
     /// calling \ref run(), the supply of each node will be set to zero.
-    /// (It makes sense only if non-zero lower bounds are given.)
     ///
     /// Using this function has the same effect as using \ref supplyMap()
     /// with such a map in which \c k is assigned to \c s, \c -k is
@@ -816,7 +812,7 @@
     /// If it is not used before calling \ref run(), the \ref GEQ supply
     /// type will be used.
     ///
-    /// For more information see \ref SupplyType.
+    /// For more information, see \ref SupplyType.
     ///
     /// \return <tt>(*this)</tt>
     NetworkSimplex& supplyType(SupplyType supply_type) {
@@ -848,11 +844,11 @@
     /// that have been given are kept for the next call, unless
     /// \ref reset() is called, thus only the modified parameters
     /// have to be set again. See \ref reset() for examples.
-    /// However the underlying digraph must not be modified after this
+    /// However, the underlying digraph must not be modified after this
     /// class have been constructed, since it copies and extends the graph.
     ///
     /// \param pivot_rule The pivot rule that will be used during the
-    /// algorithm. For more information see \ref PivotRule.
+    /// algorithm. For more information, see \ref PivotRule.
     ///
     /// \return \c INFEASIBLE if no feasible flow exists,
     /// \n \c OPTIMAL if the problem has optimal solution
@@ -877,7 +873,7 @@
     /// It is useful for multiple run() calls. If this function is not
     /// used, all the parameters given before are kept for the next
     /// \ref run() call.
-    /// However the underlying digraph must not be modified after this
+    /// However, the underlying digraph must not be modified after this
     /// class have been constructed, since it copies and extends the graph.
     ///
     /// For example,
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/pairing_heap.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/pairing_heap.h	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,474 @@
+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2009
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_PAIRING_HEAP_H
+#define LEMON_PAIRING_HEAP_H
+
+///\file
+///\ingroup heaps
+///\brief Pairing heap implementation.
+
+#include <vector>
+#include <utility>
+#include <functional>
+#include <lemon/math.h>
+
+namespace lemon {
+
+  /// \ingroup heaps
+  ///
+  ///\brief Pairing Heap.
+  ///
+  /// This class implements the \e pairing \e heap data structure.
+  /// It fully conforms to the \ref concepts::Heap "heap concept".
+  ///
+  /// The methods \ref increase() and \ref erase() are not efficient
+  /// in a pairing heap. In case of many calls of these operations,
+  /// it is better to use other heap structure, e.g. \ref BinHeap
+  /// "binary heap".
+  ///
+  /// \tparam PR Type of the priorities of the items.
+  /// \tparam IM A read-writable item map with \c int values, used
+  /// internally to handle the cross references.
+  /// \tparam CMP A functor class for comparing the priorities.
+  /// The default is \c std::less<PR>.
+#ifdef DOXYGEN
+  template <typename PR, typename IM, typename CMP>
+#else
+  template <typename PR, typename IM, typename CMP = std::less<PR> >
+#endif
+  class PairingHeap {
+  public:
+    /// Type of the item-int map.
+    typedef IM ItemIntMap;
+    /// Type of the priorities.
+    typedef PR Prio;
+    /// Type of the items stored in the heap.
+    typedef typename ItemIntMap::Key Item;
+    /// Functor type for comparing the priorities.
+    typedef CMP Compare;
+
+    /// \brief Type to represent the states of the items.
+    ///
+    /// Each item has a state associated to it. It can be "in heap",
+    /// "pre-heap" or "post-heap". The latter two are indifferent from the
+    /// heap's point of view, but may be useful to the user.
+    ///
+    /// The item-int map must be initialized in such way that it assigns
+    /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
+    enum State {
+      IN_HEAP = 0,    ///< = 0.
+      PRE_HEAP = -1,  ///< = -1.
+      POST_HEAP = -2  ///< = -2.
+    };
+
+  private:
+    class store;
+
+    std::vector<store> _data;
+    int _min;
+    ItemIntMap &_iim;
+    Compare _comp;
+    int _num_items;
+
+  public:
+    /// \brief Constructor.
+    ///
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    explicit PairingHeap(ItemIntMap &map)
+      : _min(0), _iim(map), _num_items(0) {}
+
+    /// \brief Constructor.
+    ///
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    /// \param comp The function object used for comparing the priorities.
+    PairingHeap(ItemIntMap &map, const Compare &comp)
+      : _min(0), _iim(map), _comp(comp), _num_items(0) {}
+
+    /// \brief The number of items stored in the heap.
+    ///
+    /// This function returns the number of items stored in the heap.
+    int size() const { return _num_items; }
+
+    /// \brief Check if the heap is empty.
+    ///
+    /// This function returns \c true if the heap is empty.
+    bool empty() const { return _num_items==0; }
+
+    /// \brief Make the heap empty.
+    ///
+    /// This functon makes the heap empty.
+    /// It does not change the cross reference map. If you want to reuse
+    /// a heap that is not surely empty, you should first clear it and
+    /// then you should set the cross reference map to \c PRE_HEAP
+    /// for each item.
+    void clear() {
+      _data.clear();
+      _min = 0;
+      _num_items = 0;
+    }
+
+    /// \brief Set the priority of an item or insert it, if it is
+    /// not stored in the heap.
+    ///
+    /// This method sets the priority of the given item if it is
+    /// already stored in the heap. Otherwise it inserts the given
+    /// item into the heap with the given priority.
+    /// \param item The item.
+    /// \param value The priority.
+    void set (const Item& item, const Prio& value) {
+      int i=_iim[item];
+      if ( i>=0 && _data[i].in ) {
+        if ( _comp(value, _data[i].prio) ) decrease(item, value);
+        if ( _comp(_data[i].prio, value) ) increase(item, value);
+      } else push(item, value);
+    }
+
+    /// \brief Insert an item into the heap with the given priority.
+    ///
+    /// This function inserts the given item into the heap with the
+    /// given priority.
+    /// \param item The item to insert.
+    /// \param value The priority of the item.
+    /// \pre \e item must not be stored in the heap.
+    void push (const Item& item, const Prio& value) {
+      int i=_iim[item];
+      if( i<0 ) {
+        int s=_data.size();
+        _iim.set(item, s);
+        store st;
+        st.name=item;
+        _data.push_back(st);
+        i=s;
+      } else {
+        _data[i].parent=_data[i].child=-1;
+        _data[i].left_child=false;
+        _data[i].degree=0;
+        _data[i].in=true;
+      }
+
+      _data[i].prio=value;
+
+      if ( _num_items!=0 ) {
+        if ( _comp( value, _data[_min].prio) ) {
+          fuse(i,_min);
+          _min=i;
+        }
+        else fuse(_min,i);
+      }
+      else _min=i;
+
+      ++_num_items;
+    }
+
+    /// \brief Return the item having minimum priority.
+    ///
+    /// This function returns the item having minimum priority.
+    /// \pre The heap must be non-empty.
+    Item top() const { return _data[_min].name; }
+
+    /// \brief The minimum priority.
+    ///
+    /// This function returns the minimum priority.
+    /// \pre The heap must be non-empty.
+    const Prio& prio() const { return _data[_min].prio; }
+
+    /// \brief The priority of the given item.
+    ///
+    /// This function returns the priority of the given item.
+    /// \param item The item.
+    /// \pre \e item must be in the heap.
+    const Prio& operator[](const Item& item) const {
+      return _data[_iim[item]].prio;
+    }
+
+    /// \brief Remove the item having minimum priority.
+    ///
+    /// This function removes the item having minimum priority.
+    /// \pre The heap must be non-empty.
+    void pop() {
+      std::vector<int> trees;
+      int i=0, child_right = 0;
+      _data[_min].in=false;
+
+      if( -1!=_data[_min].child ) {
+        i=_data[_min].child;
+        trees.push_back(i);
+        _data[i].parent = -1;
+        _data[_min].child = -1;
+
+        int ch=-1;
+        while( _data[i].child!=-1 ) {
+          ch=_data[i].child;
+          if( _data[ch].left_child && i==_data[ch].parent ) {
+            break;
+          } else {
+            if( _data[ch].left_child ) {
+              child_right=_data[ch].parent;
+              _data[ch].parent = i;
+              --_data[i].degree;
+            }
+            else {
+              child_right=ch;
+              _data[i].child=-1;
+              _data[i].degree=0;
+            }
+            _data[child_right].parent = -1;
+            trees.push_back(child_right);
+            i = child_right;
+          }
+        }
+
+        int num_child = trees.size();
+        int other;
+        for( i=0; i<num_child-1; i+=2 ) {
+          if ( !_comp(_data[trees[i]].prio, _data[trees[i+1]].prio) ) {
+            other=trees[i];
+            trees[i]=trees[i+1];
+            trees[i+1]=other;
+          }
+          fuse( trees[i], trees[i+1] );
+        }
+
+        i = (0==(num_child % 2)) ? num_child-2 : num_child-1;
+        while(i>=2) {
+          if ( _comp(_data[trees[i]].prio, _data[trees[i-2]].prio) ) {
+            other=trees[i];
+            trees[i]=trees[i-2];
+            trees[i-2]=other;
+          }
+          fuse( trees[i-2], trees[i] );
+          i-=2;
+        }
+        _min = trees[0];
+      }
+      else {
+        _min = _data[_min].child;
+      }
+
+      if (_min >= 0) _data[_min].left_child = false;
+      --_num_items;
+    }
+
+    /// \brief Remove the given item from the heap.
+    ///
+    /// This function removes the given item from the heap if it is
+    /// already stored.
+    /// \param item The item to delete.
+    /// \pre \e item must be in the heap.
+    void erase (const Item& item) {
+      int i=_iim[item];
+      if ( i>=0 && _data[i].in ) {
+        decrease( item, _data[_min].prio-1 );
+        pop();
+      }
+    }
+
+    /// \brief Decrease the priority of an item to the given value.
+    ///
+    /// This function decreases the priority of an item to the given value.
+    /// \param item The item.
+    /// \param value The priority.
+    /// \pre \e item must be stored in the heap with priority at least \e value.
+    void decrease (Item item, const Prio& value) {
+      int i=_iim[item];
+      _data[i].prio=value;
+      int p=_data[i].parent;
+
+      if( _data[i].left_child && i!=_data[p].child ) {
+        p=_data[p].parent;
+      }
+
+      if ( p!=-1 && _comp(value,_data[p].prio) ) {
+        cut(i,p);
+        if ( _comp(_data[_min].prio,value) ) {
+          fuse(_min,i);
+        } else {
+          fuse(i,_min);
+          _min=i;
+        }
+      }
+    }
+
+    /// \brief Increase the priority of an item to the given value.
+    ///
+    /// This function increases the priority of an item to the given value.
+    /// \param item The item.
+    /// \param value The priority.
+    /// \pre \e item must be stored in the heap with priority at most \e value.
+    void increase (Item item, const Prio& value) {
+      erase(item);
+      push(item,value);
+    }
+
+    /// \brief Return the state of an item.
+    ///
+    /// This method returns \c PRE_HEAP if the given item has never
+    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
+    /// and \c POST_HEAP otherwise.
+    /// In the latter case it is possible that the item will get back
+    /// to the heap again.
+    /// \param item The item.
+    State state(const Item &item) const {
+      int i=_iim[item];
+      if( i>=0 ) {
+        if( _data[i].in ) i=0;
+        else i=-2;
+      }
+      return State(i);
+    }
+
+    /// \brief Set the state of an item in the heap.
+    ///
+    /// This function sets the state of the given item in the heap.
+    /// It can be used to manually clear the heap when it is important
+    /// to achive better time complexity.
+    /// \param i The item.
+    /// \param st The state. It should not be \c IN_HEAP.
+    void state(const Item& i, State st) {
+      switch (st) {
+      case POST_HEAP:
+      case PRE_HEAP:
+        if (state(i) == IN_HEAP) erase(i);
+        _iim[i]=st;
+        break;
+      case IN_HEAP:
+        break;
+      }
+    }
+
+  private:
+
+    void cut(int a, int b) {
+      int child_a;
+      switch (_data[a].degree) {
+        case 2:
+          child_a = _data[_data[a].child].parent;
+          if( _data[a].left_child ) {
+            _data[child_a].left_child=true;
+            _data[b].child=child_a;
+            _data[child_a].parent=_data[a].parent;
+          }
+          else {
+            _data[child_a].left_child=false;
+            _data[child_a].parent=b;
+            if( a!=_data[b].child )
+              _data[_data[b].child].parent=child_a;
+            else
+              _data[b].child=child_a;
+          }
+          --_data[a].degree;
+          _data[_data[a].child].parent=a;
+          break;
+
+        case 1:
+          child_a = _data[a].child;
+          if( !_data[child_a].left_child ) {
+            --_data[a].degree;
+            if( _data[a].left_child ) {
+              _data[child_a].left_child=true;
+              _data[child_a].parent=_data[a].parent;
+              _data[b].child=child_a;
+            }
+            else {
+              _data[child_a].left_child=false;
+              _data[child_a].parent=b;
+              if( a!=_data[b].child )
+                _data[_data[b].child].parent=child_a;
+              else
+                _data[b].child=child_a;
+            }
+            _data[a].child=-1;
+          }
+          else {
+            --_data[b].degree;
+            if( _data[a].left_child ) {
+              _data[b].child =
+                (1==_data[b].degree) ? _data[a].parent : -1;
+            } else {
+              if (1==_data[b].degree)
+                _data[_data[b].child].parent=b;
+              else
+                _data[b].child=-1;
+            }
+          }
+          break;
+
+        case 0:
+          --_data[b].degree;
+          if( _data[a].left_child ) {
+            _data[b].child =
+              (0!=_data[b].degree) ? _data[a].parent : -1;
+          } else {
+            if( 0!=_data[b].degree )
+              _data[_data[b].child].parent=b;
+            else
+              _data[b].child=-1;
+          }
+          break;
+      }
+      _data[a].parent=-1;
+      _data[a].left_child=false;
+    }
+
+    void fuse(int a, int b) {
+      int child_a = _data[a].child;
+      int child_b = _data[b].child;
+      _data[a].child=b;
+      _data[b].parent=a;
+      _data[b].left_child=true;
+
+      if( -1!=child_a ) {
+        _data[b].child=child_a;
+        _data[child_a].parent=b;
+        _data[child_a].left_child=false;
+        ++_data[b].degree;
+
+        if( -1!=child_b ) {
+           _data[b].child=child_b;
+           _data[child_b].parent=child_a;
+        }
+      }
+      else { ++_data[a].degree; }
+    }
+
+    class store {
+      friend class PairingHeap;
+
+      Item name;
+      int parent;
+      int child;
+      bool left_child;
+      int degree;
+      bool in;
+      Prio prio;
+
+      store() : parent(-1), child(-1), left_child(false), degree(0), in(true) {}
+    };
+  };
+
+} //namespace lemon
+
+#endif //LEMON_PAIRING_HEAP_H
+
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/planarity.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/planarity.h	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,2737 @@
+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2009
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_PLANARITY_H
+#define LEMON_PLANARITY_H
+
+/// \ingroup planar
+/// \file
+/// \brief Planarity checking, embedding, drawing and coloring
+
+#include <vector>
+#include <list>
+
+#include <lemon/dfs.h>
+#include <lemon/bfs.h>
+#include <lemon/radix_sort.h>
+#include <lemon/maps.h>
+#include <lemon/path.h>
+#include <lemon/bucket_heap.h>
+#include <lemon/adaptors.h>
+#include <lemon/edge_set.h>
+#include <lemon/color.h>
+#include <lemon/dim2.h>
+
+namespace lemon {
+
+  namespace _planarity_bits {
+
+    template <typename Graph>
+    struct PlanarityVisitor : DfsVisitor<Graph> {
+
+      TEMPLATE_GRAPH_TYPEDEFS(Graph);
+
+      typedef typename Graph::template NodeMap<Arc> PredMap;
+
+      typedef typename Graph::template EdgeMap<bool> TreeMap;
+
+      typedef typename Graph::template NodeMap<int> OrderMap;
+      typedef std::vector<Node> OrderList;
+
+      typedef typename Graph::template NodeMap<int> LowMap;
+      typedef typename Graph::template NodeMap<int> AncestorMap;
+
+      PlanarityVisitor(const Graph& graph,
+                       PredMap& pred_map, TreeMap& tree_map,
+                       OrderMap& order_map, OrderList& order_list,
+                       AncestorMap& ancestor_map, LowMap& low_map)
+        : _graph(graph), _pred_map(pred_map), _tree_map(tree_map),
+          _order_map(order_map), _order_list(order_list),
+          _ancestor_map(ancestor_map), _low_map(low_map) {}
+
+      void reach(const Node& node) {
+        _order_map[node] = _order_list.size();
+        _low_map[node] = _order_list.size();
+        _ancestor_map[node] = _order_list.size();
+        _order_list.push_back(node);
+      }
+
+      void discover(const Arc& arc) {
+        Node source = _graph.source(arc);
+        Node target = _graph.target(arc);
+
+        _tree_map[arc] = true;
+        _pred_map[target] = arc;
+      }
+
+      void examine(const Arc& arc) {
+        Node source = _graph.source(arc);
+        Node target = _graph.target(arc);
+
+        if (_order_map[target] < _order_map[source] && !_tree_map[arc]) {
+          if (_low_map[source] > _order_map[target]) {
+            _low_map[source] = _order_map[target];
+          }
+          if (_ancestor_map[source] > _order_map[target]) {
+            _ancestor_map[source] = _order_map[target];
+          }
+        }
+      }
+
+      void backtrack(const Arc& arc) {
+        Node source = _graph.source(arc);
+        Node target = _graph.target(arc);
+
+        if (_low_map[source] > _low_map[target]) {
+          _low_map[source] = _low_map[target];
+        }
+      }
+
+      const Graph& _graph;
+      PredMap& _pred_map;
+      TreeMap& _tree_map;
+      OrderMap& _order_map;
+      OrderList& _order_list;
+      AncestorMap& _ancestor_map;
+      LowMap& _low_map;
+    };
+
+    template <typename Graph, bool embedding = true>
+    struct NodeDataNode {
+      int prev, next;
+      int visited;
+      typename Graph::Arc first;
+      bool inverted;
+    };
+
+    template <typename Graph>
+    struct NodeDataNode<Graph, false> {
+      int prev, next;
+      int visited;
+    };
+
+    template <typename Graph>
+    struct ChildListNode {
+      typedef typename Graph::Node Node;
+      Node first;
+      Node prev, next;
+    };
+
+    template <typename Graph>
+    struct ArcListNode {
+      typename Graph::Arc prev, next;
+    };
+
+    template <typename Graph>
+    class PlanarityChecking {
+    private:
+      
+      TEMPLATE_GRAPH_TYPEDEFS(Graph);
+
+      const Graph& _graph;
+
+    private:
+      
+      typedef typename Graph::template NodeMap<Arc> PredMap;
+      
+      typedef typename Graph::template EdgeMap<bool> TreeMap;
+      
+      typedef typename Graph::template NodeMap<int> OrderMap;
+      typedef std::vector<Node> OrderList;
+
+      typedef typename Graph::template NodeMap<int> LowMap;
+      typedef typename Graph::template NodeMap<int> AncestorMap;
+
+      typedef _planarity_bits::NodeDataNode<Graph> NodeDataNode;
+      typedef std::vector<NodeDataNode> NodeData;
+
+      typedef _planarity_bits::ChildListNode<Graph> ChildListNode;
+      typedef typename Graph::template NodeMap<ChildListNode> ChildLists;
+
+      typedef typename Graph::template NodeMap<std::list<int> > MergeRoots;
+
+      typedef typename Graph::template NodeMap<bool> EmbedArc;
+
+    public:
+
+      PlanarityChecking(const Graph& graph) : _graph(graph) {}
+
+      bool run() {
+        typedef _planarity_bits::PlanarityVisitor<Graph> Visitor;
+
+        PredMap pred_map(_graph, INVALID);
+        TreeMap tree_map(_graph, false);
+
+        OrderMap order_map(_graph, -1);
+        OrderList order_list;
+
+        AncestorMap ancestor_map(_graph, -1);
+        LowMap low_map(_graph, -1);
+
+        Visitor visitor(_graph, pred_map, tree_map,
+                        order_map, order_list, ancestor_map, low_map);
+        DfsVisit<Graph, Visitor> visit(_graph, visitor);
+        visit.run();
+
+        ChildLists child_lists(_graph);
+        createChildLists(tree_map, order_map, low_map, child_lists);
+
+        NodeData node_data(2 * order_list.size());
+
+        EmbedArc embed_arc(_graph, false);
+
+        MergeRoots merge_roots(_graph);
+
+        for (int i = order_list.size() - 1; i >= 0; --i) {
+
+          Node node = order_list[i];
+
+          Node source = node;
+          for (OutArcIt e(_graph, node); e != INVALID; ++e) {
+            Node target = _graph.target(e);
+
+            if (order_map[source] < order_map[target] && tree_map[e]) {
+              initFace(target, node_data, order_map, order_list);
+            }
+          }
+
+          for (OutArcIt e(_graph, node); e != INVALID; ++e) {
+            Node target = _graph.target(e);
+
+            if (order_map[source] < order_map[target] && !tree_map[e]) {
+              embed_arc[target] = true;
+              walkUp(target, source, i, pred_map, low_map,
+                     order_map, order_list, node_data, merge_roots);
+            }
+          }
+
+          for (typename MergeRoots::Value::iterator it =
+                 merge_roots[node].begin(); 
+               it != merge_roots[node].end(); ++it) {
+            int rn = *it;
+            walkDown(rn, i, node_data, order_list, child_lists,
+                     ancestor_map, low_map, embed_arc, merge_roots);
+          }
+          merge_roots[node].clear();
+
+          for (OutArcIt e(_graph, node); e != INVALID; ++e) {
+            Node target = _graph.target(e);
+
+            if (order_map[source] < order_map[target] && !tree_map[e]) {
+              if (embed_arc[target]) {
+                return false;
+              }
+            }
+          }
+        }
+
+        return true;
+      }
+
+    private:
+
+      void createChildLists(const TreeMap& tree_map, const OrderMap& order_map,
+                            const LowMap& low_map, ChildLists& child_lists) {
+
+        for (NodeIt n(_graph); n != INVALID; ++n) {
+          Node source = n;
+
+          std::vector<Node> targets;
+          for (OutArcIt e(_graph, n); e != INVALID; ++e) {
+            Node target = _graph.target(e);
+
+            if (order_map[source] < order_map[target] && tree_map[e]) {
+              targets.push_back(target);
+            }
+          }
+
+          if (targets.size() == 0) {
+            child_lists[source].first = INVALID;
+          } else if (targets.size() == 1) {
+            child_lists[source].first = targets[0];
+            child_lists[targets[0]].prev = INVALID;
+            child_lists[targets[0]].next = INVALID;
+          } else {
+            radixSort(targets.begin(), targets.end(), mapToFunctor(low_map));
+            for (int i = 1; i < int(targets.size()); ++i) {
+              child_lists[targets[i]].prev = targets[i - 1];
+              child_lists[targets[i - 1]].next = targets[i];
+            }
+            child_lists[targets.back()].next = INVALID;
+            child_lists[targets.front()].prev = INVALID;
+            child_lists[source].first = targets.front();
+          }
+        }
+      }
+
+      void walkUp(const Node& node, Node root, int rorder,
+                  const PredMap& pred_map, const LowMap& low_map,
+                  const OrderMap& order_map, const OrderList& order_list,
+                  NodeData& node_data, MergeRoots& merge_roots) {
+
+        int na, nb;
+        bool da, db;
+
+        na = nb = order_map[node];
+        da = true; db = false;
+
+        while (true) {
+
+          if (node_data[na].visited == rorder) break;
+          if (node_data[nb].visited == rorder) break;
+
+          node_data[na].visited = rorder;
+          node_data[nb].visited = rorder;
+
+          int rn = -1;
+
+          if (na >= int(order_list.size())) {
+            rn = na;
+          } else if (nb >= int(order_list.size())) {
+            rn = nb;
+          }
+
+          if (rn == -1) {
+            int nn;
+
+            nn = da ? node_data[na].prev : node_data[na].next;
+            da = node_data[nn].prev != na;
+            na = nn;
+
+            nn = db ? node_data[nb].prev : node_data[nb].next;
+            db = node_data[nn].prev != nb;
+            nb = nn;
+
+          } else {
+
+            Node rep = order_list[rn - order_list.size()];
+            Node parent = _graph.source(pred_map[rep]);
+
+            if (low_map[rep] < rorder) {
+              merge_roots[parent].push_back(rn);
+            } else {
+              merge_roots[parent].push_front(rn);
+            }
+
+            if (parent != root) {
+              na = nb = order_map[parent];
+              da = true; db = false;
+            } else {
+              break;
+            }
+          }
+        }
+      }
+
+      void walkDown(int rn, int rorder, NodeData& node_data,
+                    OrderList& order_list, ChildLists& child_lists,
+                    AncestorMap& ancestor_map, LowMap& low_map,
+                    EmbedArc& embed_arc, MergeRoots& merge_roots) {
+
+        std::vector<std::pair<int, bool> > merge_stack;
+
+        for (int di = 0; di < 2; ++di) {
+          bool rd = di == 0;
+          int pn = rn;
+          int n = rd ? node_data[rn].next : node_data[rn].prev;
+
+          while (n != rn) {
+
+            Node node = order_list[n];
+
+            if (embed_arc[node]) {
+
+              // Merging components on the critical path
+              while (!merge_stack.empty()) {
+
+                // Component root
+                int cn = merge_stack.back().first;
+                bool cd = merge_stack.back().second;
+                merge_stack.pop_back();
+
+                // Parent of component
+                int dn = merge_stack.back().first;
+                bool dd = merge_stack.back().second;
+                merge_stack.pop_back();
+
+                Node parent = order_list[dn];
+
+                // Erasing from merge_roots
+                merge_roots[parent].pop_front();
+
+                Node child = order_list[cn - order_list.size()];
+
+                // Erasing from child_lists
+                if (child_lists[child].prev != INVALID) {
+                  child_lists[child_lists[child].prev].next =
+                    child_lists[child].next;
+                } else {
+                  child_lists[parent].first = child_lists[child].next;
+                }
+
+                if (child_lists[child].next != INVALID) {
+                  child_lists[child_lists[child].next].prev =
+                    child_lists[child].prev;
+                }
+
+                // Merging external faces
+                {
+                  int en = cn;
+                  cn = cd ? node_data[cn].prev : node_data[cn].next;
+                  cd = node_data[cn].next == en;
+
+                }
+
+                if (cd) node_data[cn].next = dn; else node_data[cn].prev = dn;
+                if (dd) node_data[dn].prev = cn; else node_data[dn].next = cn;
+
+              }
+
+              bool d = pn == node_data[n].prev;
+
+              if (node_data[n].prev == node_data[n].next &&
+                  node_data[n].inverted) {
+                d = !d;
+              }
+
+              // Embedding arc into external face
+              if (rd) node_data[rn].next = n; else node_data[rn].prev = n;
+              if (d) node_data[n].prev = rn; else node_data[n].next = rn;
+              pn = rn;
+
+              embed_arc[order_list[n]] = false;
+            }
+
+            if (!merge_roots[node].empty()) {
+
+              bool d = pn == node_data[n].prev;
+
+              merge_stack.push_back(std::make_pair(n, d));
+
+              int rn = merge_roots[node].front();
+
+              int xn = node_data[rn].next;
+              Node xnode = order_list[xn];
+
+              int yn = node_data[rn].prev;
+              Node ynode = order_list[yn];
+
+              bool rd;
+              if (!external(xnode, rorder, child_lists, 
+                            ancestor_map, low_map)) {
+                rd = true;
+              } else if (!external(ynode, rorder, child_lists,
+                                   ancestor_map, low_map)) {
+                rd = false;
+              } else if (pertinent(xnode, embed_arc, merge_roots)) {
+                rd = true;
+              } else {
+                rd = false;
+              }
+
+              merge_stack.push_back(std::make_pair(rn, rd));
+
+              pn = rn;
+              n = rd ? xn : yn;
+
+            } else if (!external(node, rorder, child_lists,
+                                 ancestor_map, low_map)) {
+              int nn = (node_data[n].next != pn ?
+                        node_data[n].next : node_data[n].prev);
+
+              bool nd = n == node_data[nn].prev;
+
+              if (nd) node_data[nn].prev = pn;
+              else node_data[nn].next = pn;
+
+              if (n == node_data[pn].prev) node_data[pn].prev = nn;
+              else node_data[pn].next = nn;
+
+              node_data[nn].inverted =
+                (node_data[nn].prev == node_data[nn].next && nd != rd);
+
+              n = nn;
+            }
+            else break;
+
+          }
+
+          if (!merge_stack.empty() || n == rn) {
+            break;
+          }
+        }
+      }
+
+      void initFace(const Node& node, NodeData& node_data,
+                    const OrderMap& order_map, const OrderList& order_list) {
+        int n = order_map[node];
+        int rn = n + order_list.size();
+
+        node_data[n].next = node_data[n].prev = rn;
+        node_data[rn].next = node_data[rn].prev = n;
+
+        node_data[n].visited = order_list.size();
+        node_data[rn].visited = order_list.size();
+
+      }
+
+      bool external(const Node& node, int rorder,
+                    ChildLists& child_lists, AncestorMap& ancestor_map,
+                    LowMap& low_map) {
+        Node child = child_lists[node].first;
+
+        if (child != INVALID) {
+          if (low_map[child] < rorder) return true;
+        }
+
+        if (ancestor_map[node] < rorder) return true;
+
+        return false;
+      }
+
+      bool pertinent(const Node& node, const EmbedArc& embed_arc,
+                     const MergeRoots& merge_roots) {
+        return !merge_roots[node].empty() || embed_arc[node];
+      }
+
+    };
+
+  }
+
+  /// \ingroup planar
+  ///
+  /// \brief Planarity checking of an undirected simple graph
+  ///
+  /// This function implements the Boyer-Myrvold algorithm for
+  /// planarity checking of an undirected graph. It is a simplified
+  /// version of the PlanarEmbedding algorithm class because neither
+  /// the embedding nor the kuratowski subdivisons are not computed.
+  template <typename GR>
+  bool checkPlanarity(const GR& graph) {
+    _planarity_bits::PlanarityChecking<GR> pc(graph);
+    return pc.run();
+  }
+
+  /// \ingroup planar
+  ///
+  /// \brief Planar embedding of an undirected simple graph
+  ///
+  /// This class implements the Boyer-Myrvold algorithm for planar
+  /// embedding of an undirected graph. The planar embedding is an
+  /// ordering of the outgoing edges of the nodes, which is a possible
+  /// configuration to draw the graph in the plane. If there is not
+  /// such ordering then the graph contains a \f$ K_5 \f$ (full graph
+  /// with 5 nodes) or a \f$ K_{3,3} \f$ (complete bipartite graph on
+  /// 3 ANode and 3 BNode) subdivision.
+  ///
+  /// The current implementation calculates either an embedding or a
+  /// Kuratowski subdivision. The running time of the algorithm is 
+  /// \f$ O(n) \f$.
+  template <typename Graph>
+  class PlanarEmbedding {
+  private:
+
+    TEMPLATE_GRAPH_TYPEDEFS(Graph);
+
+    const Graph& _graph;
+    typename Graph::template ArcMap<Arc> _embedding;
+
+    typename Graph::template EdgeMap<bool> _kuratowski;
+
+  private:
+
+    typedef typename Graph::template NodeMap<Arc> PredMap;
+
+    typedef typename Graph::template EdgeMap<bool> TreeMap;
+
+    typedef typename Graph::template NodeMap<int> OrderMap;
+    typedef std::vector<Node> OrderList;
+
+    typedef typename Graph::template NodeMap<int> LowMap;
+    typedef typename Graph::template NodeMap<int> AncestorMap;
+
+    typedef _planarity_bits::NodeDataNode<Graph> NodeDataNode;
+    typedef std::vector<NodeDataNode> NodeData;
+
+    typedef _planarity_bits::ChildListNode<Graph> ChildListNode;
+    typedef typename Graph::template NodeMap<ChildListNode> ChildLists;
+
+    typedef typename Graph::template NodeMap<std::list<int> > MergeRoots;
+
+    typedef typename Graph::template NodeMap<Arc> EmbedArc;
+
+    typedef _planarity_bits::ArcListNode<Graph> ArcListNode;
+    typedef typename Graph::template ArcMap<ArcListNode> ArcLists;
+
+    typedef typename Graph::template NodeMap<bool> FlipMap;
+
+    typedef typename Graph::template NodeMap<int> TypeMap;
+
+    enum IsolatorNodeType {
+      HIGHX = 6, LOWX = 7,
+      HIGHY = 8, LOWY = 9,
+      ROOT = 10, PERTINENT = 11,
+      INTERNAL = 12
+    };
+
+  public:
+
+    /// \brief The map for store of embedding
+    typedef typename Graph::template ArcMap<Arc> EmbeddingMap;
+
+    /// \brief Constructor
+    ///
+    /// \note The graph should be simple, i.e. parallel and loop arc
+    /// free.
+    PlanarEmbedding(const Graph& graph)
+      : _graph(graph), _embedding(_graph), _kuratowski(graph, false) {}
+
+    /// \brief Runs the algorithm.
+    ///
+    /// Runs the algorithm.
+    /// \param kuratowski If the parameter is false, then the
+    /// algorithm does not compute a Kuratowski subdivision.
+    ///\return %True when the graph is planar.
+    bool run(bool kuratowski = true) {
+      typedef _planarity_bits::PlanarityVisitor<Graph> Visitor;
+
+      PredMap pred_map(_graph, INVALID);
+      TreeMap tree_map(_graph, false);
+
+      OrderMap order_map(_graph, -1);
+      OrderList order_list;
+
+      AncestorMap ancestor_map(_graph, -1);
+      LowMap low_map(_graph, -1);
+
+      Visitor visitor(_graph, pred_map, tree_map,
+                      order_map, order_list, ancestor_map, low_map);
+      DfsVisit<Graph, Visitor> visit(_graph, visitor);
+      visit.run();
+
+      ChildLists child_lists(_graph);
+      createChildLists(tree_map, order_map, low_map, child_lists);
+
+      NodeData node_data(2 * order_list.size());
+
+      EmbedArc embed_arc(_graph, INVALID);
+
+      MergeRoots merge_roots(_graph);
+
+      ArcLists arc_lists(_graph);
+
+      FlipMap flip_map(_graph, false);
+
+      for (int i = order_list.size() - 1; i >= 0; --i) {
+
+        Node node = order_list[i];
+
+        node_data[i].first = INVALID;
+
+        Node source = node;
+        for (OutArcIt e(_graph, node); e != INVALID; ++e) {
+          Node target = _graph.target(e);
+
+          if (order_map[source] < order_map[target] && tree_map[e]) {
+            initFace(target, arc_lists, node_data,
+                     pred_map, order_map, order_list);
+          }
+        }
+
+        for (OutArcIt e(_graph, node); e != INVALID; ++e) {
+          Node target = _graph.target(e);
+
+          if (order_map[source] < order_map[target] && !tree_map[e]) {
+            embed_arc[target] = e;
+            walkUp(target, source, i, pred_map, low_map,
+                   order_map, order_list, node_data, merge_roots);
+          }
+        }
+
+        for (typename MergeRoots::Value::iterator it =
+               merge_roots[node].begin(); it != merge_roots[node].end(); ++it) {
+          int rn = *it;
+          walkDown(rn, i, node_data, arc_lists, flip_map, order_list,
+                   child_lists, ancestor_map, low_map, embed_arc, merge_roots);
+        }
+        merge_roots[node].clear();
+
+        for (OutArcIt e(_graph, node); e != INVALID; ++e) {
+          Node target = _graph.target(e);
+
+          if (order_map[source] < order_map[target] && !tree_map[e]) {
+            if (embed_arc[target] != INVALID) {
+              if (kuratowski) {
+                isolateKuratowski(e, node_data, arc_lists, flip_map,
+                                  order_map, order_list, pred_map, child_lists,
+                                  ancestor_map, low_map,
+                                  embed_arc, merge_roots);
+              }
+              return false;
+            }
+          }
+        }
+      }
+
+      for (int i = 0; i < int(order_list.size()); ++i) {
+
+        mergeRemainingFaces(order_list[i], node_data, order_list, order_map,
+                            child_lists, arc_lists);
+        storeEmbedding(order_list[i], node_data, order_map, pred_map,
+                       arc_lists, flip_map);
+      }
+
+      return true;
+    }
+
+    /// \brief Gives back the successor of an arc
+    ///
+    /// Gives back the successor of an arc. This function makes
+    /// possible to query the cyclic order of the outgoing arcs from
+    /// a node.
+    Arc next(const Arc& arc) const {
+      return _embedding[arc];
+    }
+
+    /// \brief Gives back the calculated embedding map
+    ///
+    /// The returned map contains the successor of each arc in the
+    /// graph.
+    const EmbeddingMap& embeddingMap() const {
+      return _embedding;
+    }
+
+    /// \brief Gives back true if the undirected arc is in the
+    /// kuratowski subdivision
+    ///
+    /// Gives back true if the undirected arc is in the kuratowski
+    /// subdivision
+    /// \note The \c run() had to be called with true value.
+    bool kuratowski(const Edge& edge) {
+      return _kuratowski[edge];
+    }
+
+  private:
+
+    void createChildLists(const TreeMap& tree_map, const OrderMap& order_map,
+                          const LowMap& low_map, ChildLists& child_lists) {
+
+      for (NodeIt n(_graph); n != INVALID; ++n) {
+        Node source = n;
+
+        std::vector<Node> targets;
+        for (OutArcIt e(_graph, n); e != INVALID; ++e) {
+          Node target = _graph.target(e);
+
+          if (order_map[source] < order_map[target] && tree_map[e]) {
+            targets.push_back(target);
+          }
+        }
+
+        if (targets.size() == 0) {
+          child_lists[source].first = INVALID;
+        } else if (targets.size() == 1) {
+          child_lists[source].first = targets[0];
+          child_lists[targets[0]].prev = INVALID;
+          child_lists[targets[0]].next = INVALID;
+        } else {
+          radixSort(targets.begin(), targets.end(), mapToFunctor(low_map));
+          for (int i = 1; i < int(targets.size()); ++i) {
+            child_lists[targets[i]].prev = targets[i - 1];
+            child_lists[targets[i - 1]].next = targets[i];
+          }
+          child_lists[targets.back()].next = INVALID;
+          child_lists[targets.front()].prev = INVALID;
+          child_lists[source].first = targets.front();
+        }
+      }
+    }
+
+    void walkUp(const Node& node, Node root, int rorder,
+                const PredMap& pred_map, const LowMap& low_map,
+                const OrderMap& order_map, const OrderList& order_list,
+                NodeData& node_data, MergeRoots& merge_roots) {
+
+      int na, nb;
+      bool da, db;
+
+      na = nb = order_map[node];
+      da = true; db = false;
+
+      while (true) {
+
+        if (node_data[na].visited == rorder) break;
+        if (node_data[nb].visited == rorder) break;
+
+        node_data[na].visited = rorder;
+        node_data[nb].visited = rorder;
+
+        int rn = -1;
+
+        if (na >= int(order_list.size())) {
+          rn = na;
+        } else if (nb >= int(order_list.size())) {
+          rn = nb;
+        }
+
+        if (rn == -1) {
+          int nn;
+
+          nn = da ? node_data[na].prev : node_data[na].next;
+          da = node_data[nn].prev != na;
+          na = nn;
+
+          nn = db ? node_data[nb].prev : node_data[nb].next;
+          db = node_data[nn].prev != nb;
+          nb = nn;
+
+        } else {
+
+          Node rep = order_list[rn - order_list.size()];
+          Node parent = _graph.source(pred_map[rep]);
+
+          if (low_map[rep] < rorder) {
+            merge_roots[parent].push_back(rn);
+          } else {
+            merge_roots[parent].push_front(rn);
+          }
+
+          if (parent != root) {
+            na = nb = order_map[parent];
+            da = true; db = false;
+          } else {
+            break;
+          }
+        }
+      }
+    }
+
+    void walkDown(int rn, int rorder, NodeData& node_data,
+                  ArcLists& arc_lists, FlipMap& flip_map,
+                  OrderList& order_list, ChildLists& child_lists,
+                  AncestorMap& ancestor_map, LowMap& low_map,
+                  EmbedArc& embed_arc, MergeRoots& merge_roots) {
+
+      std::vector<std::pair<int, bool> > merge_stack;
+
+      for (int di = 0; di < 2; ++di) {
+        bool rd = di == 0;
+        int pn = rn;
+        int n = rd ? node_data[rn].next : node_data[rn].prev;
+
+        while (n != rn) {
+
+          Node node = order_list[n];
+
+          if (embed_arc[node] != INVALID) {
+
+            // Merging components on the critical path
+            while (!merge_stack.empty()) {
+
+              // Component root
+              int cn = merge_stack.back().first;
+              bool cd = merge_stack.back().second;
+              merge_stack.pop_back();
+
+              // Parent of component
+              int dn = merge_stack.back().first;
+              bool dd = merge_stack.back().second;
+              merge_stack.pop_back();
+
+              Node parent = order_list[dn];
+
+              // Erasing from merge_roots
+              merge_roots[parent].pop_front();
+
+              Node child = order_list[cn - order_list.size()];
+
+              // Erasing from child_lists
+              if (child_lists[child].prev != INVALID) {
+                child_lists[child_lists[child].prev].next =
+                  child_lists[child].next;
+              } else {
+                child_lists[parent].first = child_lists[child].next;
+              }
+
+              if (child_lists[child].next != INVALID) {
+                child_lists[child_lists[child].next].prev =
+                  child_lists[child].prev;
+              }
+
+              // Merging arcs + flipping
+              Arc de = node_data[dn].first;
+              Arc ce = node_data[cn].first;
+
+              flip_map[order_list[cn - order_list.size()]] = cd != dd;
+              if (cd != dd) {
+                std::swap(arc_lists[ce].prev, arc_lists[ce].next);
+                ce = arc_lists[ce].prev;
+                std::swap(arc_lists[ce].prev, arc_lists[ce].next);
+              }
+
+              {
+                Arc dne = arc_lists[de].next;
+                Arc cne = arc_lists[ce].next;
+
+                arc_lists[de].next = cne;
+                arc_lists[ce].next = dne;
+
+                arc_lists[dne].prev = ce;
+                arc_lists[cne].prev = de;
+              }
+
+              if (dd) {
+                node_data[dn].first = ce;
+              }
+
+              // Merging external faces
+              {
+                int en = cn;
+                cn = cd ? node_data[cn].prev : node_data[cn].next;
+                cd = node_data[cn].next == en;
+
+                 if (node_data[cn].prev == node_data[cn].next &&
+                    node_data[cn].inverted) {
+                   cd = !cd;
+                 }
+              }
+
+              if (cd) node_data[cn].next = dn; else node_data[cn].prev = dn;
+              if (dd) node_data[dn].prev = cn; else node_data[dn].next = cn;
+
+            }
+
+            bool d = pn == node_data[n].prev;
+
+            if (node_data[n].prev == node_data[n].next &&
+                node_data[n].inverted) {
+              d = !d;
+            }
+
+            // Add new arc
+            {
+              Arc arc = embed_arc[node];
+              Arc re = node_data[rn].first;
+
+              arc_lists[arc_lists[re].next].prev = arc;
+              arc_lists[arc].next = arc_lists[re].next;
+              arc_lists[arc].prev = re;
+              arc_lists[re].next = arc;
+
+              if (!rd) {
+                node_data[rn].first = arc;
+              }
+
+              Arc rev = _graph.oppositeArc(arc);
+              Arc e = node_data[n].first;
+
+              arc_lists[arc_lists[e].next].prev = rev;
+              arc_lists[rev].next = arc_lists[e].next;
+              arc_lists[rev].prev = e;
+              arc_lists[e].next = rev;
+
+              if (d) {
+                node_data[n].first = rev;
+              }
+
+            }
+
+            // Embedding arc into external face
+            if (rd) node_data[rn].next = n; else node_data[rn].prev = n;
+            if (d) node_data[n].prev = rn; else node_data[n].next = rn;
+            pn = rn;
+
+            embed_arc[order_list[n]] = INVALID;
+          }
+
+          if (!merge_roots[node].empty()) {
+
+            bool d = pn == node_data[n].prev;
+            if (node_data[n].prev == node_data[n].next &&
+                node_data[n].inverted) {
+              d = !d;
+            }
+
+            merge_stack.push_back(std::make_pair(n, d));
+
+            int rn = merge_roots[node].front();
+
+            int xn = node_data[rn].next;
+            Node xnode = order_list[xn];
+
+            int yn = node_data[rn].prev;
+            Node ynode = order_list[yn];
+
+            bool rd;
+            if (!external(xnode, rorder, child_lists, ancestor_map, low_map)) {
+              rd = true;
+            } else if (!external(ynode, rorder, child_lists,
+                                 ancestor_map, low_map)) {
+              rd = false;
+            } else if (pertinent(xnode, embed_arc, merge_roots)) {
+              rd = true;
+            } else {
+              rd = false;
+            }
+
+            merge_stack.push_back(std::make_pair(rn, rd));
+
+            pn = rn;
+            n = rd ? xn : yn;
+
+          } else if (!external(node, rorder, child_lists,
+                               ancestor_map, low_map)) {
+            int nn = (node_data[n].next != pn ?
+                      node_data[n].next : node_data[n].prev);
+
+            bool nd = n == node_data[nn].prev;
+
+            if (nd) node_data[nn].prev = pn;
+            else node_data[nn].next = pn;
+
+            if (n == node_data[pn].prev) node_data[pn].prev = nn;
+            else node_data[pn].next = nn;
+
+            node_data[nn].inverted =
+              (node_data[nn].prev == node_data[nn].next && nd != rd);
+
+            n = nn;
+          }
+          else break;
+
+        }
+
+        if (!merge_stack.empty() || n == rn) {
+          break;
+        }
+      }
+    }
+
+    void initFace(const Node& node, ArcLists& arc_lists,
+                  NodeData& node_data, const PredMap& pred_map,
+                  const OrderMap& order_map, const OrderList& order_list) {
+      int n = order_map[node];
+      int rn = n + order_list.size();
+
+      node_data[n].next = node_data[n].prev = rn;
+      node_data[rn].next = node_data[rn].prev = n;
+
+      node_data[n].visited = order_list.size();
+      node_data[rn].visited = order_list.size();
+
+      node_data[n].inverted = false;
+      node_data[rn].inverted = false;
+
+      Arc arc = pred_map[node];
+      Arc rev = _graph.oppositeArc(arc);
+
+      node_data[rn].first = arc;
+      node_data[n].first = rev;
+
+      arc_lists[arc].prev = arc;
+      arc_lists[arc].next = arc;
+
+      arc_lists[rev].prev = rev;
+      arc_lists[rev].next = rev;
+
+    }
+
+    void mergeRemainingFaces(const Node& node, NodeData& node_data,
+                             OrderList& order_list, OrderMap& order_map,
+                             ChildLists& child_lists, ArcLists& arc_lists) {
+      while (child_lists[node].first != INVALID) {
+        int dd = order_map[node];
+        Node child = child_lists[node].first;
+        int cd = order_map[child] + order_list.size();
+        child_lists[node].first = child_lists[child].next;
+
+        Arc de = node_data[dd].first;
+        Arc ce = node_data[cd].first;
+
+        if (de != INVALID) {
+          Arc dne = arc_lists[de].next;
+          Arc cne = arc_lists[ce].next;
+
+          arc_lists[de].next = cne;
+          arc_lists[ce].next = dne;
+
+          arc_lists[dne].prev = ce;
+          arc_lists[cne].prev = de;
+        }
+
+        node_data[dd].first = ce;
+
+      }
+    }
+
+    void storeEmbedding(const Node& node, NodeData& node_data,
+                        OrderMap& order_map, PredMap& pred_map,
+                        ArcLists& arc_lists, FlipMap& flip_map) {
+
+      if (node_data[order_map[node]].first == INVALID) return;
+
+      if (pred_map[node] != INVALID) {
+        Node source = _graph.source(pred_map[node]);
+        flip_map[node] = flip_map[node] != flip_map[source];
+      }
+
+      Arc first = node_data[order_map[node]].first;
+      Arc prev = first;
+
+      Arc arc = flip_map[node] ?
+        arc_lists[prev].prev : arc_lists[prev].next;
+
+      _embedding[prev] = arc;
+
+      while (arc != first) {
+        Arc next = arc_lists[arc].prev == prev ?
+          arc_lists[arc].next : arc_lists[arc].prev;
+        prev = arc; arc = next;
+        _embedding[prev] = arc;
+      }
+    }
+
+
+    bool external(const Node& node, int rorder,
+                  ChildLists& child_lists, AncestorMap& ancestor_map,
+                  LowMap& low_map) {
+      Node child = child_lists[node].first;
+
+      if (child != INVALID) {
+        if (low_map[child] < rorder) return true;
+      }
+
+      if (ancestor_map[node] < rorder) return true;
+
+      return false;
+    }
+
+    bool pertinent(const Node& node, const EmbedArc& embed_arc,
+                   const MergeRoots& merge_roots) {
+      return !merge_roots[node].empty() || embed_arc[node] != INVALID;
+    }
+
+    int lowPoint(const Node& node, OrderMap& order_map, ChildLists& child_lists,
+                 AncestorMap& ancestor_map, LowMap& low_map) {
+      int low_point;
+
+      Node child = child_lists[node].first;
+
+      if (child != INVALID) {
+        low_point = low_map[child];
+      } else {
+        low_point = order_map[node];
+      }
+
+      if (low_point > ancestor_map[node]) {
+        low_point = ancestor_map[node];
+      }
+
+      return low_point;
+    }
+
+    int findComponentRoot(Node root, Node node, ChildLists& child_lists,
+                          OrderMap& order_map, OrderList& order_list) {
+
+      int order = order_map[root];
+      int norder = order_map[node];
+
+      Node child = child_lists[root].first;
+      while (child != INVALID) {
+        int corder = order_map[child];
+        if (corder > order && corder < norder) {
+          order = corder;
+        }
+        child = child_lists[child].next;
+      }
+      return order + order_list.size();
+    }
+
+    Node findPertinent(Node node, OrderMap& order_map, NodeData& node_data,
+                       EmbedArc& embed_arc, MergeRoots& merge_roots) {
+      Node wnode =_graph.target(node_data[order_map[node]].first);
+      while (!pertinent(wnode, embed_arc, merge_roots)) {
+        wnode = _graph.target(node_data[order_map[wnode]].first);
+      }
+      return wnode;
+    }
+
+
+    Node findExternal(Node node, int rorder, OrderMap& order_map,
+                      ChildLists& child_lists, AncestorMap& ancestor_map,
+                      LowMap& low_map, NodeData& node_data) {
+      Node wnode =_graph.target(node_data[order_map[node]].first);
+      while (!external(wnode, rorder, child_lists, ancestor_map, low_map)) {
+        wnode = _graph.target(node_data[order_map[wnode]].first);
+      }
+      return wnode;
+    }
+
+    void markCommonPath(Node node, int rorder, Node& wnode, Node& znode,
+                        OrderList& order_list, OrderMap& order_map,
+                        NodeData& node_data, ArcLists& arc_lists,
+                        EmbedArc& embed_arc, MergeRoots& merge_roots,
+                        ChildLists& child_lists, AncestorMap& ancestor_map,
+                        LowMap& low_map) {
+
+      Node cnode = node;
+      Node pred = INVALID;
+
+      while (true) {
+
+        bool pert = pertinent(cnode, embed_arc, merge_roots);
+        bool ext = external(cnode, rorder, child_lists, ancestor_map, low_map);
+
+        if (pert && ext) {
+          if (!merge_roots[cnode].empty()) {
+            int cn = merge_roots[cnode].back();
+
+            if (low_map[order_list[cn - order_list.size()]] < rorder) {
+              Arc arc = node_data[cn].first;
+              _kuratowski.set(arc, true);
+
+              pred = cnode;
+              cnode = _graph.target(arc);
+
+              continue;
+            }
+          }
+          wnode = znode = cnode;
+          return;
+
+        } else if (pert) {
+          wnode = cnode;
+
+          while (!external(cnode, rorder, child_lists, ancestor_map, low_map)) {
+            Arc arc = node_data[order_map[cnode]].first;
+
+            if (_graph.target(arc) == pred) {
+              arc = arc_lists[arc].next;
+            }
+            _kuratowski.set(arc, true);
+
+            Node next = _graph.target(arc);
+            pred = cnode; cnode = next;
+          }
+
+          znode = cnode;
+          return;
+
+        } else if (ext) {
+          znode = cnode;
+
+          while (!pertinent(cnode, embed_arc, merge_roots)) {
+            Arc arc = node_data[order_map[cnode]].first;
+
+            if (_graph.target(arc) == pred) {
+              arc = arc_lists[arc].next;
+            }
+            _kuratowski.set(arc, true);
+
+            Node next = _graph.target(arc);
+            pred = cnode; cnode = next;
+          }
+
+          wnode = cnode;
+          return;
+
+        } else {
+          Arc arc = node_data[order_map[cnode]].first;
+
+          if (_graph.target(arc) == pred) {
+            arc = arc_lists[arc].next;
+          }
+          _kuratowski.set(arc, true);
+
+          Node next = _graph.target(arc);
+          pred = cnode; cnode = next;
+        }
+
+      }
+
+    }
+
+    void orientComponent(Node root, int rn, OrderMap& order_map,
+                         PredMap& pred_map, NodeData& node_data,
+                         ArcLists& arc_lists, FlipMap& flip_map,
+                         TypeMap& type_map) {
+      node_data[order_map[root]].first = node_data[rn].first;
+      type_map[root] = 1;
+
+      std::vector<Node> st, qu;
+
+      st.push_back(root);
+      while (!st.empty()) {
+        Node node = st.back();
+        st.pop_back();
+        qu.push_back(node);
+
+        Arc arc = node_data[order_map[node]].first;
+
+        if (type_map[_graph.target(arc)] == 0) {
+          st.push_back(_graph.target(arc));
+          type_map[_graph.target(arc)] = 1;
+        }
+
+        Arc last = arc, pred = arc;
+        arc = arc_lists[arc].next;
+        while (arc != last) {
+
+          if (type_map[_graph.target(arc)] == 0) {
+            st.push_back(_graph.target(arc));
+            type_map[_graph.target(arc)] = 1;
+          }
+
+          Arc next = arc_lists[arc].next != pred ?
+            arc_lists[arc].next : arc_lists[arc].prev;
+          pred = arc; arc = next;
+        }
+
+      }
+
+      type_map[root] = 2;
+      flip_map[root] = false;
+
+      for (int i = 1; i < int(qu.size()); ++i) {
+
+        Node node = qu[i];
+
+        while (type_map[node] != 2) {
+          st.push_back(node);
+          type_map[node] = 2;
+          node = _graph.source(pred_map[node]);
+        }
+
+        bool flip = flip_map[node];
+
+        while (!st.empty()) {
+          node = st.back();
+          st.pop_back();
+
+          flip_map[node] = flip != flip_map[node];
+          flip = flip_map[node];
+
+          if (flip) {
+            Arc arc = node_data[order_map[node]].first;
+            std::swap(arc_lists[arc].prev, arc_lists[arc].next);
+            arc = arc_lists[arc].prev;
+            std::swap(arc_lists[arc].prev, arc_lists[arc].next);
+            node_data[order_map[node]].first = arc;
+          }
+        }
+      }
+
+      for (int i = 0; i < int(qu.size()); ++i) {
+
+        Arc arc = node_data[order_map[qu[i]]].first;
+        Arc last = arc, pred = arc;
+
+        arc = arc_lists[arc].next;
+        while (arc != last) {
+
+          if (arc_lists[arc].next == pred) {
+            std::swap(arc_lists[arc].next, arc_lists[arc].prev);
+          }
+          pred = arc; arc = arc_lists[arc].next;
+        }
+
+      }
+    }
+
+    void setFaceFlags(Node root, Node wnode, Node ynode, Node xnode,
+                      OrderMap& order_map, NodeData& node_data,
+                      TypeMap& type_map) {
+      Node node = _graph.target(node_data[order_map[root]].first);
+
+      while (node != ynode) {
+        type_map[node] = HIGHY;
+        node = _graph.target(node_data[order_map[node]].first);
+      }
+
+      while (node != wnode) {
+        type_map[node] = LOWY;
+        node = _graph.target(node_data[order_map[node]].first);
+      }
+
+      node = _graph.target(node_data[order_map[wnode]].first);
+
+      while (node != xnode) {
+        type_map[node] = LOWX;
+        node = _graph.target(node_data[order_map[node]].first);
+      }
+      type_map[node] = LOWX;
+
+      node = _graph.target(node_data[order_map[xnode]].first);
+      while (node != root) {
+        type_map[node] = HIGHX;
+        node = _graph.target(node_data[order_map[node]].first);
+      }
+
+      type_map[wnode] = PERTINENT;
+      type_map[root] = ROOT;
+    }
+
+    void findInternalPath(std::vector<Arc>& ipath,
+                          Node wnode, Node root, TypeMap& type_map,
+                          OrderMap& order_map, NodeData& node_data,
+                          ArcLists& arc_lists) {
+      std::vector<Arc> st;
+
+      Node node = wnode;
+
+      while (node != root) {
+        Arc arc = arc_lists[node_data[order_map[node]].first].next;
+        st.push_back(arc);
+        node = _graph.target(arc);
+      }
+
+      while (true) {
+        Arc arc = st.back();
+        if (type_map[_graph.target(arc)] == LOWX ||
+            type_map[_graph.target(arc)] == HIGHX) {
+          break;
+        }
+        if (type_map[_graph.target(arc)] == 2) {
+          type_map[_graph.target(arc)] = 3;
+
+          arc = arc_lists[_graph.oppositeArc(arc)].next;
+          st.push_back(arc);
+        } else {
+          st.pop_back();
+          arc = arc_lists[arc].next;
+
+          while (_graph.oppositeArc(arc) == st.back()) {
+            arc = st.back();
+            st.pop_back();
+            arc = arc_lists[arc].next;
+          }
+          st.push_back(arc);
+        }
+      }
+
+      for (int i = 0; i < int(st.size()); ++i) {
+        if (type_map[_graph.target(st[i])] != LOWY &&
+            type_map[_graph.target(st[i])] != HIGHY) {
+          for (; i < int(st.size()); ++i) {
+            ipath.push_back(st[i]);
+          }
+        }
+      }
+    }
+
+    void setInternalFlags(std::vector<Arc>& ipath, TypeMap& type_map) {
+      for (int i = 1; i < int(ipath.size()); ++i) {
+        type_map[_graph.source(ipath[i])] = INTERNAL;
+      }
+    }
+
+    void findPilePath(std::vector<Arc>& ppath,
+                      Node root, TypeMap& type_map, OrderMap& order_map,
+                      NodeData& node_data, ArcLists& arc_lists) {
+      std::vector<Arc> st;
+
+      st.push_back(_graph.oppositeArc(node_data[order_map[root]].first));
+      st.push_back(node_data[order_map[root]].first);
+
+      while (st.size() > 1) {
+        Arc arc = st.back();
+        if (type_map[_graph.target(arc)] == INTERNAL) {
+          break;
+        }
+        if (type_map[_graph.target(arc)] == 3) {
+          type_map[_graph.target(arc)] = 4;
+
+          arc = arc_lists[_graph.oppositeArc(arc)].next;
+          st.push_back(arc);
+        } else {
+          st.pop_back();
+          arc = arc_lists[arc].next;
+
+          while (!st.empty() && _graph.oppositeArc(arc) == st.back()) {
+            arc = st.back();
+            st.pop_back();
+            arc = arc_lists[arc].next;
+          }
+          st.push_back(arc);
+        }
+      }
+
+      for (int i = 1; i < int(st.size()); ++i) {
+        ppath.push_back(st[i]);
+      }
+    }
+
+
+    int markExternalPath(Node node, OrderMap& order_map,
+                         ChildLists& child_lists, PredMap& pred_map,
+                         AncestorMap& ancestor_map, LowMap& low_map) {
+      int lp = lowPoint(node, order_map, child_lists,
+                        ancestor_map, low_map);
+
+      if (ancestor_map[node] != lp) {
+        node = child_lists[node].first;
+        _kuratowski[pred_map[node]] = true;
+
+        while (ancestor_map[node] != lp) {
+          for (OutArcIt e(_graph, node); e != INVALID; ++e) {
+            Node tnode = _graph.target(e);
+            if (order_map[tnode] > order_map[node] && low_map[tnode] == lp) {
+              node = tnode;
+              _kuratowski[e] = true;
+              break;
+            }
+          }
+        }
+      }
+
+      for (OutArcIt e(_graph, node); e != INVALID; ++e) {
+        if (order_map[_graph.target(e)] == lp) {
+          _kuratowski[e] = true;
+          break;
+        }
+      }
+
+      return lp;
+    }
+
+    void markPertinentPath(Node node, OrderMap& order_map,
+                           NodeData& node_data, ArcLists& arc_lists,
+                           EmbedArc& embed_arc, MergeRoots& merge_roots) {
+      while (embed_arc[node] == INVALID) {
+        int n = merge_roots[node].front();
+        Arc arc = node_data[n].first;
+
+        _kuratowski.set(arc, true);
+
+        Node pred = node;
+        node = _graph.target(arc);
+        while (!pertinent(node, embed_arc, merge_roots)) {
+          arc = node_data[order_map[node]].first;
+          if (_graph.target(arc) == pred) {
+            arc = arc_lists[arc].next;
+          }
+          _kuratowski.set(arc, true);
+          pred = node;
+          node = _graph.target(arc);
+        }
+      }
+      _kuratowski.set(embed_arc[node], true);
+    }
+
+    void markPredPath(Node node, Node snode, PredMap& pred_map) {
+      while (node != snode) {
+        _kuratowski.set(pred_map[node], true);
+        node = _graph.source(pred_map[node]);
+      }
+    }
+
+    void markFacePath(Node ynode, Node xnode,
+                      OrderMap& order_map, NodeData& node_data) {
+      Arc arc = node_data[order_map[ynode]].first;
+      Node node = _graph.target(arc);
+      _kuratowski.set(arc, true);
+
+      while (node != xnode) {
+        arc = node_data[order_map[node]].first;
+        _kuratowski.set(arc, true);
+        node = _graph.target(arc);
+      }
+    }
+
+    void markInternalPath(std::vector<Arc>& path) {
+      for (int i = 0; i < int(path.size()); ++i) {
+        _kuratowski.set(path[i], true);
+      }
+    }
+
+    void markPilePath(std::vector<Arc>& path) {
+      for (int i = 0; i < int(path.size()); ++i) {
+        _kuratowski.set(path[i], true);
+      }
+    }
+
+    void isolateKuratowski(Arc arc, NodeData& node_data,
+                           ArcLists& arc_lists, FlipMap& flip_map,
+                           OrderMap& order_map, OrderList& order_list,
+                           PredMap& pred_map, ChildLists& child_lists,
+                           AncestorMap& ancestor_map, LowMap& low_map,
+                           EmbedArc& embed_arc, MergeRoots& merge_roots) {
+
+      Node root = _graph.source(arc);
+      Node enode = _graph.target(arc);
+
+      int rorder = order_map[root];
+
+      TypeMap type_map(_graph, 0);
+
+      int rn = findComponentRoot(root, enode, child_lists,
+                                 order_map, order_list);
+
+      Node xnode = order_list[node_data[rn].next];
+      Node ynode = order_list[node_data[rn].prev];
+
+      // Minor-A
+      {
+        while (!merge_roots[xnode].empty() || !merge_roots[ynode].empty()) {
+
+          if (!merge_roots[xnode].empty()) {
+            root = xnode;
+            rn = merge_roots[xnode].front();
+          } else {
+            root = ynode;
+            rn = merge_roots[ynode].front();
+          }
+
+          xnode = order_list[node_data[rn].next];
+          ynode = order_list[node_data[rn].prev];
+        }
+
+        if (root != _graph.source(arc)) {
+          orientComponent(root, rn, order_map, pred_map,
+                          node_data, arc_lists, flip_map, type_map);
+          markFacePath(root, root, order_map, node_data);
+          int xlp = markExternalPath(xnode, order_map, child_lists,
+                                     pred_map, ancestor_map, low_map);
+          int ylp = markExternalPath(ynode, order_map, child_lists,
+                                     pred_map, ancestor_map, low_map);
+          markPredPath(root, order_list[xlp < ylp ? xlp : ylp], pred_map);
+          Node lwnode = findPertinent(ynode, order_map, node_data,
+                                      embed_arc, merge_roots);
+
+          markPertinentPath(lwnode, order_map, node_data, arc_lists,
+                            embed_arc, merge_roots);
+
+          return;
+        }
+      }
+
+      orientComponent(root, rn, order_map, pred_map,
+                      node_data, arc_lists, flip_map, type_map);
+
+      Node wnode = findPertinent(ynode, order_map, node_data,
+                                 embed_arc, merge_roots);
+      setFaceFlags(root, wnode, ynode, xnode, order_map, node_data, type_map);
+
+
+      //Minor-B
+      if (!merge_roots[wnode].empty()) {
+        int cn = merge_roots[wnode].back();
+        Node rep = order_list[cn - order_list.size()];
+        if (low_map[rep] < rorder) {
+          markFacePath(root, root, order_map, node_data);
+          int xlp = markExternalPath(xnode, order_map, child_lists,
+                                     pred_map, ancestor_map, low_map);
+          int ylp = markExternalPath(ynode, order_map, child_lists,
+                                     pred_map, ancestor_map, low_map);
+
+          Node lwnode, lznode;
+          markCommonPath(wnode, rorder, lwnode, lznode, order_list,
+                         order_map, node_data, arc_lists, embed_arc,
+                         merge_roots, child_lists, ancestor_map, low_map);
+
+          markPertinentPath(lwnode, order_map, node_data, arc_lists,
+                            embed_arc, merge_roots);
+          int zlp = markExternalPath(lznode, order_map, child_lists,
+                                     pred_map, ancestor_map, low_map);
+
+          int minlp = xlp < ylp ? xlp : ylp;
+          if (zlp < minlp) minlp = zlp;
+
+          int maxlp = xlp > ylp ? xlp : ylp;
+          if (zlp > maxlp) maxlp = zlp;
+
+          markPredPath(order_list[maxlp], order_list[minlp], pred_map);
+
+          return;
+        }
+      }
+
+      Node pxnode, pynode;
+      std::vector<Arc> ipath;
+      findInternalPath(ipath, wnode, root, type_map, order_map,
+                       node_data, arc_lists);
+      setInternalFlags(ipath, type_map);
+      pynode = _graph.source(ipath.front());
+      pxnode = _graph.target(ipath.back());
+
+      wnode = findPertinent(pynode, order_map, node_data,
+                            embed_arc, merge_roots);
+
+      // Minor-C
+      {
+        if (type_map[_graph.source(ipath.front())] == HIGHY) {
+          if (type_map[_graph.target(ipath.back())] == HIGHX) {
+            markFacePath(xnode, pxnode, order_map, node_data);
+          }
+          markFacePath(root, xnode, order_map, node_data);
+          markPertinentPath(wnode, order_map, node_data, arc_lists,
+                            embed_arc, merge_roots);
+          markInternalPath(ipath);
+          int xlp = markExternalPath(xnode, order_map, child_lists,
+                                     pred_map, ancestor_map, low_map);
+          int ylp = markExternalPath(ynode, order_map, child_lists,
+                                     pred_map, ancestor_map, low_map);
+          markPredPath(root, order_list[xlp < ylp ? xlp : ylp], pred_map);
+          return;
+        }
+
+        if (type_map[_graph.target(ipath.back())] == HIGHX) {
+          markFacePath(ynode, root, order_map, node_data);
+          markPertinentPath(wnode, order_map, node_data, arc_lists,
+                            embed_arc, merge_roots);
+          markInternalPath(ipath);
+          int xlp = markExternalPath(xnode, order_map, child_lists,
+                                     pred_map, ancestor_map, low_map);
+          int ylp = markExternalPath(ynode, order_map, child_lists,
+                                     pred_map, ancestor_map, low_map);
+          markPredPath(root, order_list[xlp < ylp ? xlp : ylp], pred_map);
+          return;
+        }
+      }
+
+      std::vector<Arc> ppath;
+      findPilePath(ppath, root, type_map, order_map, node_data, arc_lists);
+
+      // Minor-D
+      if (!ppath.empty()) {
+        markFacePath(ynode, xnode, order_map, node_data);
+        markPertinentPath(wnode, order_map, node_data, arc_lists,
+                          embed_arc, merge_roots);
+        markPilePath(ppath);
+        markInternalPath(ipath);
+        int xlp = markExternalPath(xnode, order_map, child_lists,
+                                   pred_map, ancestor_map, low_map);
+        int ylp = markExternalPath(ynode, order_map, child_lists,
+                                   pred_map, ancestor_map, low_map);
+        markPredPath(root, order_list[xlp < ylp ? xlp : ylp], pred_map);
+        return;
+      }
+
+      // Minor-E*
+      {
+
+        if (!external(wnode, rorder, child_lists, ancestor_map, low_map)) {
+          Node znode = findExternal(pynode, rorder, order_map,
+                                    child_lists, ancestor_map,
+                                    low_map, node_data);
+
+          if (type_map[znode] == LOWY) {
+            markFacePath(root, xnode, order_map, node_data);
+            markPertinentPath(wnode, order_map, node_data, arc_lists,
+                              embed_arc, merge_roots);
+            markInternalPath(ipath);
+            int xlp = markExternalPath(xnode, order_map, child_lists,
+                                       pred_map, ancestor_map, low_map);
+            int zlp = markExternalPath(znode, order_map, child_lists,
+                                       pred_map, ancestor_map, low_map);
+            markPredPath(root, order_list[xlp < zlp ? xlp : zlp], pred_map);
+          } else {
+            markFacePath(ynode, root, order_map, node_data);
+            markPertinentPath(wnode, order_map, node_data, arc_lists,
+                              embed_arc, merge_roots);
+            markInternalPath(ipath);
+            int ylp = markExternalPath(ynode, order_map, child_lists,
+                                       pred_map, ancestor_map, low_map);
+            int zlp = markExternalPath(znode, order_map, child_lists,
+                                       pred_map, ancestor_map, low_map);
+            markPredPath(root, order_list[ylp < zlp ? ylp : zlp], pred_map);
+          }
+          return;
+        }
+
+        int xlp = markExternalPath(xnode, order_map, child_lists,
+                                   pred_map, ancestor_map, low_map);
+        int ylp = markExternalPath(ynode, order_map, child_lists,
+                                   pred_map, ancestor_map, low_map);
+        int wlp = markExternalPath(wnode, order_map, child_lists,
+                                   pred_map, ancestor_map, low_map);
+
+        if (wlp > xlp && wlp > ylp) {
+          markFacePath(root, root, order_map, node_data);
+          markPredPath(root, order_list[xlp < ylp ? xlp : ylp], pred_map);
+          return;
+        }
+
+        markInternalPath(ipath);
+        markPertinentPath(wnode, order_map, node_data, arc_lists,
+                          embed_arc, merge_roots);
+
+        if (xlp > ylp && xlp > wlp) {
+          markFacePath(root, pynode, order_map, node_data);
+          markFacePath(wnode, xnode, order_map, node_data);
+          markPredPath(root, order_list[ylp < wlp ? ylp : wlp], pred_map);
+          return;
+        }
+
+        if (ylp > xlp && ylp > wlp) {
+          markFacePath(pxnode, root, order_map, node_data);
+          markFacePath(ynode, wnode, order_map, node_data);
+          markPredPath(root, order_list[xlp < wlp ? xlp : wlp], pred_map);
+          return;
+        }
+
+        if (pynode != ynode) {
+          markFacePath(pxnode, wnode, order_map, node_data);
+
+          int minlp = xlp < ylp ? xlp : ylp;
+          if (wlp < minlp) minlp = wlp;
+
+          int maxlp = xlp > ylp ? xlp : ylp;
+          if (wlp > maxlp) maxlp = wlp;
+
+          markPredPath(order_list[maxlp], order_list[minlp], pred_map);
+          return;
+        }
+
+        if (pxnode != xnode) {
+          markFacePath(wnode, pynode, order_map, node_data);
+
+          int minlp = xlp < ylp ? xlp : ylp;
+          if (wlp < minlp) minlp = wlp;
+
+          int maxlp = xlp > ylp ? xlp : ylp;
+          if (wlp > maxlp) maxlp = wlp;
+
+          markPredPath(order_list[maxlp], order_list[minlp], pred_map);
+          return;
+        }
+
+        markFacePath(root, root, order_map, node_data);
+        int minlp = xlp < ylp ? xlp : ylp;
+        if (wlp < minlp) minlp = wlp;
+        markPredPath(root, order_list[minlp], pred_map);
+        return;
+      }
+
+    }
+
+  };
+
+  namespace _planarity_bits {
+
+    template <typename Graph, typename EmbeddingMap>
+    void makeConnected(Graph& graph, EmbeddingMap& embedding) {
+      DfsVisitor<Graph> null_visitor;
+      DfsVisit<Graph, DfsVisitor<Graph> > dfs(graph, null_visitor);
+      dfs.init();
+
+      typename Graph::Node u = INVALID;
+      for (typename Graph::NodeIt n(graph); n != INVALID; ++n) {
+        if (!dfs.reached(n)) {
+          dfs.addSource(n);
+          dfs.start();
+          if (u == INVALID) {
+            u = n;
+          } else {
+            typename Graph::Node v = n;
+
+            typename Graph::Arc ue = typename Graph::OutArcIt(graph, u);
+            typename Graph::Arc ve = typename Graph::OutArcIt(graph, v);
+
+            typename Graph::Arc e = graph.direct(graph.addEdge(u, v), true);
+
+            if (ue != INVALID) {
+              embedding[e] = embedding[ue];
+              embedding[ue] = e;
+            } else {
+              embedding[e] = e;
+            }
+
+            if (ve != INVALID) {
+              embedding[graph.oppositeArc(e)] = embedding[ve];
+              embedding[ve] = graph.oppositeArc(e);
+            } else {
+              embedding[graph.oppositeArc(e)] = graph.oppositeArc(e);
+            }
+          }
+        }
+      }
+    }
+
+    template <typename Graph, typename EmbeddingMap>
+    void makeBiNodeConnected(Graph& graph, EmbeddingMap& embedding) {
+      typename Graph::template ArcMap<bool> processed(graph);
+
+      std::vector<typename Graph::Arc> arcs;
+      for (typename Graph::ArcIt e(graph); e != INVALID; ++e) {
+        arcs.push_back(e);
+      }
+
+      IterableBoolMap<Graph, typename Graph::Node> visited(graph, false);
+
+      for (int i = 0; i < int(arcs.size()); ++i) {
+        typename Graph::Arc pp = arcs[i];
+        if (processed[pp]) continue;
+
+        typename Graph::Arc e = embedding[graph.oppositeArc(pp)];
+        processed[e] = true;
+        visited.set(graph.source(e), true);
+
+        typename Graph::Arc p = e, l = e;
+        e = embedding[graph.oppositeArc(e)];
+
+        while (e != l) {
+          processed[e] = true;
+
+          if (visited[graph.source(e)]) {
+
+            typename Graph::Arc n =
+              graph.direct(graph.addEdge(graph.source(p),
+                                           graph.target(e)), true);
+            embedding[n] = p;
+            embedding[graph.oppositeArc(pp)] = n;
+
+            embedding[graph.oppositeArc(n)] =
+              embedding[graph.oppositeArc(e)];
+            embedding[graph.oppositeArc(e)] =
+              graph.oppositeArc(n);
+
+            p = n;
+            e = embedding[graph.oppositeArc(n)];
+          } else {
+            visited.set(graph.source(e), true);
+            pp = p;
+            p = e;
+            e = embedding[graph.oppositeArc(e)];
+          }
+        }
+        visited.setAll(false);
+      }
+    }
+
+
+    template <typename Graph, typename EmbeddingMap>
+    void makeMaxPlanar(Graph& graph, EmbeddingMap& embedding) {
+
+      typename Graph::template NodeMap<int> degree(graph);
+
+      for (typename Graph::NodeIt n(graph); n != INVALID; ++n) {
+        degree[n] = countIncEdges(graph, n);
+      }
+
+      typename Graph::template ArcMap<bool> processed(graph);
+      IterableBoolMap<Graph, typename Graph::Node> visited(graph, false);
+
+      std::vector<typename Graph::Arc> arcs;
+      for (typename Graph::ArcIt e(graph); e != INVALID; ++e) {
+        arcs.push_back(e);
+      }
+
+      for (int i = 0; i < int(arcs.size()); ++i) {
+        typename Graph::Arc e = arcs[i];
+
+        if (processed[e]) continue;
+        processed[e] = true;
+
+        typename Graph::Arc mine = e;
+        int mind = degree[graph.source(e)];
+
+        int face_size = 1;
+
+        typename Graph::Arc l = e;
+        e = embedding[graph.oppositeArc(e)];
+        while (l != e) {
+          processed[e] = true;
+
+          ++face_size;
+
+          if (degree[graph.source(e)] < mind) {
+            mine = e;
+            mind = degree[graph.source(e)];
+          }
+
+          e = embedding[graph.oppositeArc(e)];
+        }
+
+        if (face_size < 4) {
+          continue;
+        }
+
+        typename Graph::Node s = graph.source(mine);
+        for (typename Graph::OutArcIt e(graph, s); e != INVALID; ++e) {
+          visited.set(graph.target(e), true);
+        }
+
+        typename Graph::Arc oppe = INVALID;
+
+        e = embedding[graph.oppositeArc(mine)];
+        e = embedding[graph.oppositeArc(e)];
+        while (graph.target(e) != s) {
+          if (visited[graph.source(e)]) {
+            oppe = e;
+            break;
+          }
+          e = embedding[graph.oppositeArc(e)];
+        }
+        visited.setAll(false);
+
+        if (oppe == INVALID) {
+
+          e = embedding[graph.oppositeArc(mine)];
+          typename Graph::Arc pn = mine, p = e;
+
+          e = embedding[graph.oppositeArc(e)];
+          while (graph.target(e) != s) {
+            typename Graph::Arc n =
+              graph.direct(graph.addEdge(s, graph.source(e)), true);
+
+            embedding[n] = pn;
+            embedding[graph.oppositeArc(n)] = e;
+            embedding[graph.oppositeArc(p)] = graph.oppositeArc(n);
+
+            pn = n;
+
+            p = e;
+            e = embedding[graph.oppositeArc(e)];
+          }
+
+          embedding[graph.oppositeArc(e)] = pn;
+
+        } else {
+
+          mine = embedding[graph.oppositeArc(mine)];
+          s = graph.source(mine);
+          oppe = embedding[graph.oppositeArc(oppe)];
+          typename Graph::Node t = graph.source(oppe);
+
+          typename Graph::Arc ce = graph.direct(graph.addEdge(s, t), true);
+          embedding[ce] = mine;
+          embedding[graph.oppositeArc(ce)] = oppe;
+
+          typename Graph::Arc pn = ce, p = oppe;
+          e = embedding[graph.oppositeArc(oppe)];
+          while (graph.target(e) != s) {
+            typename Graph::Arc n =
+              graph.direct(graph.addEdge(s, graph.source(e)), true);
+
+            embedding[n] = pn;
+            embedding[graph.oppositeArc(n)] = e;
+            embedding[graph.oppositeArc(p)] = graph.oppositeArc(n);
+
+            pn = n;
+
+            p = e;
+            e = embedding[graph.oppositeArc(e)];
+
+          }
+          embedding[graph.oppositeArc(e)] = pn;
+
+          pn = graph.oppositeArc(ce), p = mine;
+          e = embedding[graph.oppositeArc(mine)];
+          while (graph.target(e) != t) {
+            typename Graph::Arc n =
+              graph.direct(graph.addEdge(t, graph.source(e)), true);
+
+            embedding[n] = pn;
+            embedding[graph.oppositeArc(n)] = e;
+            embedding[graph.oppositeArc(p)] = graph.oppositeArc(n);
+
+            pn = n;
+
+            p = e;
+            e = embedding[graph.oppositeArc(e)];
+
+          }
+          embedding[graph.oppositeArc(e)] = pn;
+        }
+      }
+    }
+
+  }
+
+  /// \ingroup planar
+  ///
+  /// \brief Schnyder's planar drawing algorithm
+  ///
+  /// The planar drawing algorithm calculates positions for the nodes
+  /// in the plane which coordinates satisfy that if the arcs are
+  /// represented with straight lines then they will not intersect
+  /// each other.
+  ///
+  /// Scnyder's algorithm embeds the graph on \c (n-2,n-2) size grid,
+  /// i.e. each node will be located in the \c [0,n-2]x[0,n-2] square.
+  /// The time complexity of the algorithm is O(n).
+  template <typename Graph>
+  class PlanarDrawing {
+  public:
+
+    TEMPLATE_GRAPH_TYPEDEFS(Graph);
+
+    /// \brief The point type for store coordinates
+    typedef dim2::Point<int> Point;
+    /// \brief The map type for store coordinates
+    typedef typename Graph::template NodeMap<Point> PointMap;
+
+
+    /// \brief Constructor
+    ///
+    /// Constructor
+    /// \pre The graph should be simple, i.e. loop and parallel arc free.
+    PlanarDrawing(const Graph& graph)
+      : _graph(graph), _point_map(graph) {}
+
+  private:
+
+    template <typename AuxGraph, typename AuxEmbeddingMap>
+    void drawing(const AuxGraph& graph,
+                 const AuxEmbeddingMap& next,
+                 PointMap& point_map) {
+      TEMPLATE_GRAPH_TYPEDEFS(AuxGraph);
+
+      typename AuxGraph::template ArcMap<Arc> prev(graph);
+
+      for (NodeIt n(graph); n != INVALID; ++n) {
+        Arc e = OutArcIt(graph, n);
+
+        Arc p = e, l = e;
+
+        e = next[e];
+        while (e != l) {
+          prev[e] = p;
+          p = e;
+          e = next[e];
+        }
+        prev[e] = p;
+      }
+
+      Node anode, bnode, cnode;
+
+      {
+        Arc e = ArcIt(graph);
+        anode = graph.source(e);
+        bnode = graph.target(e);
+        cnode = graph.target(next[graph.oppositeArc(e)]);
+      }
+
+      IterableBoolMap<AuxGraph, Node> proper(graph, false);
+      typename AuxGraph::template NodeMap<int> conn(graph, -1);
+
+      conn[anode] = conn[bnode] = -2;
+      {
+        for (OutArcIt e(graph, anode); e != INVALID; ++e) {
+          Node m = graph.target(e);
+          if (conn[m] == -1) {
+            conn[m] = 1;
+          }
+        }
+        conn[cnode] = 2;
+
+        for (OutArcIt e(graph, bnode); e != INVALID; ++e) {
+          Node m = graph.target(e);
+          if (conn[m] == -1) {
+            conn[m] = 1;
+          } else if (conn[m] != -2) {
+            conn[m] += 1;
+            Arc pe = graph.oppositeArc(e);
+            if (conn[graph.target(next[pe])] == -2) {
+              conn[m] -= 1;
+            }
+            if (conn[graph.target(prev[pe])] == -2) {
+              conn[m] -= 1;
+            }
+
+            proper.set(m, conn[m] == 1);
+          }
+        }
+      }
+
+
+      typename AuxGraph::template ArcMap<int> angle(graph, -1);
+
+      while (proper.trueNum() != 0) {
+        Node n = typename IterableBoolMap<AuxGraph, Node>::TrueIt(proper);
+        proper.set(n, false);
+        conn[n] = -2;
+
+        for (OutArcIt e(graph, n); e != INVALID; ++e) {
+          Node m = graph.target(e);
+          if (conn[m] == -1) {
+            conn[m] = 1;
+          } else if (conn[m] != -2) {
+            conn[m] += 1;
+            Arc pe = graph.oppositeArc(e);
+            if (conn[graph.target(next[pe])] == -2) {
+              conn[m] -= 1;
+            }
+            if (conn[graph.target(prev[pe])] == -2) {
+              conn[m] -= 1;
+            }
+
+            proper.set(m, conn[m] == 1);
+          }
+        }
+
+        {
+          Arc e = OutArcIt(graph, n);
+          Arc p = e, l = e;
+
+          e = next[e];
+          while (e != l) {
+
+            if (conn[graph.target(e)] == -2 && conn[graph.target(p)] == -2) {
+              Arc f = e;
+              angle[f] = 0;
+              f = next[graph.oppositeArc(f)];
+              angle[f] = 1;
+              f = next[graph.oppositeArc(f)];
+              angle[f] = 2;
+            }
+
+            p = e;
+            e = next[e];
+          }
+
+          if (conn[graph.target(e)] == -2 && conn[graph.target(p)] == -2) {
+            Arc f = e;
+            angle[f] = 0;
+            f = next[graph.oppositeArc(f)];
+            angle[f] = 1;
+            f = next[graph.oppositeArc(f)];
+            angle[f] = 2;
+          }
+        }
+      }
+
+      typename AuxGraph::template NodeMap<Node> apred(graph, INVALID);
+      typename AuxGraph::template NodeMap<Node> bpred(graph, INVALID);
+      typename AuxGraph::template NodeMap<Node> cpred(graph, INVALID);
+
+      typename AuxGraph::template NodeMap<int> apredid(graph, -1);
+      typename AuxGraph::template NodeMap<int> bpredid(graph, -1);
+      typename AuxGraph::template NodeMap<int> cpredid(graph, -1);
+
+      for (ArcIt e(graph); e != INVALID; ++e) {
+        if (angle[e] == angle[next[e]]) {
+          switch (angle[e]) {
+          case 2:
+            apred[graph.target(e)] = graph.source(e);
+            apredid[graph.target(e)] = graph.id(graph.source(e));
+            break;
+          case 1:
+            bpred[graph.target(e)] = graph.source(e);
+            bpredid[graph.target(e)] = graph.id(graph.source(e));
+            break;
+          case 0:
+            cpred[graph.target(e)] = graph.source(e);
+            cpredid[graph.target(e)] = graph.id(graph.source(e));
+            break;
+          }
+        }
+      }
+
+      cpred[anode] = INVALID;
+      cpred[bnode] = INVALID;
+
+      std::vector<Node> aorder, border, corder;
+
+      {
+        typename AuxGraph::template NodeMap<bool> processed(graph, false);
+        std::vector<Node> st;
+        for (NodeIt n(graph); n != INVALID; ++n) {
+          if (!processed[n] && n != bnode && n != cnode) {
+            st.push_back(n);
+            processed[n] = true;
+            Node m = apred[n];
+            while (m != INVALID && !processed[m]) {
+              st.push_back(m);
+              processed[m] = true;
+              m = apred[m];
+            }
+            while (!st.empty()) {
+              aorder.push_back(st.back());
+              st.pop_back();
+            }
+          }
+        }
+      }
+
+      {
+        typename AuxGraph::template NodeMap<bool> processed(graph, false);
+        std::vector<Node> st;
+        for (NodeIt n(graph); n != INVALID; ++n) {
+          if (!processed[n] && n != cnode && n != anode) {
+            st.push_back(n);
+            processed[n] = true;
+            Node m = bpred[n];
+            while (m != INVALID && !processed[m]) {
+              st.push_back(m);
+              processed[m] = true;
+              m = bpred[m];
+            }
+            while (!st.empty()) {
+              border.push_back(st.back());
+              st.pop_back();
+            }
+          }
+        }
+      }
+
+      {
+        typename AuxGraph::template NodeMap<bool> processed(graph, false);
+        std::vector<Node> st;
+        for (NodeIt n(graph); n != INVALID; ++n) {
+          if (!processed[n] && n != anode && n != bnode) {
+            st.push_back(n);
+            processed[n] = true;
+            Node m = cpred[n];
+            while (m != INVALID && !processed[m]) {
+              st.push_back(m);
+              processed[m] = true;
+              m = cpred[m];
+            }
+            while (!st.empty()) {
+              corder.push_back(st.back());
+              st.pop_back();
+            }
+          }
+        }
+      }
+
+      typename AuxGraph::template NodeMap<int> atree(graph, 0);
+      for (int i = aorder.size() - 1; i >= 0; --i) {
+        Node n = aorder[i];
+        atree[n] = 1;
+        for (OutArcIt e(graph, n); e != INVALID; ++e) {
+          if (apred[graph.target(e)] == n) {
+            atree[n] += atree[graph.target(e)];
+          }
+        }
+      }
+
+      typename AuxGraph::template NodeMap<int> btree(graph, 0);
+      for (int i = border.size() - 1; i >= 0; --i) {
+        Node n = border[i];
+        btree[n] = 1;
+        for (OutArcIt e(graph, n); e != INVALID; ++e) {
+          if (bpred[graph.target(e)] == n) {
+            btree[n] += btree[graph.target(e)];
+          }
+        }
+      }
+
+      typename AuxGraph::template NodeMap<int> apath(graph, 0);
+      apath[bnode] = apath[cnode] = 1;
+      typename AuxGraph::template NodeMap<int> apath_btree(graph, 0);
+      apath_btree[bnode] = btree[bnode];
+      for (int i = 1; i < int(aorder.size()); ++i) {
+        Node n = aorder[i];
+        apath[n] = apath[apred[n]] + 1;
+        apath_btree[n] = btree[n] + apath_btree[apred[n]];
+      }
+
+      typename AuxGraph::template NodeMap<int> bpath_atree(graph, 0);
+      bpath_atree[anode] = atree[anode];
+      for (int i = 1; i < int(border.size()); ++i) {
+        Node n = border[i];
+        bpath_atree[n] = atree[n] + bpath_atree[bpred[n]];
+      }
+
+      typename AuxGraph::template NodeMap<int> cpath(graph, 0);
+      cpath[anode] = cpath[bnode] = 1;
+      typename AuxGraph::template NodeMap<int> cpath_atree(graph, 0);
+      cpath_atree[anode] = atree[anode];
+      typename AuxGraph::template NodeMap<int> cpath_btree(graph, 0);
+      cpath_btree[bnode] = btree[bnode];
+      for (int i = 1; i < int(corder.size()); ++i) {
+        Node n = corder[i];
+        cpath[n] = cpath[cpred[n]] + 1;
+        cpath_atree[n] = atree[n] + cpath_atree[cpred[n]];
+        cpath_btree[n] = btree[n] + cpath_btree[cpred[n]];
+      }
+
+      typename AuxGraph::template NodeMap<int> third(graph);
+      for (NodeIt n(graph); n != INVALID; ++n) {
+        point_map[n].x =
+          bpath_atree[n] + cpath_atree[n] - atree[n] - cpath[n] + 1;
+        point_map[n].y =
+          cpath_btree[n] + apath_btree[n] - btree[n] - apath[n] + 1;
+      }
+
+    }
+
+  public:
+
+    /// \brief Calculates the node positions
+    ///
+    /// This function calculates the node positions.
+    /// \return %True if the graph is planar.
+    bool run() {
+      PlanarEmbedding<Graph> pe(_graph);
+      if (!pe.run()) return false;
+
+      run(pe);
+      return true;
+    }
+
+    /// \brief Calculates the node positions according to a
+    /// combinatorical embedding
+    ///
+    /// This function calculates the node locations. The \c embedding
+    /// parameter should contain a valid combinatorical embedding, i.e.
+    /// a valid cyclic order of the arcs.
+    template <typename EmbeddingMap>
+    void run(const EmbeddingMap& embedding) {
+      typedef SmartEdgeSet<Graph> AuxGraph;
+
+      if (3 * countNodes(_graph) - 6 == countEdges(_graph)) {
+        drawing(_graph, embedding, _point_map);
+        return;
+      }
+
+      AuxGraph aux_graph(_graph);
+      typename AuxGraph::template ArcMap<typename AuxGraph::Arc>
+        aux_embedding(aux_graph);
+
+      {
+
+        typename Graph::template EdgeMap<typename AuxGraph::Edge>
+          ref(_graph);
+
+        for (EdgeIt e(_graph); e != INVALID; ++e) {
+          ref[e] = aux_graph.addEdge(_graph.u(e), _graph.v(e));
+        }
+
+        for (EdgeIt e(_graph); e != INVALID; ++e) {
+          Arc ee = embedding[_graph.direct(e, true)];
+          aux_embedding[aux_graph.direct(ref[e], true)] =
+            aux_graph.direct(ref[ee], _graph.direction(ee));
+          ee = embedding[_graph.direct(e, false)];
+          aux_embedding[aux_graph.direct(ref[e], false)] =
+            aux_graph.direct(ref[ee], _graph.direction(ee));
+        }
+      }
+      _planarity_bits::makeConnected(aux_graph, aux_embedding);
+      _planarity_bits::makeBiNodeConnected(aux_graph, aux_embedding);
+      _planarity_bits::makeMaxPlanar(aux_graph, aux_embedding);
+      drawing(aux_graph, aux_embedding, _point_map);
+    }
+
+    /// \brief The coordinate of the given node
+    ///
+    /// The coordinate of the given node.
+    Point operator[](const Node& node) const {
+      return _point_map[node];
+    }
+
+    /// \brief Returns the grid embedding in a \e NodeMap.
+    ///
+    /// Returns the grid embedding in a \e NodeMap of \c dim2::Point<int> .
+    const PointMap& coords() const {
+      return _point_map;
+    }
+
+  private:
+
+    const Graph& _graph;
+    PointMap _point_map;
+
+  };
+
+  namespace _planarity_bits {
+
+    template <typename ColorMap>
+    class KempeFilter {
+    public:
+      typedef typename ColorMap::Key Key;
+      typedef bool Value;
+
+      KempeFilter(const ColorMap& color_map,
+                  const typename ColorMap::Value& first,
+                  const typename ColorMap::Value& second)
+        : _color_map(color_map), _first(first), _second(second) {}
+
+      Value operator[](const Key& key) const {
+        return _color_map[key] == _first || _color_map[key] == _second;
+      }
+
+    private:
+      const ColorMap& _color_map;
+      typename ColorMap::Value _first, _second;
+    };
+  }
+
+  /// \ingroup planar
+  ///
+  /// \brief Coloring planar graphs
+  ///
+  /// The graph coloring problem is the coloring of the graph nodes
+  /// that there are not adjacent nodes with the same color. The
+  /// planar graphs can be always colored with four colors, it is
+  /// proved by Appel and Haken and their proofs provide a quadratic
+  /// time algorithm for four coloring, but it could not be used to
+  /// implement efficient algorithm. The five and six coloring can be
+  /// made in linear time, but in this class the five coloring has
+  /// quadratic worst case time complexity. The two coloring (if
+  /// possible) is solvable with a graph search algorithm and it is
+  /// implemented in \ref bipartitePartitions() function in LEMON. To
+  /// decide whether the planar graph is three colorable is
+  /// NP-complete.
+  ///
+  /// This class contains member functions for calculate colorings
+  /// with five and six colors. The six coloring algorithm is a simple
+  /// greedy coloring on the backward minimum outgoing order of nodes.
+  /// This order can be computed as in each phase the node with least
+  /// outgoing arcs to unprocessed nodes is chosen. This order
+  /// guarantees that when a node is chosen for coloring it has at
+  /// most five already colored adjacents. The five coloring algorithm
+  /// use the same method, but if the greedy approach fails to color
+  /// with five colors, i.e. the node has five already different
+  /// colored neighbours, it swaps the colors in one of the connected
+  /// two colored sets with the Kempe recoloring method.
+  template <typename Graph>
+  class PlanarColoring {
+  public:
+
+    TEMPLATE_GRAPH_TYPEDEFS(Graph);
+
+    /// \brief The map type for store color indexes
+    typedef typename Graph::template NodeMap<int> IndexMap;
+    /// \brief The map type for store colors
+    typedef ComposeMap<Palette, IndexMap> ColorMap;
+
+    /// \brief Constructor
+    ///
+    /// Constructor
+    /// \pre The graph should be simple, i.e. loop and parallel arc free.
+    PlanarColoring(const Graph& graph)
+      : _graph(graph), _color_map(graph), _palette(0) {
+      _palette.add(Color(1,0,0));
+      _palette.add(Color(0,1,0));
+      _palette.add(Color(0,0,1));
+      _palette.add(Color(1,1,0));
+      _palette.add(Color(1,0,1));
+      _palette.add(Color(0,1,1));
+    }
+
+    /// \brief Returns the \e NodeMap of color indexes
+    ///
+    /// Returns the \e NodeMap of color indexes. The values are in the
+    /// range \c [0..4] or \c [0..5] according to the coloring method.
+    IndexMap colorIndexMap() const {
+      return _color_map;
+    }
+
+    /// \brief Returns the \e NodeMap of colors
+    ///
+    /// Returns the \e NodeMap of colors. The values are five or six
+    /// distinct \ref lemon::Color "colors".
+    ColorMap colorMap() const {
+      return composeMap(_palette, _color_map);
+    }
+
+    /// \brief Returns the color index of the node
+    ///
+    /// Returns the color index of the node. The values are in the
+    /// range \c [0..4] or \c [0..5] according to the coloring method.
+    int colorIndex(const Node& node) const {
+      return _color_map[node];
+    }
+
+    /// \brief Returns the color of the node
+    ///
+    /// Returns the color of the node. The values are five or six
+    /// distinct \ref lemon::Color "colors".
+    Color color(const Node& node) const {
+      return _palette[_color_map[node]];
+    }
+
+
+    /// \brief Calculates a coloring with at most six colors
+    ///
+    /// This function calculates a coloring with at most six colors. The time
+    /// complexity of this variant is linear in the size of the graph.
+    /// \return %True when the algorithm could color the graph with six color.
+    /// If the algorithm fails, then the graph could not be planar.
+    /// \note This function can return true if the graph is not
+    /// planar but it can be colored with 6 colors.
+    bool runSixColoring() {
+
+      typename Graph::template NodeMap<int> heap_index(_graph, -1);
+      BucketHeap<typename Graph::template NodeMap<int> > heap(heap_index);
+
+      for (NodeIt n(_graph); n != INVALID; ++n) {
+        _color_map[n] = -2;
+        heap.push(n, countOutArcs(_graph, n));
+      }
+
+      std::vector<Node> order;
+
+      while (!heap.empty()) {
+        Node n = heap.top();
+        heap.pop();
+        _color_map[n] = -1;
+        order.push_back(n);
+        for (OutArcIt e(_graph, n); e != INVALID; ++e) {
+          Node t = _graph.runningNode(e);
+          if (_color_map[t] == -2) {
+            heap.decrease(t, heap[t] - 1);
+          }
+        }
+      }
+
+      for (int i = order.size() - 1; i >= 0; --i) {
+        std::vector<bool> forbidden(6, false);
+        for (OutArcIt e(_graph, order[i]); e != INVALID; ++e) {
+          Node t = _graph.runningNode(e);
+          if (_color_map[t] != -1) {
+            forbidden[_color_map[t]] = true;
+          }
+        }
+               for (int k = 0; k < 6; ++k) {
+          if (!forbidden[k]) {
+            _color_map[order[i]] = k;
+            break;
+          }
+        }
+        if (_color_map[order[i]] == -1) {
+          return false;
+        }
+      }
+      return true;
+    }
+
+  private:
+
+    bool recolor(const Node& u, const Node& v) {
+      int ucolor = _color_map[u];
+      int vcolor = _color_map[v];
+      typedef _planarity_bits::KempeFilter<IndexMap> KempeFilter;
+      KempeFilter filter(_color_map, ucolor, vcolor);
+
+      typedef FilterNodes<const Graph, const KempeFilter> KempeGraph;
+      KempeGraph kempe_graph(_graph, filter);
+
+      std::vector<Node> comp;
+      Bfs<KempeGraph> bfs(kempe_graph);
+      bfs.init();
+      bfs.addSource(u);
+      while (!bfs.emptyQueue()) {
+        Node n = bfs.nextNode();
+        if (n == v) return false;
+        comp.push_back(n);
+        bfs.processNextNode();
+      }
+
+      int scolor = ucolor + vcolor;
+      for (int i = 0; i < static_cast<int>(comp.size()); ++i) {
+        _color_map[comp[i]] = scolor - _color_map[comp[i]];
+      }
+
+      return true;
+    }
+
+    template <typename EmbeddingMap>
+    void kempeRecoloring(const Node& node, const EmbeddingMap& embedding) {
+      std::vector<Node> nodes;
+      nodes.reserve(4);
+
+      for (Arc e = OutArcIt(_graph, node); e != INVALID; e = embedding[e]) {
+        Node t = _graph.target(e);
+        if (_color_map[t] != -1) {
+          nodes.push_back(t);
+          if (nodes.size() == 4) break;
+        }
+      }
+
+      int color = _color_map[nodes[0]];
+      if (recolor(nodes[0], nodes[2])) {
+        _color_map[node] = color;
+      } else {
+        color = _color_map[nodes[1]];
+        recolor(nodes[1], nodes[3]);
+        _color_map[node] = color;
+      }
+    }
+
+  public:
+
+    /// \brief Calculates a coloring with at most five colors
+    ///
+    /// This function calculates a coloring with at most five
+    /// colors. The worst case time complexity of this variant is
+    /// quadratic in the size of the graph.
+    template <typename EmbeddingMap>
+    void runFiveColoring(const EmbeddingMap& embedding) {
+
+      typename Graph::template NodeMap<int> heap_index(_graph, -1);
+      BucketHeap<typename Graph::template NodeMap<int> > heap(heap_index);
+
+      for (NodeIt n(_graph); n != INVALID; ++n) {
+        _color_map[n] = -2;
+        heap.push(n, countOutArcs(_graph, n));
+      }
+
+      std::vector<Node> order;
+
+      while (!heap.empty()) {
+        Node n = heap.top();
+        heap.pop();
+        _color_map[n] = -1;
+        order.push_back(n);
+        for (OutArcIt e(_graph, n); e != INVALID; ++e) {
+          Node t = _graph.runningNode(e);
+          if (_color_map[t] == -2) {
+            heap.decrease(t, heap[t] - 1);
+          }
+        }
+      }
+
+      for (int i = order.size() - 1; i >= 0; --i) {
+        std::vector<bool> forbidden(5, false);
+        for (OutArcIt e(_graph, order[i]); e != INVALID; ++e) {
+          Node t = _graph.runningNode(e);
+          if (_color_map[t] != -1) {
+            forbidden[_color_map[t]] = true;
+          }
+        }
+        for (int k = 0; k < 5; ++k) {
+          if (!forbidden[k]) {
+            _color_map[order[i]] = k;
+            break;
+          }
+        }
+        if (_color_map[order[i]] == -1) {
+          kempeRecoloring(order[i], embedding);
+        }
+      }
+    }
+
+    /// \brief Calculates a coloring with at most five colors
+    ///
+    /// This function calculates a coloring with at most five
+    /// colors. The worst case time complexity of this variant is
+    /// quadratic in the size of the graph.
+    /// \return %True when the graph is planar.
+    bool runFiveColoring() {
+      PlanarEmbedding<Graph> pe(_graph);
+      if (!pe.run()) return false;
+
+      runFiveColoring(pe.embeddingMap());
+      return true;
+    }
+
+  private:
+
+    const Graph& _graph;
+    IndexMap _color_map;
+    Palette _palette;
+  };
+
+}
+
+#endif
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/preflow.h
--- a/lemon/preflow.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/preflow.h	Thu Dec 10 17:18:25 2009 +0100
@@ -52,7 +52,11 @@
     ///
     /// The type of the map that stores the flow values.
     /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
+#ifdef DOXYGEN
+    typedef GR::ArcMap<Value> FlowMap;
+#else
     typedef typename Digraph::template ArcMap<Value> FlowMap;
+#endif
 
     /// \brief Instantiates a FlowMap.
     ///
@@ -67,9 +71,12 @@
     ///
     /// The elevator type used by Preflow algorithm.
     ///
-    /// \sa Elevator
-    /// \sa LinkedElevator
-    typedef LinkedElevator<Digraph, typename Digraph::Node> Elevator;
+    /// \sa Elevator, LinkedElevator
+#ifdef DOXYGEN
+    typedef lemon::Elevator<GR, GR::Node> Elevator;
+#else
+    typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator;
+#endif
 
     /// \brief Instantiates an Elevator.
     ///
@@ -95,9 +102,10 @@
   ///
   /// This class provides an implementation of Goldberg-Tarjan's \e preflow
   /// \e push-relabel algorithm producing a \ref max_flow
-  /// "flow of maximum value" in a digraph.
+  /// "flow of maximum value" in a digraph \ref clrs01algorithms,
+  /// \ref amo93networkflows, \ref goldberg88newapproach.
   /// The preflow algorithms are the fastest known maximum
-  /// flow algorithms. The current implementation use a mixture of the
+  /// flow algorithms. The current implementation uses a mixture of the
   /// \e "highest label" and the \e "bound decrease" heuristics.
   /// The worst case time complexity of the algorithm is \f$O(n^2\sqrt{e})\f$.
   ///
@@ -257,7 +265,7 @@
     /// The Elevator should have standard constructor interface to be
     /// able to automatically created by the algorithm (i.e. the
     /// digraph and the maximum level should be passed to it).
-    /// However an external elevator object could also be passed to the
+    /// However, an external elevator object could also be passed to the
     /// algorithm with the \ref elevator(Elevator&) "elevator()" function
     /// before calling \ref run() or \ref init().
     /// \sa SetElevator
@@ -371,26 +379,28 @@
       return *_level;
     }
 
-    /// \brief Sets the tolerance used by algorithm.
+    /// \brief Sets the tolerance used by the algorithm.
     ///
-    /// Sets the tolerance used by algorithm.
-    Preflow& tolerance(const Tolerance& tolerance) const {
+    /// Sets the tolerance object used by the algorithm.
+    /// \return <tt>(*this)</tt>
+    Preflow& tolerance(const Tolerance& tolerance) {
       _tolerance = tolerance;
       return *this;
     }
 
     /// \brief Returns a const reference to the tolerance.
     ///
-    /// Returns a const reference to the tolerance.
+    /// Returns a const reference to the tolerance object used by
+    /// the algorithm.
     const Tolerance& tolerance() const {
-      return tolerance;
+      return _tolerance;
     }
 
     /// \name Execution Control
     /// The simplest way to execute the preflow algorithm is to use
     /// \ref run() or \ref runMinCut().\n
-    /// If you need more control on the initial solution or the execution,
-    /// first you have to call one of the \ref init() functions, then
+    /// If you need better control on the initial solution or the execution,
+    /// you have to call one of the \ref init() functions first, then
     /// \ref startFirstPhase() and if you need it \ref startSecondPhase().
 
     ///@{
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/radix_heap.h
--- a/lemon/radix_heap.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/radix_heap.h	Thu Dec 10 17:18:25 2009 +0100
@@ -19,9 +19,9 @@
 #ifndef LEMON_RADIX_HEAP_H
 #define LEMON_RADIX_HEAP_H
 
-///\ingroup auxdat
+///\ingroup heaps
 ///\file
-///\brief Radix Heap implementation.
+///\brief Radix heap implementation.
 
 #include <vector>
 #include <lemon/error.h>
@@ -29,56 +29,54 @@
 namespace lemon {
 
 
-  /// \ingroup auxdata
+  /// \ingroup heaps
   ///
-  /// \brief A Radix Heap implementation.
+  /// \brief Radix heap data structure.
   ///
-  /// This class implements the \e radix \e heap data structure. A \e heap
-  /// is a data structure for storing items with specified values called \e
-  /// priorities in such a way that finding the item with minimum priority is
-  /// efficient. This heap type can store only items with \e int priority.
-  /// In a heap one can change the priority of an item, add or erase an
-  /// item, but the priority cannot be decreased under the last removed
-  /// item's priority.
+  /// This class implements the \e radix \e heap data structure.
+  /// It practically conforms to the \ref concepts::Heap "heap concept",
+  /// but it has some limitations due its special implementation.
+  /// The type of the priorities must be \c int and the priority of an
+  /// item cannot be decreased under the priority of the last removed item.
   ///
-  /// \param IM A read and writable Item int map, used internally
-  /// to handle the cross references.
-  ///
-  /// \see BinHeap
-  /// \see Dijkstra
+  /// \tparam IM A read-writable item map with \c int values, used
+  /// internally to handle the cross references.
   template <typename IM>
   class RadixHeap {
 
   public:
-    typedef typename IM::Key Item;
+
+    /// Type of the item-int map.
+    typedef IM ItemIntMap;
+    /// Type of the priorities.
     typedef int Prio;
-    typedef IM ItemIntMap;
+    /// Type of the items stored in the heap.
+    typedef typename ItemIntMap::Key Item;
 
     /// \brief Exception thrown by RadixHeap.
     ///
-    /// This Exception is thrown when a smaller priority
-    /// is inserted into the \e RadixHeap then the last time erased.
+    /// This exception is thrown when an item is inserted into a
+    /// RadixHeap with a priority smaller than the last erased one.
     /// \see RadixHeap
-
-    class UnderFlowPriorityError : public Exception {
+    class PriorityUnderflowError : public Exception {
     public:
       virtual const char* what() const throw() {
-        return "lemon::RadixHeap::UnderFlowPriorityError";
+        return "lemon::RadixHeap::PriorityUnderflowError";
       }
     };
 
-    /// \brief Type to represent the items states.
+    /// \brief Type to represent the states of the items.
     ///
-    /// Each Item element have a state associated to it. It may be "in heap",
-    /// "pre heap" or "post heap". The latter two are indifferent from the
+    /// Each item has a state associated to it. It can be "in heap",
+    /// "pre-heap" or "post-heap". The latter two are indifferent from the
     /// heap's point of view, but may be useful to the user.
     ///
-    /// The ItemIntMap \e should be initialized in such way that it maps
-    /// PRE_HEAP (-1) to any element to be put in the heap...
+    /// The item-int map must be initialized in such way that it assigns
+    /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
     enum State {
-      IN_HEAP = 0,
-      PRE_HEAP = -1,
-      POST_HEAP = -2
+      IN_HEAP = 0,    ///< = 0.
+      PRE_HEAP = -1,  ///< = -1.
+      POST_HEAP = -2  ///< = -2.
     };
 
   private:
@@ -96,52 +94,55 @@
       RadixBox(int _min, int _size) : first(-1), min(_min), size(_size) {}
     };
 
-    std::vector<RadixItem> data;
-    std::vector<RadixBox> boxes;
+    std::vector<RadixItem> _data;
+    std::vector<RadixBox> _boxes;
 
     ItemIntMap &_iim;
 
+  public:
 
-  public:
-    /// \brief The constructor.
+    /// \brief Constructor.
     ///
-    /// The constructor.
-    ///
-    /// \param map It should be given to the constructor, since it is used
-    /// internally to handle the cross references. The value of the map
-    /// should be PRE_HEAP (-1) for each element.
-    ///
-    /// \param minimal The initial minimal value of the heap.
-    /// \param capacity It determines the initial capacity of the heap.
-    RadixHeap(ItemIntMap &map, int minimal = 0, int capacity = 0)
-      : _iim(map) {
-      boxes.push_back(RadixBox(minimal, 1));
-      boxes.push_back(RadixBox(minimal + 1, 1));
-      while (lower(boxes.size() - 1, capacity + minimal - 1)) {
+    /// Constructor.
+    /// \param map A map that assigns \c int values to the items.
+    /// It is used internally to handle the cross references.
+    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
+    /// \param minimum The initial minimum value of the heap.
+    /// \param capacity The initial capacity of the heap.
+    RadixHeap(ItemIntMap &map, int minimum = 0, int capacity = 0)
+      : _iim(map)
+    {
+      _boxes.push_back(RadixBox(minimum, 1));
+      _boxes.push_back(RadixBox(minimum + 1, 1));
+      while (lower(_boxes.size() - 1, capacity + minimum - 1)) {
         extend();
       }
     }
 
-    /// The number of items stored in the heap.
+    /// \brief The number of items stored in the heap.
     ///
-    /// \brief Returns the number of items stored in the heap.
-    int size() const { return data.size(); }
-    /// \brief Checks if the heap stores no items.
+    /// This function returns the number of items stored in the heap.
+    int size() const { return _data.size(); }
+
+    /// \brief Check if the heap is empty.
     ///
-    /// Returns \c true if and only if the heap stores no items.
-    bool empty() const { return data.empty(); }
+    /// This function returns \c true if the heap is empty.
+    bool empty() const { return _data.empty(); }
 
-    /// \brief Make empty this heap.
+    /// \brief Make the heap empty.
     ///
-    /// Make empty this heap. It does not change the cross reference
-    /// map.  If you want to reuse a heap what is not surely empty you
-    /// should first clear the heap and after that you should set the
-    /// cross reference map for each item to \c PRE_HEAP.
-    void clear(int minimal = 0, int capacity = 0) {
-      data.clear(); boxes.clear();
-      boxes.push_back(RadixBox(minimal, 1));
-      boxes.push_back(RadixBox(minimal + 1, 1));
-      while (lower(boxes.size() - 1, capacity + minimal - 1)) {
+    /// This functon makes the heap empty.
+    /// It does not change the cross reference map. If you want to reuse
+    /// a heap that is not surely empty, you should first clear it and
+    /// then you should set the cross reference map to \c PRE_HEAP
+    /// for each item.
+    /// \param minimum The minimum value of the heap.
+    /// \param capacity The capacity of the heap.
+    void clear(int minimum = 0, int capacity = 0) {
+      _data.clear(); _boxes.clear();
+      _boxes.push_back(RadixBox(minimum, 1));
+      _boxes.push_back(RadixBox(minimum + 1, 1));
+      while (lower(_boxes.size() - 1, capacity + minimum - 1)) {
         extend();
       }
     }
@@ -149,255 +150,259 @@
   private:
 
     bool upper(int box, Prio pr) {
-      return pr < boxes[box].min;
+      return pr < _boxes[box].min;
     }
 
     bool lower(int box, Prio pr) {
-      return pr >= boxes[box].min + boxes[box].size;
+      return pr >= _boxes[box].min + _boxes[box].size;
     }
 
-    /// \brief Remove item from the box list.
+    // Remove item from the box list
     void remove(int index) {
-      if (data[index].prev >= 0) {
-        data[data[index].prev].next = data[index].next;
+      if (_data[index].prev >= 0) {
+        _data[_data[index].prev].next = _data[index].next;
       } else {
-        boxes[data[index].box].first = data[index].next;
+        _boxes[_data[index].box].first = _data[index].next;
       }
-      if (data[index].next >= 0) {
-        data[data[index].next].prev = data[index].prev;
+      if (_data[index].next >= 0) {
+        _data[_data[index].next].prev = _data[index].prev;
       }
     }
 
-    /// \brief Insert item into the box list.
+    // Insert item into the box list
     void insert(int box, int index) {
-      if (boxes[box].first == -1) {
-        boxes[box].first = index;
-        data[index].next = data[index].prev = -1;
+      if (_boxes[box].first == -1) {
+        _boxes[box].first = index;
+        _data[index].next = _data[index].prev = -1;
       } else {
-        data[index].next = boxes[box].first;
-        data[boxes[box].first].prev = index;
-        data[index].prev = -1;
-        boxes[box].first = index;
+        _data[index].next = _boxes[box].first;
+        _data[_boxes[box].first].prev = index;
+        _data[index].prev = -1;
+        _boxes[box].first = index;
       }
-      data[index].box = box;
+      _data[index].box = box;
     }
 
-    /// \brief Add a new box to the box list.
+    // Add a new box to the box list
     void extend() {
-      int min = boxes.back().min + boxes.back().size;
-      int bs = 2 * boxes.back().size;
-      boxes.push_back(RadixBox(min, bs));
+      int min = _boxes.back().min + _boxes.back().size;
+      int bs = 2 * _boxes.back().size;
+      _boxes.push_back(RadixBox(min, bs));
     }
 
-    /// \brief Move an item up into the proper box.
-    void bubble_up(int index) {
-      if (!lower(data[index].box, data[index].prio)) return;
+    // Move an item up into the proper box.
+    void bubbleUp(int index) {
+      if (!lower(_data[index].box, _data[index].prio)) return;
       remove(index);
-      int box = findUp(data[index].box, data[index].prio);
+      int box = findUp(_data[index].box, _data[index].prio);
       insert(box, index);
     }
 
-    /// \brief Find up the proper box for the item with the given prio.
+    // Find up the proper box for the item with the given priority
     int findUp(int start, int pr) {
       while (lower(start, pr)) {
-        if (++start == int(boxes.size())) {
+        if (++start == int(_boxes.size())) {
           extend();
         }
       }
       return start;
     }
 
-    /// \brief Move an item down into the proper box.
-    void bubble_down(int index) {
-      if (!upper(data[index].box, data[index].prio)) return;
+    // Move an item down into the proper box
+    void bubbleDown(int index) {
+      if (!upper(_data[index].box, _data[index].prio)) return;
       remove(index);
-      int box = findDown(data[index].box, data[index].prio);
+      int box = findDown(_data[index].box, _data[index].prio);
       insert(box, index);
     }
 
-    /// \brief Find up the proper box for the item with the given prio.
+    // Find down the proper box for the item with the given priority
     int findDown(int start, int pr) {
       while (upper(start, pr)) {
-        if (--start < 0) throw UnderFlowPriorityError();
+        if (--start < 0) throw PriorityUnderflowError();
       }
       return start;
     }
 
-    /// \brief Find the first not empty box.
+    // Find the first non-empty box
     int findFirst() {
       int first = 0;
-      while (boxes[first].first == -1) ++first;
+      while (_boxes[first].first == -1) ++first;
       return first;
     }
 
-    /// \brief Gives back the minimal prio of the box.
+    // Gives back the minimum priority of the given box
     int minValue(int box) {
-      int min = data[boxes[box].first].prio;
-      for (int k = boxes[box].first; k != -1; k = data[k].next) {
-        if (data[k].prio < min) min = data[k].prio;
+      int min = _data[_boxes[box].first].prio;
+      for (int k = _boxes[box].first; k != -1; k = _data[k].next) {
+        if (_data[k].prio < min) min = _data[k].prio;
       }
       return min;
     }
 
-    /// \brief Rearrange the items of the heap and makes the
-    /// first box not empty.
+    // Rearrange the items of the heap and make the first box non-empty
     void moveDown() {
       int box = findFirst();
       if (box == 0) return;
       int min = minValue(box);
       for (int i = 0; i <= box; ++i) {
-        boxes[i].min = min;
-        min += boxes[i].size;
+        _boxes[i].min = min;
+        min += _boxes[i].size;
       }
-      int curr = boxes[box].first, next;
+      int curr = _boxes[box].first, next;
       while (curr != -1) {
-        next = data[curr].next;
-        bubble_down(curr);
+        next = _data[curr].next;
+        bubbleDown(curr);
         curr = next;
       }
     }
 
-    void relocate_last(int index) {
-      if (index != int(data.size()) - 1) {
-        data[index] = data.back();
-        if (data[index].prev != -1) {
-          data[data[index].prev].next = index;
+    void relocateLast(int index) {
+      if (index != int(_data.size()) - 1) {
+        _data[index] = _data.back();
+        if (_data[index].prev != -1) {
+          _data[_data[index].prev].next = index;
         } else {
-          boxes[data[index].box].first = index;
+          _boxes[_data[index].box].first = index;
         }
-        if (data[index].next != -1) {
-          data[data[index].next].prev = index;
+        if (_data[index].next != -1) {
+          _data[_data[index].next].prev = index;
         }
-        _iim[data[index].item] = index;
+        _iim[_data[index].item] = index;
       }
-      data.pop_back();
+      _data.pop_back();
     }
 
   public:
 
     /// \brief Insert an item into the heap with the given priority.
     ///
-    /// Adds \c i to the heap with priority \c p.
+    /// This function inserts the given item into the heap with the
+    /// given priority.
     /// \param i The item to insert.
     /// \param p The priority of the item.
+    /// \pre \e i must not be stored in the heap.
+    /// \warning This method may throw an \c UnderFlowPriorityException.
     void push(const Item &i, const Prio &p) {
-      int n = data.size();
+      int n = _data.size();
       _iim.set(i, n);
-      data.push_back(RadixItem(i, p));
-      while (lower(boxes.size() - 1, p)) {
+      _data.push_back(RadixItem(i, p));
+      while (lower(_boxes.size() - 1, p)) {
         extend();
       }
-      int box = findDown(boxes.size() - 1, p);
+      int box = findDown(_boxes.size() - 1, p);
       insert(box, n);
     }
 
-    /// \brief Returns the item with minimum priority.
+    /// \brief Return the item having minimum priority.
     ///
-    /// This method returns the item with minimum priority.
-    /// \pre The heap must be nonempty.
+    /// This function returns the item having minimum priority.
+    /// \pre The heap must be non-empty.
     Item top() const {
       const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown();
-      return data[boxes[0].first].item;
+      return _data[_boxes[0].first].item;
     }
 
-    /// \brief Returns the minimum priority.
+    /// \brief The minimum priority.
     ///
-    /// It returns the minimum priority.
-    /// \pre The heap must be nonempty.
+    /// This function returns the minimum priority.
+    /// \pre The heap must be non-empty.
     Prio prio() const {
       const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown();
-      return data[boxes[0].first].prio;
+      return _data[_boxes[0].first].prio;
      }
 
-    /// \brief Deletes the item with minimum priority.
+    /// \brief Remove the item having minimum priority.
     ///
-    /// This method deletes the item with minimum priority.
+    /// This function removes the item having minimum priority.
     /// \pre The heap must be non-empty.
     void pop() {
       moveDown();
-      int index = boxes[0].first;
-      _iim[data[index].item] = POST_HEAP;
+      int index = _boxes[0].first;
+      _iim[_data[index].item] = POST_HEAP;
       remove(index);
-      relocate_last(index);
+      relocateLast(index);
     }
 
-    /// \brief Deletes \c i from the heap.
+    /// \brief Remove the given item from the heap.
     ///
-    /// This method deletes item \c i from the heap, if \c i was
-    /// already stored in the heap.
-    /// \param i The item to erase.
+    /// This function removes the given item from the heap if it is
+    /// already stored.
+    /// \param i The item to delete.
+    /// \pre \e i must be in the heap.
     void erase(const Item &i) {
       int index = _iim[i];
       _iim[i] = POST_HEAP;
       remove(index);
-      relocate_last(index);
+      relocateLast(index);
    }
 
-    /// \brief Returns the priority of \c i.
+    /// \brief The priority of the given item.
     ///
-    /// This function returns the priority of item \c i.
-    /// \pre \c i must be in the heap.
+    /// This function returns the priority of the given item.
     /// \param i The item.
+    /// \pre \e i must be in the heap.
     Prio operator[](const Item &i) const {
       int idx = _iim[i];
-      return data[idx].prio;
+      return _data[idx].prio;
     }
 
-    /// \brief \c i gets to the heap with priority \c p independently
-    /// if \c i was already there.
+    /// \brief Set the priority of an item or insert it, if it is
+    /// not stored in the heap.
     ///
-    /// This method calls \ref push(\c i, \c p) if \c i is not stored
-    /// in the heap and sets the priority of \c i to \c p otherwise.
-    /// It may throw an \e UnderFlowPriorityException.
+    /// This method sets the priority of the given item if it is
+    /// already stored in the heap. Otherwise it inserts the given
+    /// item into the heap with the given priority.
     /// \param i The item.
     /// \param p The priority.
+    /// \pre \e i must be in the heap.
+    /// \warning This method may throw an \c UnderFlowPriorityException.
     void set(const Item &i, const Prio &p) {
       int idx = _iim[i];
       if( idx < 0 ) {
         push(i, p);
       }
-      else if( p >= data[idx].prio ) {
-        data[idx].prio = p;
-        bubble_up(idx);
+      else if( p >= _data[idx].prio ) {
+        _data[idx].prio = p;
+        bubbleUp(idx);
       } else {
-        data[idx].prio = p;
-        bubble_down(idx);
+        _data[idx].prio = p;
+        bubbleDown(idx);
       }
     }
 
-
-    /// \brief Decreases the priority of \c i to \c p.
+    /// \brief Decrease the priority of an item to the given value.
     ///
-    /// This method decreases the priority of item \c i to \c p.
-    /// \pre \c i must be stored in the heap with priority at least \c p, and
-    /// \c should be greater or equal to the last removed item's priority.
+    /// This function decreases the priority of an item to the given value.
     /// \param i The item.
     /// \param p The priority.
+    /// \pre \e i must be stored in the heap with priority at least \e p.
+    /// \warning This method may throw an \c UnderFlowPriorityException.
     void decrease(const Item &i, const Prio &p) {
       int idx = _iim[i];
-      data[idx].prio = p;
-      bubble_down(idx);
+      _data[idx].prio = p;
+      bubbleDown(idx);
     }
 
-    /// \brief Increases the priority of \c i to \c p.
+    /// \brief Increase the priority of an item to the given value.
     ///
-    /// This method sets the priority of item \c i to \c p.
-    /// \pre \c i must be stored in the heap with priority at most \c p
+    /// This function increases the priority of an item to the given value.
     /// \param i The item.
     /// \param p The priority.
+    /// \pre \e i must be stored in the heap with priority at most \e p.
     void increase(const Item &i, const Prio &p) {
       int idx = _iim[i];
-      data[idx].prio = p;
-      bubble_up(idx);
+      _data[idx].prio = p;
+      bubbleUp(idx);
     }
 
-    /// \brief Returns if \c item is in, has already been in, or has
-    /// never been in the heap.
+    /// \brief Return the state of an item.
     ///
-    /// This method returns PRE_HEAP if \c item has never been in the
-    /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
-    /// otherwise. In the latter case it is possible that \c item will
-    /// get back to the heap again.
+    /// This method returns \c PRE_HEAP if the given item has never
+    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
+    /// and \c POST_HEAP otherwise.
+    /// In the latter case it is possible that the item will get back
+    /// to the heap again.
     /// \param i The item.
     State state(const Item &i) const {
       int s = _iim[i];
@@ -405,11 +410,11 @@
       return State(s);
     }
 
-    /// \brief Sets the state of the \c item in the heap.
+    /// \brief Set the state of an item in the heap.
     ///
-    /// Sets the state of the \c item in the heap. It can be used to
-    /// manually clear the heap when it is important to achive the
-    /// better time complexity.
+    /// This function sets the state of the given item in the heap.
+    /// It can be used to manually clear the heap when it is important
+    /// to achive better time complexity.
     /// \param i The item.
     /// \param st The state. It should not be \c IN_HEAP.
     void state(const Item& i, State st) {
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/smart_graph.h
--- a/lemon/smart_graph.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/smart_graph.h	Thu Dec 10 17:18:25 2009 +0100
@@ -32,10 +32,7 @@
 namespace lemon {
 
   class SmartDigraph;
-  ///Base of SmartDigraph
 
-  ///Base of SmartDigraph
-  ///
   class SmartDigraphBase {
   protected:
 
@@ -187,28 +184,28 @@
   ///
   ///\brief A smart directed graph class.
   ///
-  ///This is a simple and fast digraph implementation.
-  ///It is also quite memory efficient, but at the price
-  ///that <b> it does support only limited (only stack-like)
-  ///node and arc deletions</b>.
-  ///It fully conforms to the \ref concepts::Digraph "Digraph concept".
+  ///\ref SmartDigraph is a simple and fast digraph implementation.
+  ///It is also quite memory efficient but at the price
+  ///that it does not support node and arc deletion 
+  ///(except for the Snapshot feature).
   ///
-  ///\sa concepts::Digraph.
+  ///This type fully conforms to the \ref concepts::Digraph "Digraph concept"
+  ///and it also provides some additional functionalities.
+  ///Most of its member functions and nested classes are documented
+  ///only in the concept class.
+  ///
+  ///This class provides constant time counting for nodes and arcs.
+  ///
+  ///\sa concepts::Digraph
+  ///\sa SmartGraph
   class SmartDigraph : public ExtendedSmartDigraphBase {
     typedef ExtendedSmartDigraphBase Parent;
 
   private:
-
-    ///SmartDigraph is \e not copy constructible. Use DigraphCopy() instead.
-
-    ///SmartDigraph is \e not copy constructible. Use DigraphCopy() instead.
-    ///
+    /// Digraphs are \e not copy constructible. Use DigraphCopy instead.
     SmartDigraph(const SmartDigraph &) : ExtendedSmartDigraphBase() {};
-    ///\brief Assignment of SmartDigraph to another one is \e not allowed.
-    ///Use DigraphCopy() instead.
-
-    ///Assignment of SmartDigraph to another one is \e not allowed.
-    ///Use DigraphCopy() instead.
+    /// \brief Assignment of a digraph to another one is \e not allowed.
+    /// Use DigraphCopy instead.
     void operator=(const SmartDigraph &) {}
 
   public:
@@ -221,79 +218,49 @@
 
     ///Add a new node to the digraph.
 
-    /// Add a new node to the digraph.
-    /// \return The new node.
+    ///This function adds a new node to the digraph.
+    ///\return The new node.
     Node addNode() { return Parent::addNode(); }
 
     ///Add a new arc to the digraph.
 
-    ///Add a new arc to the digraph with source node \c s
+    ///This function adds a new arc to the digraph with source node \c s
     ///and target node \c t.
     ///\return The new arc.
-    Arc addArc(const Node& s, const Node& t) {
+    Arc addArc(Node s, Node t) {
       return Parent::addArc(s, t);
     }
 
-    /// \brief Using this it is possible to avoid the superfluous memory
-    /// allocation.
-
-    /// Using this it is possible to avoid the superfluous memory
-    /// allocation: if you know that the digraph you want to build will
-    /// be very large (e.g. it will contain millions of nodes and/or arcs)
-    /// then it is worth reserving space for this amount before starting
-    /// to build the digraph.
-    /// \sa reserveArc
-    void reserveNode(int n) { nodes.reserve(n); };
-
-    /// \brief Using this it is possible to avoid the superfluous memory
-    /// allocation.
-
-    /// Using this it is possible to avoid the superfluous memory
-    /// allocation: if you know that the digraph you want to build will
-    /// be very large (e.g. it will contain millions of nodes and/or arcs)
-    /// then it is worth reserving space for this amount before starting
-    /// to build the digraph.
-    /// \sa reserveNode
-    void reserveArc(int m) { arcs.reserve(m); };
-
     /// \brief Node validity check
     ///
-    /// This function gives back true if the given node is valid,
-    /// ie. it is a real node of the graph.
+    /// This function gives back \c true if the given node is valid,
+    /// i.e. it is a real node of the digraph.
     ///
     /// \warning A removed node (using Snapshot) could become valid again
-    /// when new nodes are added to the graph.
+    /// if new nodes are added to the digraph.
     bool valid(Node n) const { return Parent::valid(n); }
 
     /// \brief Arc validity check
     ///
-    /// This function gives back true if the given arc is valid,
-    /// ie. it is a real arc of the graph.
+    /// This function gives back \c true if the given arc is valid,
+    /// i.e. it is a real arc of the digraph.
     ///
     /// \warning A removed arc (using Snapshot) could become valid again
-    /// when new arcs are added to the graph.
+    /// if new arcs are added to the graph.
     bool valid(Arc a) const { return Parent::valid(a); }
 
-    ///Clear the digraph.
-
-    ///Erase all the nodes and arcs from the digraph.
-    ///
-    void clear() {
-      Parent::clear();
-    }
-
     ///Split a node.
 
-    ///This function splits a node. First a new node is added to the digraph,
-    ///then the source of each outgoing arc of \c n is moved to this new node.
-    ///If \c connect is \c true (this is the default value), then a new arc
-    ///from \c n to the newly created node is also added.
+    ///This function splits the given node. First, a new node is added
+    ///to the digraph, then the source of each outgoing arc of node \c n
+    ///is moved to this new node.
+    ///If the second parameter \c connect is \c true (this is the default
+    ///value), then a new arc from node \c n to the newly created node
+    ///is also added.
     ///\return The newly created node.
     ///
-    ///\note The <tt>Arc</tt>s
-    ///referencing a moved arc remain
-    ///valid. However <tt>InArc</tt>'s and <tt>OutArc</tt>'s
-    ///may be invalidated.
+    ///\note All iterators remain valid.
+    ///
     ///\warning This functionality cannot be used together with the Snapshot
     ///feature.
     Node split(Node n, bool connect = true)
@@ -308,6 +275,34 @@
       return b;
     }
 
+    ///Clear the digraph.
+
+    ///This function erases all nodes and arcs from the digraph.
+    ///
+    void clear() {
+      Parent::clear();
+    }
+
+    /// Reserve memory for nodes.
+
+    /// Using this function, it is possible to avoid superfluous memory
+    /// allocation: if you know that the digraph you want to build will
+    /// be large (e.g. it will contain millions of nodes and/or arcs),
+    /// then it is worth reserving space for this amount before starting
+    /// to build the digraph.
+    /// \sa reserveArc()
+    void reserveNode(int n) { nodes.reserve(n); };
+
+    /// Reserve memory for arcs.
+
+    /// Using this function, it is possible to avoid superfluous memory
+    /// allocation: if you know that the digraph you want to build will
+    /// be large (e.g. it will contain millions of nodes and/or arcs),
+    /// then it is worth reserving space for this amount before starting
+    /// to build the digraph.
+    /// \sa reserveNode()
+    void reserveArc(int m) { arcs.reserve(m); };
+
   public:
 
     class Snapshot;
@@ -332,20 +327,23 @@
 
   public:
 
-    ///Class to make a snapshot of the digraph and to restrore to it later.
+    ///Class to make a snapshot of the digraph and to restore it later.
 
-    ///Class to make a snapshot of the digraph and to restrore to it later.
+    ///Class to make a snapshot of the digraph and to restore it later.
     ///
     ///The newly added nodes and arcs can be removed using the
-    ///restore() function.
-    ///\note After you restore a state, you cannot restore
-    ///a later state, in other word you cannot add again the arcs deleted
-    ///by restore() using another one Snapshot instance.
+    ///restore() function. This is the only way for deleting nodes and/or
+    ///arcs from a SmartDigraph structure.
     ///
-    ///\warning If you do not use correctly the snapshot that can cause
-    ///either broken program, invalid state of the digraph, valid but
-    ///not the restored digraph or no change. Because the runtime performance
-    ///the validity of the snapshot is not stored.
+    ///\note After a state is restored, you cannot restore a later state, 
+    ///i.e. you cannot add the removed nodes and arcs again using
+    ///another Snapshot instance.
+    ///
+    ///\warning Node splitting cannot be restored.
+    ///\warning The validity of the snapshot is not stored due to
+    ///performance reasons. If you do not use the snapshot correctly,
+    ///it can cause broken program, invalid or not restored state of
+    ///the digraph or no change.
     class Snapshot
     {
       SmartDigraph *_graph;
@@ -357,39 +355,32 @@
       ///Default constructor.
 
       ///Default constructor.
-      ///To actually make a snapshot you must call save().
-      ///
+      ///You have to call save() to actually make a snapshot.
       Snapshot() : _graph(0) {}
       ///Constructor that immediately makes a snapshot
 
-      ///This constructor immediately makes a snapshot of the digraph.
-      ///\param graph The digraph we make a snapshot of.
-      Snapshot(SmartDigraph &graph) : _graph(&graph) {
+      ///This constructor immediately makes a snapshot of the given digraph.
+      ///
+      Snapshot(SmartDigraph &gr) : _graph(&gr) {
         node_num=_graph->nodes.size();
         arc_num=_graph->arcs.size();
       }
 
       ///Make a snapshot.
 
-      ///Make a snapshot of the digraph.
-      ///
-      ///This function can be called more than once. In case of a repeated
+      ///This function makes a snapshot of the given digraph.
+      ///It can be called more than once. In case of a repeated
       ///call, the previous snapshot gets lost.
-      ///\param graph The digraph we make the snapshot of.
-      void save(SmartDigraph &graph)
-      {
-        _graph=&graph;
+      void save(SmartDigraph &gr) {
+        _graph=&gr;
         node_num=_graph->nodes.size();
         arc_num=_graph->arcs.size();
       }
 
       ///Undo the changes until a snapshot.
 
-      ///Undo the changes until a snapshot created by save().
-      ///
-      ///\note After you restored a state, you cannot restore
-      ///a later state, in other word you cannot add again the arcs deleted
-      ///by restore().
+      ///This function undos the changes until the last snapshot
+      ///created by save() or Snapshot(SmartDigraph&).
       void restore()
       {
         _graph->restoreSnapshot(*this);
@@ -508,7 +499,7 @@
       node._id = nodes.size() - 1;
     }
 
-    void next(Node& node) const {
+    static void next(Node& node) {
       --node._id;
     }
 
@@ -516,7 +507,7 @@
       arc._id = arcs.size() - 1;
     }
 
-    void next(Arc& arc) const {
+    static void next(Arc& arc) {
       --arc._id;
     }
 
@@ -524,7 +515,7 @@
       arc._id = arcs.size() / 2 - 1;
     }
 
-    void next(Edge& arc) const {
+    static void next(Edge& arc) {
       --arc._id;
     }
 
@@ -621,29 +612,28 @@
   ///
   /// \brief A smart undirected graph class.
   ///
-  /// This is a simple and fast graph implementation.
-  /// It is also quite memory efficient, but at the price
-  /// that <b> it does support only limited (only stack-like)
-  /// node and arc deletions</b>.
-  /// It fully conforms to the \ref concepts::Graph "Graph concept".
+  /// \ref SmartGraph is a simple and fast graph implementation.
+  /// It is also quite memory efficient but at the price
+  /// that it does not support node and edge deletion 
+  /// (except for the Snapshot feature).
   ///
-  /// \sa concepts::Graph.
+  /// This type fully conforms to the \ref concepts::Graph "Graph concept"
+  /// and it also provides some additional functionalities.
+  /// Most of its member functions and nested classes are documented
+  /// only in the concept class.
+  ///
+  /// This class provides constant time counting for nodes, edges and arcs.
+  ///
+  /// \sa concepts::Graph
+  /// \sa SmartDigraph
   class SmartGraph : public ExtendedSmartGraphBase {
     typedef ExtendedSmartGraphBase Parent;
 
   private:
-
-    ///SmartGraph is \e not copy constructible. Use GraphCopy() instead.
-
-    ///SmartGraph is \e not copy constructible. Use GraphCopy() instead.
-    ///
+    /// Graphs are \e not copy constructible. Use GraphCopy instead.
     SmartGraph(const SmartGraph &) : ExtendedSmartGraphBase() {};
-
-    ///\brief Assignment of SmartGraph to another one is \e not allowed.
-    ///Use GraphCopy() instead.
-
-    ///Assignment of SmartGraph to another one is \e not allowed.
-    ///Use GraphCopy() instead.
+    /// \brief Assignment of a graph to another one is \e not allowed.
+    /// Use GraphCopy instead.
     void operator=(const SmartGraph &) {}
 
   public:
@@ -654,56 +644,77 @@
     ///
     SmartGraph() {}
 
-    ///Add a new node to the graph.
-
-    /// Add a new node to the graph.
+    /// \brief Add a new node to the graph.
+    ///
+    /// This function adds a new node to the graph.
     /// \return The new node.
     Node addNode() { return Parent::addNode(); }
 
-    ///Add a new edge to the graph.
-
-    ///Add a new edge to the graph with node \c s
-    ///and \c t.
-    ///\return The new edge.
-    Edge addEdge(const Node& s, const Node& t) {
-      return Parent::addEdge(s, t);
+    /// \brief Add a new edge to the graph.
+    ///
+    /// This function adds a new edge to the graph between nodes
+    /// \c u and \c v with inherent orientation from node \c u to
+    /// node \c v.
+    /// \return The new edge.
+    Edge addEdge(Node u, Node v) {
+      return Parent::addEdge(u, v);
     }
 
     /// \brief Node validity check
     ///
-    /// This function gives back true if the given node is valid,
-    /// ie. it is a real node of the graph.
+    /// This function gives back \c true if the given node is valid,
+    /// i.e. it is a real node of the graph.
     ///
     /// \warning A removed node (using Snapshot) could become valid again
-    /// when new nodes are added to the graph.
+    /// if new nodes are added to the graph.
     bool valid(Node n) const { return Parent::valid(n); }
 
+    /// \brief Edge validity check
+    ///
+    /// This function gives back \c true if the given edge is valid,
+    /// i.e. it is a real edge of the graph.
+    ///
+    /// \warning A removed edge (using Snapshot) could become valid again
+    /// if new edges are added to the graph.
+    bool valid(Edge e) const { return Parent::valid(e); }
+
     /// \brief Arc validity check
     ///
-    /// This function gives back true if the given arc is valid,
-    /// ie. it is a real arc of the graph.
+    /// This function gives back \c true if the given arc is valid,
+    /// i.e. it is a real arc of the graph.
     ///
     /// \warning A removed arc (using Snapshot) could become valid again
-    /// when new edges are added to the graph.
+    /// if new edges are added to the graph.
     bool valid(Arc a) const { return Parent::valid(a); }
 
-    /// \brief Edge validity check
-    ///
-    /// This function gives back true if the given edge is valid,
-    /// ie. it is a real edge of the graph.
-    ///
-    /// \warning A removed edge (using Snapshot) could become valid again
-    /// when new edges are added to the graph.
-    bool valid(Edge e) const { return Parent::valid(e); }
-
     ///Clear the graph.
 
-    ///Erase all the nodes and edges from the graph.
+    ///This function erases all nodes and arcs from the graph.
     ///
     void clear() {
       Parent::clear();
     }
 
+    /// Reserve memory for nodes.
+
+    /// Using this function, it is possible to avoid superfluous memory
+    /// allocation: if you know that the graph you want to build will
+    /// be large (e.g. it will contain millions of nodes and/or edges),
+    /// then it is worth reserving space for this amount before starting
+    /// to build the graph.
+    /// \sa reserveEdge()
+    void reserveNode(int n) { nodes.reserve(n); };
+
+    /// Reserve memory for edges.
+
+    /// Using this function, it is possible to avoid superfluous memory
+    /// allocation: if you know that the graph you want to build will
+    /// be large (e.g. it will contain millions of nodes and/or edges),
+    /// then it is worth reserving space for this amount before starting
+    /// to build the graph.
+    /// \sa reserveNode()
+    void reserveEdge(int m) { arcs.reserve(2 * m); };
+
   public:
 
     class Snapshot;
@@ -742,21 +753,22 @@
 
   public:
 
-    ///Class to make a snapshot of the digraph and to restrore to it later.
+    ///Class to make a snapshot of the graph and to restore it later.
 
-    ///Class to make a snapshot of the digraph and to restrore to it later.
+    ///Class to make a snapshot of the graph and to restore it later.
     ///
-    ///The newly added nodes and arcs can be removed using the
-    ///restore() function.
+    ///The newly added nodes and edges can be removed using the
+    ///restore() function. This is the only way for deleting nodes and/or
+    ///edges from a SmartGraph structure.
     ///
-    ///\note After you restore a state, you cannot restore
-    ///a later state, in other word you cannot add again the arcs deleted
-    ///by restore() using another one Snapshot instance.
+    ///\note After a state is restored, you cannot restore a later state, 
+    ///i.e. you cannot add the removed nodes and edges again using
+    ///another Snapshot instance.
     ///
-    ///\warning If you do not use correctly the snapshot that can cause
-    ///either broken program, invalid state of the digraph, valid but
-    ///not the restored digraph or no change. Because the runtime performance
-    ///the validity of the snapshot is not stored.
+    ///\warning The validity of the snapshot is not stored due to
+    ///performance reasons. If you do not use the snapshot correctly,
+    ///it can cause broken program, invalid or not restored state of
+    ///the graph or no change.
     class Snapshot
     {
       SmartGraph *_graph;
@@ -768,36 +780,30 @@
       ///Default constructor.
 
       ///Default constructor.
-      ///To actually make a snapshot you must call save().
-      ///
+      ///You have to call save() to actually make a snapshot.
       Snapshot() : _graph(0) {}
       ///Constructor that immediately makes a snapshot
 
-      ///This constructor immediately makes a snapshot of the digraph.
-      ///\param graph The digraph we make a snapshot of.
-      Snapshot(SmartGraph &graph) {
-        graph.saveSnapshot(*this);
+      /// This constructor immediately makes a snapshot of the given graph.
+      ///
+      Snapshot(SmartGraph &gr) {
+        gr.saveSnapshot(*this);
       }
 
       ///Make a snapshot.
 
-      ///Make a snapshot of the graph.
-      ///
-      ///This function can be called more than once. In case of a repeated
+      ///This function makes a snapshot of the given graph.
+      ///It can be called more than once. In case of a repeated
       ///call, the previous snapshot gets lost.
-      ///\param graph The digraph we make the snapshot of.
-      void save(SmartGraph &graph)
+      void save(SmartGraph &gr)
       {
-        graph.saveSnapshot(*this);
+        gr.saveSnapshot(*this);
       }
 
-      ///Undo the changes until a snapshot.
+      ///Undo the changes until the last snapshot.
 
-      ///Undo the changes until a snapshot created by save().
-      ///
-      ///\note After you restored a state, you cannot restore
-      ///a later state, in other word you cannot add again the arcs deleted
-      ///by restore().
+      ///This function undos the changes until the last snapshot
+      ///created by save() or Snapshot(SmartGraph&).
       void restore()
       {
         _graph->restoreSnapshot(*this);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/soplex.cc
--- a/lemon/soplex.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/soplex.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -91,6 +91,19 @@
     return soplex->nRows() - 1;
   }
 
+  int SoplexLp::_addRow(Value l, ExprIterator b, ExprIterator e, Value u) {
+    soplex::DSVector v;
+    for (ExprIterator it = b; it != e; ++it) {
+      v.add(it->first, it->second);
+    }
+    soplex::LPRow r(l, v, u);
+    soplex->addRow(r);
+
+    _row_names.push_back(std::string());
+
+    return soplex->nRows() - 1;
+  }
+
 
   void SoplexLp::_eraseCol(int i) {
     soplex->removeCol(i);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/soplex.h
--- a/lemon/soplex.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/soplex.h	Thu Dec 10 17:18:25 2009 +0100
@@ -84,6 +84,7 @@
 
     virtual int _addCol();
     virtual int _addRow();
+    virtual int _addRow(Value l, ExprIterator b, ExprIterator e, Value u);
 
     virtual void _eraseCol(int i);
     virtual void _eraseRow(int i);
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/static_graph.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/static_graph.h	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,476 @@
+/* -*- C++ -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library
+ *
+ * Copyright (C) 2003-2008
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_STATIC_GRAPH_H
+#define LEMON_STATIC_GRAPH_H
+
+///\ingroup graphs
+///\file
+///\brief StaticDigraph class.
+
+#include <lemon/core.h>
+#include <lemon/bits/graph_extender.h>
+
+namespace lemon {
+
+  class StaticDigraphBase {
+  public:
+
+    StaticDigraphBase() 
+      : built(false), node_num(0), arc_num(0), 
+        node_first_out(NULL), node_first_in(NULL),
+        arc_source(NULL), arc_target(NULL), 
+        arc_next_in(NULL), arc_next_out(NULL) {}
+    
+    ~StaticDigraphBase() {
+      if (built) {
+        delete[] node_first_out;
+        delete[] node_first_in;
+        delete[] arc_source;
+        delete[] arc_target;
+        delete[] arc_next_out;
+        delete[] arc_next_in;
+      }
+    }
+
+    class Node {
+      friend class StaticDigraphBase;
+    protected:
+      int id;
+      Node(int _id) : id(_id) {}
+    public:
+      Node() {}
+      Node (Invalid) : id(-1) {}
+      bool operator==(const Node& node) const { return id == node.id; }
+      bool operator!=(const Node& node) const { return id != node.id; }
+      bool operator<(const Node& node) const { return id < node.id; }
+    };
+
+    class Arc {
+      friend class StaticDigraphBase;      
+    protected:
+      int id;
+      Arc(int _id) : id(_id) {}
+    public:
+      Arc() { }
+      Arc (Invalid) : id(-1) {}
+      bool operator==(const Arc& arc) const { return id == arc.id; }
+      bool operator!=(const Arc& arc) const { return id != arc.id; }
+      bool operator<(const Arc& arc) const { return id < arc.id; }
+    };
+
+    Node source(const Arc& e) const { return Node(arc_source[e.id]); }
+    Node target(const Arc& e) const { return Node(arc_target[e.id]); }
+
+    void first(Node& n) const { n.id = node_num - 1; }
+    static void next(Node& n) { --n.id; }
+
+    void first(Arc& e) const { e.id = arc_num - 1; }
+    static void next(Arc& e) { --e.id; }
+
+    void firstOut(Arc& e, const Node& n) const { 
+      e.id = node_first_out[n.id] != node_first_out[n.id + 1] ? 
+        node_first_out[n.id] : -1;
+    }
+    void nextOut(Arc& e) const { e.id = arc_next_out[e.id]; }
+
+    void firstIn(Arc& e, const Node& n) const { e.id = node_first_in[n.id]; }
+    void nextIn(Arc& e) const { e.id = arc_next_in[e.id]; }
+
+    static int id(const Node& n) { return n.id; }
+    static Node nodeFromId(int id) { return Node(id); }
+    int maxNodeId() const { return node_num - 1; }
+
+    static int id(const Arc& e) { return e.id; }
+    static Arc arcFromId(int id) { return Arc(id); }
+    int maxArcId() const { return arc_num - 1; }
+
+    typedef True NodeNumTag;
+    typedef True ArcNumTag;
+
+    int nodeNum() const { return node_num; }
+    int arcNum() const { return arc_num; }
+
+  private:
+
+    template <typename Digraph, typename NodeRefMap>
+    class ArcLess {
+    public:
+      typedef typename Digraph::Arc Arc;
+
+      ArcLess(const Digraph &_graph, const NodeRefMap& _nodeRef) 
+        : digraph(_graph), nodeRef(_nodeRef) {}
+      
+      bool operator()(const Arc& left, const Arc& right) const {
+	return nodeRef[digraph.target(left)] < nodeRef[digraph.target(right)];
+      }
+    private:
+      const Digraph& digraph;
+      const NodeRefMap& nodeRef;
+    };
+    
+  public:
+
+    typedef True BuildTag;
+    
+    void clear() {
+      if (built) {
+        delete[] node_first_out;
+        delete[] node_first_in;
+        delete[] arc_source;
+        delete[] arc_target;
+        delete[] arc_next_out;
+        delete[] arc_next_in;
+      }
+      built = false;
+      node_num = 0;
+      arc_num = 0;
+    }
+    
+    template <typename Digraph, typename NodeRefMap, typename ArcRefMap>
+    void build(const Digraph& digraph, NodeRefMap& nodeRef, ArcRefMap& arcRef) {
+      typedef typename Digraph::Node GNode;
+      typedef typename Digraph::Arc GArc;
+
+      built = true;
+
+      node_num = countNodes(digraph);
+      arc_num = countArcs(digraph);
+
+      node_first_out = new int[node_num + 1];
+      node_first_in = new int[node_num];
+
+      arc_source = new int[arc_num];
+      arc_target = new int[arc_num];
+      arc_next_out = new int[arc_num];
+      arc_next_in = new int[arc_num];
+
+      int node_index = 0;
+      for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) {
+        nodeRef[n] = Node(node_index);
+        node_first_in[node_index] = -1;
+        ++node_index;
+      }
+
+      ArcLess<Digraph, NodeRefMap> arcLess(digraph, nodeRef);
+
+      int arc_index = 0;
+      for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) {
+        int source = nodeRef[n].id;
+        std::vector<GArc> arcs;
+        for (typename Digraph::OutArcIt e(digraph, n); e != INVALID; ++e) {
+          arcs.push_back(e);
+        }
+        if (!arcs.empty()) {
+          node_first_out[source] = arc_index;
+          std::sort(arcs.begin(), arcs.end(), arcLess);
+          for (typename std::vector<GArc>::iterator it = arcs.begin();
+               it != arcs.end(); ++it) {
+            int target = nodeRef[digraph.target(*it)].id;
+            arcRef[*it] = Arc(arc_index);
+            arc_source[arc_index] = source; 
+            arc_target[arc_index] = target;
+            arc_next_in[arc_index] = node_first_in[target];
+            node_first_in[target] = arc_index;
+            arc_next_out[arc_index] = arc_index + 1;
+            ++arc_index;
+          }
+          arc_next_out[arc_index - 1] = -1;
+        } else {
+          node_first_out[source] = arc_index;
+        }
+      }
+      node_first_out[node_num] = arc_num;
+    }
+    
+    template <typename ArcListIterator>
+    void build(int n, ArcListIterator first, ArcListIterator last) {
+      built = true;
+
+      node_num = n;
+      arc_num = std::distance(first, last);
+
+      node_first_out = new int[node_num + 1];
+      node_first_in = new int[node_num];
+
+      arc_source = new int[arc_num];
+      arc_target = new int[arc_num];
+      arc_next_out = new int[arc_num];
+      arc_next_in = new int[arc_num];
+      
+      for (int i = 0; i != node_num; ++i) {
+        node_first_in[i] = -1;
+      }      
+      
+      int arc_index = 0;
+      for (int i = 0; i != node_num; ++i) {
+        node_first_out[i] = arc_index;
+        for ( ; first != last && (*first).first == i; ++first) {
+          int j = (*first).second;
+          LEMON_ASSERT(j >= 0 && j < node_num,
+            "Wrong arc list for StaticDigraph::build()");
+          arc_source[arc_index] = i;
+          arc_target[arc_index] = j;
+          arc_next_in[arc_index] = node_first_in[j];
+          node_first_in[j] = arc_index;
+          arc_next_out[arc_index] = arc_index + 1;
+          ++arc_index;
+        }
+        if (arc_index > node_first_out[i])
+          arc_next_out[arc_index - 1] = -1;
+      }
+      LEMON_ASSERT(first == last,
+        "Wrong arc list for StaticDigraph::build()");
+      node_first_out[node_num] = arc_num;
+    }
+
+  protected:
+
+    void fastFirstOut(Arc& e, const Node& n) const {
+      e.id = node_first_out[n.id];
+    }
+
+    static void fastNextOut(Arc& e) {
+      ++e.id;
+    }
+    void fastLastOut(Arc& e, const Node& n) const {
+      e.id = node_first_out[n.id + 1];
+    }
+
+  protected:
+    bool built;
+    int node_num;
+    int arc_num;
+    int *node_first_out;
+    int *node_first_in;
+    int *arc_source;
+    int *arc_target;
+    int *arc_next_in;
+    int *arc_next_out;
+  };
+
+  typedef DigraphExtender<StaticDigraphBase> ExtendedStaticDigraphBase;
+
+
+  /// \ingroup graphs
+  ///
+  /// \brief A static directed graph class.
+  ///
+  /// \ref StaticDigraph is a highly efficient digraph implementation,
+  /// but it is fully static.
+  /// It stores only two \c int values for each node and only four \c int
+  /// values for each arc. Moreover it provides faster item iteration than
+  /// \ref ListDigraph and \ref SmartDigraph, especially using \c OutArcIt
+  /// iterators, since its arcs are stored in an appropriate order.
+  /// However it only provides build() and clear() functions and does not
+  /// support any other modification of the digraph.
+  ///
+  /// Since this digraph structure is completely static, its nodes and arcs
+  /// can be indexed with integers from the ranges <tt>[0..nodeNum()-1]</tt>
+  /// and <tt>[0..arcNum()-1]</tt>, respectively. 
+  /// The index of an item is the same as its ID, it can be obtained
+  /// using the corresponding \ref index() or \ref concepts::Digraph::id()
+  /// "id()" function. A node or arc with a certain index can be obtained
+  /// using node() or arc().
+  ///
+  /// This type fully conforms to the \ref concepts::Digraph "Digraph concept".
+  /// Most of its member functions and nested classes are documented
+  /// only in the concept class.
+  ///
+  /// This class provides constant time counting for nodes and arcs.
+  ///
+  /// \sa concepts::Digraph
+  class StaticDigraph : public ExtendedStaticDigraphBase {
+  public:
+
+    typedef ExtendedStaticDigraphBase Parent;
+  
+  public:
+  
+    /// \brief Constructor
+    ///
+    /// Default constructor.
+    StaticDigraph() : Parent() {}
+
+    /// \brief The node with the given index.
+    ///
+    /// This function returns the node with the given index.
+    /// \sa index()
+    static Node node(int ix) { return Parent::nodeFromId(ix); }
+
+    /// \brief The arc with the given index.
+    ///
+    /// This function returns the arc with the given index.
+    /// \sa index()
+    static Arc arc(int ix) { return Parent::arcFromId(ix); }
+
+    /// \brief The index of the given node.
+    ///
+    /// This function returns the index of the the given node.
+    /// \sa node()
+    static int index(Node node) { return Parent::id(node); }
+
+    /// \brief The index of the given arc.
+    ///
+    /// This function returns the index of the the given arc.
+    /// \sa arc()
+    static int index(Arc arc) { return Parent::id(arc); }
+
+    /// \brief Number of nodes.
+    ///
+    /// This function returns the number of nodes.
+    int nodeNum() const { return node_num; }
+
+    /// \brief Number of arcs.
+    ///
+    /// This function returns the number of arcs.
+    int arcNum() const { return arc_num; }
+
+    /// \brief Build the digraph copying another digraph.
+    ///
+    /// This function builds the digraph copying another digraph of any
+    /// kind. It can be called more than once, but in such case, the whole
+    /// structure and all maps will be cleared and rebuilt.
+    ///
+    /// This method also makes possible to copy a digraph to a StaticDigraph
+    /// structure using \ref DigraphCopy.
+    /// 
+    /// \param digraph An existing digraph to be copied.
+    /// \param nodeRef The node references will be copied into this map.
+    /// Its key type must be \c Digraph::Node and its value type must be
+    /// \c StaticDigraph::Node.
+    /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap"
+    /// concept.
+    /// \param arcRef The arc references will be copied into this map.
+    /// Its key type must be \c Digraph::Arc and its value type must be
+    /// \c StaticDigraph::Arc.
+    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+    ///
+    /// \note If you do not need the arc references, then you could use
+    /// \ref NullMap for the last parameter. However the node references
+    /// are required by the function itself, thus they must be readable
+    /// from the map.
+    template <typename Digraph, typename NodeRefMap, typename ArcRefMap>
+    void build(const Digraph& digraph, NodeRefMap& nodeRef, ArcRefMap& arcRef) {
+      if (built) Parent::clear();
+      Parent::build(digraph, nodeRef, arcRef);
+    }
+  
+    /// \brief Build the digraph from an arc list.
+    ///
+    /// This function builds the digraph from the given arc list.
+    /// It can be called more than once, but in such case, the whole
+    /// structure and all maps will be cleared and rebuilt.
+    ///
+    /// The list of the arcs must be given in the range <tt>[begin, end)</tt>
+    /// specified by STL compatible itartors whose \c value_type must be
+    /// <tt>std::pair<int,int></tt>.
+    /// Each arc must be specified by a pair of integer indices
+    /// from the range <tt>[0..n-1]</tt>. <i>The pairs must be in a
+    /// non-decreasing order with respect to their first values.</i>
+    /// If the k-th pair in the list is <tt>(i,j)</tt>, then
+    /// <tt>arc(k-1)</tt> will connect <tt>node(i)</tt> to <tt>node(j)</tt>.
+    ///
+    /// \param n The number of nodes.
+    /// \param begin An iterator pointing to the beginning of the arc list.
+    /// \param end An iterator pointing to the end of the arc list.
+    ///
+    /// For example, a simple digraph can be constructed like this.
+    /// \code
+    ///   std::vector<std::pair<int,int> > arcs;
+    ///   arcs.push_back(std::make_pair(0,1));
+    ///   arcs.push_back(std::make_pair(0,2));
+    ///   arcs.push_back(std::make_pair(1,3));
+    ///   arcs.push_back(std::make_pair(1,2));
+    ///   arcs.push_back(std::make_pair(3,0));
+    ///   StaticDigraph gr;
+    ///   gr.build(4, arcs.begin(), arcs.end());
+    /// \endcode
+    template <typename ArcListIterator>
+    void build(int n, ArcListIterator begin, ArcListIterator end) {
+      if (built) Parent::clear();
+      StaticDigraphBase::build(n, begin, end);
+      notifier(Node()).build();
+      notifier(Arc()).build();
+    }
+
+    /// \brief Clear the digraph.
+    ///
+    /// This function erases all nodes and arcs from the digraph.
+    void clear() {
+      Parent::clear();
+    }
+
+  protected:
+
+    using Parent::fastFirstOut;
+    using Parent::fastNextOut;
+    using Parent::fastLastOut;
+    
+  public:
+
+    class OutArcIt : public Arc {
+    public:
+
+      OutArcIt() { }
+
+      OutArcIt(Invalid i) : Arc(i) { }
+
+      OutArcIt(const StaticDigraph& digraph, const Node& node) {
+	digraph.fastFirstOut(*this, node);
+	digraph.fastLastOut(last, node);
+        if (last == *this) *this = INVALID;
+      }
+
+      OutArcIt(const StaticDigraph& digraph, const Arc& arc) : Arc(arc) {
+        if (arc != INVALID) {
+          digraph.fastLastOut(last, digraph.source(arc));
+        }
+      }
+
+      OutArcIt& operator++() { 
+        StaticDigraph::fastNextOut(*this);
+        if (last == *this) *this = INVALID;
+        return *this; 
+      }
+
+    private:
+      Arc last;
+    };
+
+    Node baseNode(const OutArcIt &arc) const {
+      return Parent::source(static_cast<const Arc&>(arc));
+    }
+
+    Node runningNode(const OutArcIt &arc) const {
+      return Parent::target(static_cast<const Arc&>(arc));
+    }
+
+    Node baseNode(const InArcIt &arc) const {
+      return Parent::target(static_cast<const Arc&>(arc));
+    }
+
+    Node runningNode(const InArcIt &arc) const {
+      return Parent::source(static_cast<const Arc&>(arc));
+    }
+
+  };
+
+}
+
+#endif
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/time_measure.h
--- a/lemon/time_measure.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/time_measure.h	Thu Dec 10 17:18:25 2009 +0100
@@ -375,7 +375,7 @@
 
     ///This function returns the number of stop() exections that is
     ///necessary to really stop the timer.
-    ///For example the timer
+    ///For example, the timer
     ///is running if and only if the return value is \c true
     ///(i.e. greater than
     ///zero).
diff -r 994c7df296c9 -r 1b89e29c9fc7 lemon/unionfind.h
--- a/lemon/unionfind.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/lemon/unionfind.h	Thu Dec 10 17:18:25 2009 +0100
@@ -43,7 +43,7 @@
   /// the find operation uses path compression.
   /// This is a very simple but efficient implementation, providing
   /// only four methods: join (union), find, insert and size.
-  /// For more features see the \ref UnionFindEnum class.
+  /// For more features, see the \ref UnionFindEnum class.
   ///
   /// It is primarily used in Kruskal algorithm for finding minimal
   /// cost spanning tree in a graph.
@@ -739,7 +739,7 @@
     /// Erase each item from the data structure.
     void clear() {
       items.clear();
-      classes.clear;
+      classes.clear();
       firstClass = firstFreeClass = firstFreeItem = -1;
     }
 
diff -r 994c7df296c9 -r 1b89e29c9fc7 m4/lx_check_coin.m4
--- a/m4/lx_check_coin.m4	Thu Dec 10 17:05:35 2009 +0100
+++ b/m4/lx_check_coin.m4	Thu Dec 10 17:18:25 2009 +0100
@@ -88,7 +88,7 @@
       elif test x"$with_coin" != x"yes"; then
         CBC_LDFLAGS="-L$with_coin/lib"
       fi
-      CBC_LIBS="-lOsi -lCbc -lOsiCbc -lCbcSolver -lClp -lOsiClp -lCoinUtils -lVol -lOsiVol -lCgl -lm -llapack -lblas"
+      CBC_LIBS="-lOsi -lCbc -lCbcSolver -lClp -lOsiClp -lCoinUtils -lVol -lOsiVol -lCgl -lm -llapack -lblas"
 
       lx_save_cxxflags="$CXXFLAGS"
       lx_save_ldflags="$LDFLAGS"
diff -r 994c7df296c9 -r 1b89e29c9fc7 scripts/Makefile.am
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/scripts/Makefile.am	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,7 @@
+EXTRA_DIST += \
+	scripts/bib2dox.py \
+	scripts/bootstrap.sh \
+	scripts/chg-len.py \
+	scripts/mk-release.sh \
+	scripts/unify-sources.sh \
+	scripts/valgrind-wrapper.sh
diff -r 994c7df296c9 -r 1b89e29c9fc7 scripts/bib2dox.py
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/scripts/bib2dox.py	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,811 @@
+#!/usr/bin/env /usr/local/Python/bin/python2.1
+"""
+  BibTeX to Doxygen converter
+  Usage: python bib2dox.py bibfile.bib > bibfile.dox
+
+  This code is the modification of the BibTeX to XML converter
+  by Vidar Bronken Gundersen et al. See the original copyright notices below. 
+
+  **********************************************************************
+
+  Decoder for bibliographic data, BibTeX
+  Usage: python bibtex2xml.py bibfile.bib > bibfile.xml
+
+  v.8
+  (c)2002-06-23 Vidar Bronken Gundersen
+  http://bibtexml.sf.net/
+  Reuse approved as long as this notification is kept.
+  Licence: GPL.
+
+  Contributions/thanks to:
+  Egon Willighagen, http://sf.net/projects/jreferences/
+  Richard Mahoney (for providing a test case)
+
+  Editted by Sara Sprenkle to be more robust and handle more bibtex features.
+  (c) 2003-01-15
+
+  1.  Changed bibtex: tags to bibxml: tags.
+  2.  Use xmlns:bibxml="http://bibtexml.sf.net/"
+  3.  Allow spaces between @type and first {
+  4.  "author" fields with multiple authors split by " and "
+      are put in separate xml "bibxml:author" tags.
+  5.  Option for Titles: words are capitalized
+      only if first letter in title or capitalized inside braces
+  6.  Removes braces from within field values
+  7.  Ignores comments in bibtex file (including @comment{ or % )
+  8.  Replaces some special latex tags, e.g., replaces ~ with '&#160;'
+  9.  Handles bibtex @string abbreviations
+        --> includes bibtex's default abbreviations for months
+        --> does concatenation of abbr # " more " and " more " # abbr
+  10. Handles @type( ... ) or @type{ ... }
+  11. The keywords field is split on , or ; and put into separate xml
+      "bibxml:keywords" tags
+  12. Ignores @preamble
+
+  Known Limitations
+  1.  Does not transform Latex encoding like math mode and special
+      latex symbols.
+  2.  Does not parse author fields into first and last names.
+      E.g., It does not do anything special to an author whose name is
+      in the form LAST_NAME, FIRST_NAME
+      In "author" tag, will show up as
+      <bibxml:author>LAST_NAME, FIRST_NAME</bibxml:author>
+  3.  Does not handle "crossref" fields other than to print
+      <bibxml:crossref>...</bibxml:crossref>
+  4.  Does not inform user of the input's format errors.  You just won't
+      be able to transform the file later with XSL
+
+  You will have to manually edit the XML output if you need to handle
+  these (and unknown) limitations.
+
+"""
+
+import string, re
+
+# set of valid name characters
+valid_name_chars = '[\w\-:]'
+
+#
+# define global regular expression variables
+#
+author_rex = re.compile('\s+and\s+')
+rembraces_rex = re.compile('[{}]')
+capitalize_rex = re.compile('({[^}]*})')
+
+# used by bibtexkeywords(data)
+keywords_rex = re.compile('[,;]')
+
+# used by concat_line(line)
+concatsplit_rex = re.compile('\s*#\s*')
+
+# split on {, }, or " in verify_out_of_braces
+delimiter_rex = re.compile('([{}"])',re.I)
+
+field_rex = re.compile('\s*(\w*)\s*=\s*(.*)')
+data_rex = re.compile('\s*(\w*)\s*=\s*([^,]*),?')
+
+url_rex = re.compile('\\\url\{([^}]*)\}')
+
+#
+# styles for html formatting
+#
+divstyle = 'margin-top: -4ex; margin-left: 8em;'
+
+#
+# return the string parameter without braces
+#
+def transformurls(str):
+    return url_rex.sub(r'<a href="\1">\1</a>', str)
+
+#
+# return the string parameter without braces
+#
+def removebraces(str):
+    return rembraces_rex.sub('', str)
+
+#
+# latex-specific replacements
+# (do this after braces were removed)
+#
+def latexreplacements(line):
+    line = string.replace(line, '~', '&nbsp;')
+    line = string.replace(line, '\\\'a', '&aacute;')
+    line = string.replace(line, '\\"a', '&auml;')
+    line = string.replace(line, '\\\'e', '&eacute;')
+    line = string.replace(line, '\\"e', '&euml;')
+    line = string.replace(line, '\\\'i', '&iacute;')
+    line = string.replace(line, '\\"i', '&iuml;')
+    line = string.replace(line, '\\\'o', '&oacute;')
+    line = string.replace(line, '\\"o', '&ouml;')
+    line = string.replace(line, '\\\'u', '&uacute;')
+    line = string.replace(line, '\\"u', '&uuml;')
+    line = string.replace(line, '\\H o', '&otilde;')
+    line = string.replace(line, '\\H u', '&uuml;')   # &utilde; does not exist
+    line = string.replace(line, '\\\'A', '&Aacute;')
+    line = string.replace(line, '\\"A', '&Auml;')
+    line = string.replace(line, '\\\'E', '&Eacute;')
+    line = string.replace(line, '\\"E', '&Euml;')
+    line = string.replace(line, '\\\'I', '&Iacute;')
+    line = string.replace(line, '\\"I', '&Iuml;')
+    line = string.replace(line, '\\\'O', '&Oacute;')
+    line = string.replace(line, '\\"O', '&Ouml;')
+    line = string.replace(line, '\\\'U', '&Uacute;')
+    line = string.replace(line, '\\"U', '&Uuml;')
+    line = string.replace(line, '\\H O', '&Otilde;')
+    line = string.replace(line, '\\H U', '&Uuml;')   # &Utilde; does not exist
+
+    return line
+
+#
+# copy characters form a string decoding html expressions (&xyz;)
+#
+def copychars(str, ifrom, count):
+    result = ''
+    i = ifrom
+    c = 0
+    html_spec = False
+    while (i < len(str)) and (c < count):
+        if str[i] == '&':
+            html_spec = True;
+            if i+1 < len(str):
+                result += str[i+1]
+            c += 1
+            i += 2
+        else:
+            if not html_spec:
+                if ((str[i] >= 'A') and (str[i] <= 'Z')) or \
+                   ((str[i] >= 'a') and (str[i] <= 'z')):
+                    result += str[i]
+                    c += 1
+            elif str[i] == ';':
+                html_spec = False;
+            i += 1
+    
+    return result
+
+
+# 
+# Handle a list of authors (separated by 'and').
+# It gives back an array of the follwing values:
+#  - num: the number of authors,
+#  - list: the list of the author names,
+#  - text: the bibtex text (separated by commas and/or 'and')
+#  - abbrev: abbreviation that can be used for indicate the
+#    bibliography entries
+#
+def bibtexauthor(data):
+    result = {}
+    bibtex = ''
+    result['list'] = author_rex.split(data)
+    result['num'] = len(result['list'])
+    for i, author in enumerate(result['list']):
+        # general transformations
+        author = latexreplacements(removebraces(author.strip()))
+        # transform "Xyz, A. B." to "A. B. Xyz"
+        pos = author.find(',')
+        if pos != -1:
+            author = author[pos+1:].strip() + ' ' + author[:pos].strip()
+        result['list'][i] = author
+        bibtex += author + '#'
+    bibtex = bibtex[:-1]
+    if result['num'] > 1:
+        ix = bibtex.rfind('#')
+        if result['num'] == 2:
+            bibtex = bibtex[:ix] + ' and ' + bibtex[ix+1:]
+        else:
+            bibtex = bibtex[:ix] + ', and ' + bibtex[ix+1:]
+    bibtex = bibtex.replace('#', ', ')
+    result['text'] = bibtex
+    
+    result['abbrev'] = ''
+    for author in result['list']:
+        pos = author.rfind(' ') + 1
+        count = 1
+        if result['num'] == 1:
+            count = 3
+        result['abbrev'] += copychars(author, pos, count)
+
+    return result
+
+
+#
+# data = title string
+# @return the capitalized title (first letter is capitalized), rest are capitalized
+# only if capitalized inside braces
+#
+def capitalizetitle(data):
+    title_list = capitalize_rex.split(data)
+    title = ''
+    count = 0
+    for phrase in title_list:
+         check = string.lstrip(phrase)
+
+         # keep phrase's capitalization the same
+         if check.find('{') == 0:
+              title += removebraces(phrase)
+         else:
+         # first word --> capitalize first letter (after spaces)
+              if count == 0:
+                  title += check.capitalize()
+              else:
+                  title += phrase.lower()
+         count = count + 1
+
+    return title
+
+
+#
+# @return the bibtex for the title
+# @param data --> title string
+# braces are removed from title
+#
+def bibtextitle(data, entrytype):
+    if entrytype in ('book', 'inbook'):
+        title = removebraces(data.strip())
+    else:
+        title = removebraces(capitalizetitle(data.strip()))
+    bibtex = title
+    return bibtex
+
+
+#
+# function to compare entry lists
+#
+def entry_cmp(x, y):
+    return cmp(x[0], y[0])
+
+
+#
+# print the XML for the transformed "filecont_source"
+#
+def bibtexdecoder(filecont_source):
+    filecont = []
+    file = []
+    
+    # want @<alphanumeric chars><spaces>{<spaces><any chars>,
+    pubtype_rex = re.compile('@(\w*)\s*{\s*(.*),')
+    endtype_rex = re.compile('}\s*$')
+    endtag_rex = re.compile('^\s*}\s*$')
+
+    bracefield_rex = re.compile('\s*(\w*)\s*=\s*(.*)')
+    bracedata_rex = re.compile('\s*(\w*)\s*=\s*{(.*)},?')
+
+    quotefield_rex = re.compile('\s*(\w*)\s*=\s*(.*)')
+    quotedata_rex = re.compile('\s*(\w*)\s*=\s*"(.*)",?')
+
+    for line in filecont_source:
+        line = line[:-1]
+
+        # encode character entities
+        line = string.replace(line, '&', '&amp;')
+        line = string.replace(line, '<', '&lt;')
+        line = string.replace(line, '>', '&gt;')
+
+        # start entry: publication type (store for later use)
+        if pubtype_rex.match(line):
+        # want @<alphanumeric chars><spaces>{<spaces><any chars>,
+            entrycont = {}
+            entry = []
+            entrytype = pubtype_rex.sub('\g<1>',line)
+            entrytype = string.lower(entrytype)
+            entryid   = pubtype_rex.sub('\g<2>', line)
+
+        # end entry if just a }
+        elif endtype_rex.match(line):
+            # generate doxygen code for the entry
+
+            # enty type related formattings
+            if entrytype in ('book', 'inbook'):
+                entrycont['title'] = '<em>' + entrycont['title'] + '</em>'
+                if not entrycont.has_key('author'):
+                    entrycont['author'] = entrycont['editor']
+                    entrycont['author']['text'] += ', editors'
+            elif entrytype == 'article':
+                entrycont['journal'] = '<em>' + entrycont['journal'] + '</em>'
+            elif entrytype in ('inproceedings', 'incollection', 'conference'):
+                entrycont['booktitle'] = '<em>' + entrycont['booktitle'] + '</em>'
+            elif entrytype == 'techreport':
+                if not entrycont.has_key('type'):
+                    entrycont['type'] = 'Technical report'
+            elif entrytype == 'mastersthesis':
+                entrycont['type'] = 'Master\'s thesis'
+            elif entrytype == 'phdthesis':
+                entrycont['type'] = 'PhD thesis'
+
+            for eline in entrycont:
+                if eline != '':
+                    eline = latexreplacements(eline)
+
+            if entrycont.has_key('pages') and (entrycont['pages'] != ''):
+                entrycont['pages'] = string.replace(entrycont['pages'], '--', '-')
+
+            if entrycont.has_key('author') and (entrycont['author'] != ''):
+                entry.append(entrycont['author']['text'] + '.')
+            if entrycont.has_key('title') and (entrycont['title'] != ''):
+                entry.append(entrycont['title'] + '.')
+            if entrycont.has_key('journal') and (entrycont['journal'] != ''):
+                entry.append(entrycont['journal'] + ',')
+            if entrycont.has_key('booktitle') and (entrycont['booktitle'] != ''):
+                entry.append('In ' + entrycont['booktitle'] + ',')
+            if entrycont.has_key('type') and (entrycont['type'] != ''):
+                eline = entrycont['type']
+                if entrycont.has_key('number') and (entrycont['number'] != ''):
+                    eline += ' ' + entrycont['number']
+                eline += ','
+                entry.append(eline)
+            if entrycont.has_key('institution') and (entrycont['institution'] != ''):
+                entry.append(entrycont['institution'] + ',')
+            if entrycont.has_key('publisher') and (entrycont['publisher'] != ''):
+                entry.append(entrycont['publisher'] + ',')
+            if entrycont.has_key('school') and (entrycont['school'] != ''):
+                entry.append(entrycont['school'] + ',')
+            if entrycont.has_key('address') and (entrycont['address'] != ''):
+                entry.append(entrycont['address'] + ',')
+            if entrycont.has_key('edition') and (entrycont['edition'] != ''):
+                entry.append(entrycont['edition'] + ' edition,')
+            if entrycont.has_key('howpublished') and (entrycont['howpublished'] != ''):
+                entry.append(entrycont['howpublished'] + ',')
+            if entrycont.has_key('volume') and (entrycont['volume'] != ''):
+                eline = entrycont['volume'];
+                if entrycont.has_key('number') and (entrycont['number'] != ''):
+                    eline += '(' + entrycont['number'] + ')'
+                if entrycont.has_key('pages') and (entrycont['pages'] != ''):
+                    eline += ':' + entrycont['pages']
+                eline += ','
+                entry.append(eline)
+            else:
+                if entrycont.has_key('pages') and (entrycont['pages'] != ''):
+                    entry.append('pages ' + entrycont['pages'] + ',')
+            if entrycont.has_key('year') and (entrycont['year'] != ''):
+                if entrycont.has_key('month') and (entrycont['month'] != ''):
+                    entry.append(entrycont['month'] + ' ' + entrycont['year'] + '.')
+                else:
+                    entry.append(entrycont['year'] + '.')
+            if entrycont.has_key('note') and (entrycont['note'] != ''):
+                entry.append(entrycont['note'] + '.')
+            if entrycont.has_key('url') and (entrycont['url'] != ''):
+                entry.append(entrycont['url'] + '.')
+
+            # generate keys for sorting and for the output
+            sortkey = ''
+            bibkey = ''
+            if entrycont.has_key('author'):
+                for author in entrycont['author']['list']:
+                    sortkey += copychars(author, author.rfind(' ')+1, len(author))
+                bibkey = entrycont['author']['abbrev']
+            else:
+                bibkey = 'x'
+            if entrycont.has_key('year'):
+                sortkey += entrycont['year']
+                bibkey += entrycont['year'][-2:]
+            if entrycont.has_key('title'):
+                sortkey += entrycont['title']
+            if entrycont.has_key('key'):
+                sortkey = entrycont['key'] + sortkey
+                bibkey = entrycont['key']
+            entry.insert(0, sortkey)
+            entry.insert(1, bibkey)
+            entry.insert(2, entryid)
+           
+            # add the entry to the file contents
+            filecont.append(entry)
+
+        else:
+            # field, publication info
+            field = ''
+            data = ''
+            
+            # field = {data} entries
+            if bracedata_rex.match(line):
+                field = bracefield_rex.sub('\g<1>', line)
+                field = string.lower(field)
+                data =  bracedata_rex.sub('\g<2>', line)
+
+            # field = "data" entries
+            elif quotedata_rex.match(line):
+                field = quotefield_rex.sub('\g<1>', line)
+                field = string.lower(field)
+                data =  quotedata_rex.sub('\g<2>', line)
+
+            # field = data entries
+            elif data_rex.match(line):
+                field = field_rex.sub('\g<1>', line)
+                field = string.lower(field)
+                data =  data_rex.sub('\g<2>', line)
+
+            if field == 'url':
+                data = '\\url{' + data.strip() + '}'
+            
+            if field in ('author', 'editor'):
+                entrycont[field] = bibtexauthor(data)
+                line = ''
+            elif field == 'title':
+                line = bibtextitle(data, entrytype)
+            elif field != '':
+                line = removebraces(transformurls(data.strip()))
+
+            if line != '':
+                line = latexreplacements(line)
+                entrycont[field] = line
+
+
+    # sort entries
+    filecont.sort(entry_cmp)
+    
+    # count the bibtex keys
+    keytable = {}
+    counttable = {}
+    for entry in filecont:
+        bibkey = entry[1]
+        if not keytable.has_key(bibkey):
+            keytable[bibkey] = 1
+        else:
+            keytable[bibkey] += 1
+
+    for bibkey in keytable.keys():
+        counttable[bibkey] = 0
+    
+    # generate output
+    for entry in filecont:
+        # generate output key form the bibtex key
+        bibkey = entry[1]
+        entryid = entry[2]
+        if keytable[bibkey] == 1:
+            outkey = bibkey
+        else:
+            outkey = bibkey + chr(97 + counttable[bibkey])
+        counttable[bibkey] += 1
+        
+        # append the entry code to the output
+        file.append('\\section ' + entryid + ' [' + outkey + ']')
+        file.append('<div style="' + divstyle + '">')
+        for line in entry[3:]:
+            file.append(line)
+        file.append('</div>')
+        file.append('')
+
+    return file
+
+
+#
+# return 1 iff abbr is in line but not inside braces or quotes
+# assumes that abbr appears only once on the line (out of braces and quotes)
+#
+def verify_out_of_braces(line, abbr):
+
+    phrase_split = delimiter_rex.split(line)
+
+    abbr_rex = re.compile( '\\b' + abbr + '\\b', re.I)
+
+    open_brace = 0
+    open_quote = 0
+
+    for phrase in phrase_split:
+        if phrase == "{":
+            open_brace = open_brace + 1
+        elif phrase == "}":
+            open_brace = open_brace - 1
+        elif phrase == '"':
+            if open_quote == 1:
+                open_quote = 0
+            else:
+                open_quote = 1
+        elif abbr_rex.search(phrase):
+            if open_brace == 0 and open_quote == 0:
+                return 1
+
+    return 0
+
+
+#
+# a line in the form phrase1 # phrase2 # ... # phrasen
+# is returned as phrase1 phrase2 ... phrasen
+# with the correct punctuation
+# Bug: Doesn't always work with multiple abbreviations plugged in
+#
+def concat_line(line):
+    # only look at part after equals
+    field = field_rex.sub('\g<1>',line)
+    rest = field_rex.sub('\g<2>',line)
+
+    concat_line = field + ' ='
+
+    pound_split = concatsplit_rex.split(rest)
+
+    phrase_count = 0
+    length = len(pound_split)
+
+    for phrase in pound_split:
+        phrase = phrase.strip()
+        if phrase_count != 0:
+            if phrase.startswith('"') or phrase.startswith('{'):
+                phrase = phrase[1:]
+        elif phrase.startswith('"'):
+            phrase = phrase.replace('"','{',1)
+
+        if phrase_count != length-1:
+            if phrase.endswith('"') or phrase.endswith('}'):
+                phrase = phrase[:-1]
+        else:
+            if phrase.endswith('"'):
+                phrase = phrase[:-1]
+                phrase = phrase + "}"
+            elif phrase.endswith('",'):
+                phrase = phrase[:-2]
+                phrase = phrase + "},"
+
+        # if phrase did have \#, add the \# back
+        if phrase.endswith('\\'):
+            phrase = phrase + "#"
+        concat_line = concat_line + ' ' + phrase
+
+        phrase_count = phrase_count + 1
+
+    return concat_line
+
+
+#
+# substitute abbreviations into filecont
+# @param filecont_source - string of data from file
+#
+def bibtex_replace_abbreviations(filecont_source):
+    filecont = filecont_source.splitlines()
+
+    #  These are defined in bibtex, so we'll define them too
+    abbr_list = ['jan','feb','mar','apr','may','jun',
+                 'jul','aug','sep','oct','nov','dec']
+    value_list = ['January','February','March','April',
+                  'May','June','July','August','September',
+                  'October','November','December']
+
+    abbr_rex = []
+    total_abbr_count = 0
+
+    front = '\\b'
+    back = '(,?)\\b'
+
+    for x in abbr_list:
+        abbr_rex.append( re.compile( front + abbr_list[total_abbr_count] + back, re.I ) )
+        total_abbr_count = total_abbr_count + 1
+
+
+    abbrdef_rex = re.compile('\s*@string\s*{\s*('+ valid_name_chars +'*)\s*=(.*)',
+                             re.I)
+
+    comment_rex = re.compile('@comment\s*{',re.I)
+    preamble_rex = re.compile('@preamble\s*{',re.I)
+
+    waiting_for_end_string = 0
+    i = 0
+    filecont2 = ''
+
+    for line in filecont:
+        if line == ' ' or line == '':
+            continue
+
+        if waiting_for_end_string:
+            if re.search('}',line):
+                waiting_for_end_string = 0
+                continue
+
+        if abbrdef_rex.search(line):
+            abbr = abbrdef_rex.sub('\g<1>', line)
+
+            if abbr_list.count(abbr) == 0:
+                val = abbrdef_rex.sub('\g<2>', line)
+                abbr_list.append(abbr)
+                value_list.append(string.strip(val))
+                abbr_rex.append( re.compile( front + abbr_list[total_abbr_count] + back, re.I ) )
+                total_abbr_count = total_abbr_count + 1
+            waiting_for_end_string = 1
+            continue
+
+        if comment_rex.search(line):
+            waiting_for_end_string = 1
+            continue
+
+        if preamble_rex.search(line):
+            waiting_for_end_string = 1
+            continue
+
+
+        # replace subsequent abbreviations with the value
+        abbr_count = 0
+
+        for x in abbr_list:
+
+            if abbr_rex[abbr_count].search(line):
+                if verify_out_of_braces(line,abbr_list[abbr_count]) == 1:
+                    line = abbr_rex[abbr_count].sub( value_list[abbr_count] + '\g<1>', line)
+                # Check for # concatenations
+                if concatsplit_rex.search(line):
+                    line = concat_line(line)
+            abbr_count = abbr_count + 1
+
+
+        filecont2 = filecont2 + line + '\n'
+        i = i+1
+
+
+    # Do one final pass over file
+
+    # make sure that didn't end up with {" or }" after the substitution
+    filecont2 = filecont2.replace('{"','{{')
+    filecont2 = filecont2.replace('"}','}}')
+
+    afterquotevalue_rex = re.compile('"\s*,\s*')
+    afterbrace_rex = re.compile('"\s*}')
+    afterbracevalue_rex = re.compile('(=\s*{[^=]*)},\s*')
+
+    # add new lines to data that changed because of abbreviation substitutions
+    filecont2 = afterquotevalue_rex.sub('",\n', filecont2)
+    filecont2 = afterbrace_rex.sub('"\n}', filecont2)
+    filecont2 = afterbracevalue_rex.sub('\g<1>},\n', filecont2)
+
+    return filecont2
+
+#
+# convert @type( ... ) to @type{ ... }
+#
+def no_outer_parens(filecont):
+
+    # do checking for open parens
+    # will convert to braces
+    paren_split = re.split('([(){}])',filecont)
+
+    open_paren_count = 0
+    open_type = 0
+    look_next = 0
+
+    # rebuild filecont
+    filecont = ''
+
+    at_rex = re.compile('@\w*')
+
+    for phrase in paren_split:
+        if look_next == 1:
+            if phrase == '(':
+                phrase = '{'
+                open_paren_count = open_paren_count + 1
+            else:
+                open_type = 0
+            look_next = 0
+
+        if phrase == '(':
+            open_paren_count = open_paren_count + 1
+
+        elif phrase == ')':
+            open_paren_count = open_paren_count - 1
+            if open_type == 1 and open_paren_count == 0:
+                phrase = '}'
+                open_type = 0
+
+        elif at_rex.search( phrase ):
+            open_type = 1
+            look_next = 1
+
+        filecont = filecont + phrase
+
+    return filecont
+
+
+#
+# make all whitespace into just one space
+# format the bibtex file into a usable form.
+#
+def bibtexwasher(filecont_source):
+
+    space_rex = re.compile('\s+')
+    comment_rex = re.compile('\s*%')
+
+    filecont = []
+
+    # remove trailing and excessive whitespace
+    # ignore comments
+    for line in filecont_source:
+        line = string.strip(line)
+        line = space_rex.sub(' ', line)
+        # ignore comments
+        if not comment_rex.match(line) and line != '':
+            filecont.append(' '+ line)
+
+    filecont = string.join(filecont, '')
+
+    # the file is in one long string
+
+    filecont = no_outer_parens(filecont)
+
+    #
+    # split lines according to preferred syntax scheme
+    #
+    filecont = re.sub('(=\s*{[^=]*)},', '\g<1>},\n', filecont)
+
+    # add new lines after commas that are after values
+    filecont = re.sub('"\s*,', '",\n', filecont)
+    filecont = re.sub('=\s*([\w\d]+)\s*,', '= \g<1>,\n', filecont)
+    filecont = re.sub('(@\w*)\s*({(\s*)[^,\s]*)\s*,',
+                          '\n\n\g<1>\g<2>,\n', filecont)
+
+    # add new lines after }
+    filecont = re.sub('"\s*}','"\n}\n', filecont)
+    filecont = re.sub('}\s*,','},\n', filecont)
+
+
+    filecont = re.sub('@(\w*)', '\n@\g<1>', filecont)
+
+    # character encoding, reserved latex characters
+    filecont = re.sub('{\\\&}', '&', filecont)
+    filecont = re.sub('\\\&', '&', filecont)
+
+    # do checking for open braces to get format correct
+    open_brace_count = 0
+    brace_split = re.split('([{}])',filecont)
+
+    # rebuild filecont
+    filecont = ''
+
+    for phrase in brace_split:
+        if phrase == '{':
+            open_brace_count = open_brace_count + 1
+        elif phrase == '}':
+            open_brace_count = open_brace_count - 1
+            if open_brace_count == 0:
+                filecont = filecont + '\n'
+
+        filecont = filecont + phrase
+
+    filecont2 = bibtex_replace_abbreviations(filecont)
+
+    # gather
+    filecont = filecont2.splitlines()
+    i=0
+    j=0         # count the number of blank lines
+    for line in filecont:
+        # ignore blank lines
+        if line == '' or line == ' ':
+            j = j+1
+            continue
+        filecont[i] = line + '\n'
+        i = i+1
+
+    # get rid of the extra stuff at the end of the array
+    # (The extra stuff are duplicates that are in the array because
+    # blank lines were removed.)
+    length = len( filecont)
+    filecont[length-j:length] = []
+
+    return filecont
+
+
+def filehandler(filepath):
+    try:
+        fd = open(filepath, 'r')
+        filecont_source = fd.readlines()
+        fd.close()
+    except:
+        print 'Could not open file:', filepath
+    washeddata = bibtexwasher(filecont_source)
+    outdata = bibtexdecoder(washeddata)
+    print '/**'
+    print '\page references References'
+    print
+    for line in outdata:
+        print line
+    print '*/'
+
+
+# main program
+
+def main():
+    import sys
+    if sys.argv[1:]:
+        filepath = sys.argv[1]
+    else:
+        print "No input file"
+        sys.exit()
+    filehandler(filepath)
+
+if __name__ == "__main__": main()
+
+
+# end python script
diff -r 994c7df296c9 -r 1b89e29c9fc7 scripts/bootstrap.sh
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/scripts/bootstrap.sh	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,142 @@
+#!/bin/bash
+#
+# This file is a part of LEMON, a generic C++ optimization library.
+#
+# Copyright (C) 2003-2009
+# Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+# (Egervary Research Group on Combinatorial Optimization, EGRES).
+#
+# Permission to use, modify and distribute this software is granted
+# provided that this copyright notice appears in all copies. For
+# precise terms see the accompanying LICENSE file.
+#
+# This software is provided "AS IS" with no warranty of any kind,
+# express or implied, and with no claim as to its suitability for any
+# purpose.
+
+
+if [ ! -f ~/.lemon-bootstrap ]; then
+    echo 'Create ~/.lemon-bootstrap'.
+    cat >~/.lemon-bootstrap <<EOF
+#
+# Default settings for bootstraping the LEMON source code repository
+#
+EOF
+fi
+
+source ~/.lemon-bootstrap
+if [ -f ../../../.lemon-bootstrap ]; then source ../../../.lemon-bootstrap; fi
+if [ -f ../../.lemon-bootstrap ]; then source ../../.lemon-bootstrap; fi
+if [ -f ../.lemon-bootstrap ]; then source ../.lemon-bootstrap; fi
+if [ -f ./.lemon-bootstrap ]; then source ./.lemon-bootstrap; fi
+
+
+function augment_config() { 
+    if [ "x${!1}" == "x" ]; then
+        eval $1=$2
+        echo Add "'$1'" to '~/.lemon-bootstrap'.
+        echo >>~/.lemon-bootstrap
+        echo $3 >>~/.lemon-bootstrap
+        echo $1=$2 >>~/.lemon-bootstrap
+    fi
+}
+
+augment_config LEMON_INSTALL_PREFIX /usr/local \
+    "# LEMON installation prefix"
+
+augment_config COIN_OR_PREFIX /usr/local/coin-or \
+    "# COIN-OR installation root prefix (used for CLP/CBC)"
+
+augment_config SOPLEX_PREFIX /usr/local/soplex \
+    "# Soplex build prefix"
+
+
+function ask() {
+echo -n "$1 [$2]? "
+read _an
+if [ "x$_an" == "x" ]; then
+    ret="$2"
+else
+    ret=$_an
+fi
+}
+
+function yesorno() {
+    ret='rossz'
+    while [ "$ret" != "y" -a "$ret" != "n" -a "$ret" != "yes" -a "$ret" != "no" ]; do
+        ask "$1" "$2"
+    done
+    if [ "$ret" != "y" -a "$ret" != "yes" ]; then
+        return 1
+    else
+        return 0
+    fi
+}
+
+if yesorno "External build" "n"
+then
+    CONFIGURE_PATH=".."
+else
+    CONFIGURE_PATH="."
+    if yesorno "Autoreconf" "y"
+    then
+        AUTORE=yes
+    else
+        AUTORE=no
+    fi
+fi
+
+if yesorno "Optimize" "n" 
+then
+    opt_flags=' -O2'
+else
+    opt_flags=''
+fi
+
+if yesorno "Stop on warning" "y" 
+then
+    werror_flags=' -Werror'
+else
+    werror_flags=''
+fi
+
+cxx_flags="CXXFLAGS=-ggdb$opt_flags$werror_flags"
+
+if yesorno "Check with valgrind" "n" 
+then
+    valgrind_flags=' --enable-valgrind'
+else
+    valgrind_flags=''
+fi
+
+if [ -f ${COIN_OR_PREFIX}/include/coin/config_coinutils.h ]; then
+    if yesorno "Use COIN-OR (CBC/CLP)" "n"
+    then
+        coin_flag="--with-coin=$COIN_OR_PREFIX"
+    else
+        coin_flag=""
+    fi
+else
+    coin_flag=""        
+fi
+
+if [ -f ${SOPLEX_PREFIX}/src/soplex.h ]; then
+    if yesorno "Use Soplex" "n"
+    then
+        soplex_flag="--with-soplex=$SOPLEX_PREFIX"
+    else
+        soplex_flag=""
+    fi
+else
+    soplex_flag=""
+fi
+
+if [ "x$AUTORE" == "xyes" ]; then
+    autoreconf -vif;
+fi
+${CONFIGURE_PATH}/configure --prefix=$LEMON_INSTALL_PREFIX \
+$valgrind_flags \
+"$cxx_flags" \
+$coin_flag \
+$soplex_flag \
+$*
diff -r 994c7df296c9 -r 1b89e29c9fc7 scripts/chg-len.py
--- a/scripts/chg-len.py	Thu Dec 10 17:05:35 2009 +0100
+++ b/scripts/chg-len.py	Thu Dec 10 17:18:25 2009 +0100
@@ -1,4 +1,18 @@
 #! /usr/bin/env python
+#
+# This file is a part of LEMON, a generic C++ optimization library.
+#
+# Copyright (C) 2003-2009
+# Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+# (Egervary Research Group on Combinatorial Optimization, EGRES).
+#
+# Permission to use, modify and distribute this software is granted
+# provided that this copyright notice appears in all copies. For
+# precise terms see the accompanying LICENSE file.
+#
+# This software is provided "AS IS" with no warranty of any kind,
+# express or implied, and with no claim as to its suitability for any
+# purpose.
 
 import sys
 
diff -r 994c7df296c9 -r 1b89e29c9fc7 scripts/mk-release.sh
--- a/scripts/mk-release.sh	Thu Dec 10 17:05:35 2009 +0100
+++ b/scripts/mk-release.sh	Thu Dec 10 17:18:25 2009 +0100
@@ -1,4 +1,18 @@
 #!/bin/bash
+#
+# This file is a part of LEMON, a generic C++ optimization library.
+#
+# Copyright (C) 2003-2009
+# Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+# (Egervary Research Group on Combinatorial Optimization, EGRES).
+#
+# Permission to use, modify and distribute this software is granted
+# provided that this copyright notice appears in all copies. For
+# precise terms see the accompanying LICENSE file.
+#
+# This software is provided "AS IS" with no warranty of any kind,
+# express or implied, and with no claim as to its suitability for any
+# purpose.
 
 set -e
 
diff -r 994c7df296c9 -r 1b89e29c9fc7 scripts/unify-sources.sh
--- a/scripts/unify-sources.sh	Thu Dec 10 17:05:35 2009 +0100
+++ b/scripts/unify-sources.sh	Thu Dec 10 17:18:25 2009 +0100
@@ -1,4 +1,18 @@
 #!/bin/bash
+#
+# This file is a part of LEMON, a generic C++ optimization library.
+#
+# Copyright (C) 2003-2009
+# Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+# (Egervary Research Group on Combinatorial Optimization, EGRES).
+#
+# Permission to use, modify and distribute this software is granted
+# provided that this copyright notice appears in all copies. For
+# precise terms see the accompanying LICENSE file.
+#
+# This software is provided "AS IS" with no warranty of any kind,
+# express or implied, and with no claim as to its suitability for any
+# purpose.
 
 YEAR=`date +%Y`
 HGROOT=`hg root`
diff -r 994c7df296c9 -r 1b89e29c9fc7 scripts/valgrind-wrapper.sh
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/scripts/valgrind-wrapper.sh	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,22 @@
+#!/bin/sh
+
+# Run in valgrind, with leak checking enabled
+
+valgrind -q --leak-check=full "$@" 2> .valgrind-log
+
+# Save the test result
+
+result="$?"
+
+# Valgrind should generate no error messages
+
+log_contents="`cat .valgrind-log`"
+
+if [ "$log_contents" != "" ]; then
+        cat .valgrind-log >&2
+        result=1
+fi
+
+rm -f .valgrind-log
+
+exit $result
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/CMakeLists.txt
--- a/test/CMakeLists.txt	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/CMakeLists.txt	Thu Dec 10 17:18:25 2009 +0100
@@ -9,6 +9,7 @@
 
 SET(TESTS
   adaptors_test
+  bellman_ford_test
   bfs_test
   circulation_test
   connectivity_test
@@ -31,7 +32,9 @@
   matching_test
   min_cost_arborescence_test
   min_cost_flow_test
+  min_mean_cycle_test
   path_test
+  planarity_test
   preflow_test
   radix_sort_test
   random_test
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/Makefile.am
--- a/test/Makefile.am	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/Makefile.am	Thu Dec 10 17:18:25 2009 +0100
@@ -1,3 +1,7 @@
+if USE_VALGRIND
+TESTS_ENVIRONMENT=$(top_srcdir)/scripts/valgrind-wrapper.sh
+endif
+
 EXTRA_DIST += \
 	test/CMakeLists.txt
 
@@ -7,6 +11,7 @@
 
 check_PROGRAMS += \
 	test/adaptors_test \
+	test/bellman_ford_test \
 	test/bfs_test \
 	test/circulation_test \
 	test/connectivity_test \
@@ -29,7 +34,9 @@
 	test/matching_test \
 	test/min_cost_arborescence_test \
 	test/min_cost_flow_test \
+	test/min_mean_cycle_test \
 	test/path_test \
+	test/planarity_test \
 	test/preflow_test \
 	test/radix_sort_test \
 	test/random_test \
@@ -52,6 +59,7 @@
 XFAIL_TESTS += test/test_tools_fail$(EXEEXT)
 
 test_adaptors_test_SOURCES = test/adaptors_test.cc
+test_bellman_ford_test_SOURCES = test/bellman_ford_test.cc
 test_bfs_test_SOURCES = test/bfs_test.cc
 test_circulation_test_SOURCES = test/circulation_test.cc
 test_counter_test_SOURCES = test/counter_test.cc
@@ -76,7 +84,9 @@
 test_matching_test_SOURCES = test/matching_test.cc
 test_min_cost_arborescence_test_SOURCES = test/min_cost_arborescence_test.cc
 test_min_cost_flow_test_SOURCES = test/min_cost_flow_test.cc
+test_min_mean_cycle_test_SOURCES = test/min_mean_cycle_test.cc
 test_path_test_SOURCES = test/path_test.cc
+test_planarity_test_SOURCES = test/planarity_test.cc
 test_preflow_test_SOURCES = test/preflow_test.cc
 test_radix_sort_test_SOURCES = test/radix_sort_test.cc
 test_suurballe_test_SOURCES = test/suurballe_test.cc
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/adaptors_test.cc
--- a/test/adaptors_test.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/adaptors_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -1371,51 +1371,43 @@
   GridGraph::Node n4 = graph(1,1);
 
   GridGraph::EdgeMap<bool> dir_map(graph);
-  dir_map[graph.right(n1)] = graph.u(graph.right(n1)) == n1;
-  dir_map[graph.up(n1)] = graph.u(graph.up(n1)) != n1;
-  dir_map[graph.left(n4)] = graph.u(graph.left(n4)) != n4;
-  dir_map[graph.down(n4)] = graph.u(graph.down(n4)) != n4;
+  dir_map[graph.right(n1)] = graph.u(graph.right(n1)) != n1;
+  dir_map[graph.up(n1)] = graph.u(graph.up(n1)) == n1;
+  dir_map[graph.left(n4)] = graph.u(graph.left(n4)) == n4;
+  dir_map[graph.down(n4)] = graph.u(graph.down(n4)) == n4;
 
   // Apply several adaptors on the grid graph
-  typedef SplitNodes< ReverseDigraph< const Orienter<
-            const GridGraph, GridGraph::EdgeMap<bool> > > >
-    RevSplitGridGraph;
-  typedef ReverseDigraph<const RevSplitGridGraph> SplitGridGraph;
+  typedef SplitNodes<Orienter< const GridGraph, GridGraph::EdgeMap<bool> > >
+    SplitGridGraph;
   typedef Undirector<const SplitGridGraph> USplitGridGraph;
-  typedef Undirector<const USplitGridGraph> UUSplitGridGraph;
-  checkConcept<concepts::Digraph, RevSplitGridGraph>();
   checkConcept<concepts::Digraph, SplitGridGraph>();
   checkConcept<concepts::Graph, USplitGridGraph>();
-  checkConcept<concepts::Graph, UUSplitGridGraph>();
 
-  RevSplitGridGraph rev_adaptor =
-    splitNodes(reverseDigraph(orienter(graph, dir_map)));
-  SplitGridGraph adaptor = reverseDigraph(rev_adaptor);
+  SplitGridGraph adaptor = splitNodes(orienter(graph, dir_map));
   USplitGridGraph uadaptor = undirector(adaptor);
-  UUSplitGridGraph uuadaptor = undirector(uadaptor);
 
   // Check adaptor
   checkGraphNodeList(adaptor, 8);
   checkGraphArcList(adaptor, 8);
   checkGraphConArcList(adaptor, 8);
 
-  checkGraphOutArcList(adaptor, rev_adaptor.inNode(n1), 1);
-  checkGraphOutArcList(adaptor, rev_adaptor.outNode(n1), 1);
-  checkGraphOutArcList(adaptor, rev_adaptor.inNode(n2), 2);
-  checkGraphOutArcList(adaptor, rev_adaptor.outNode(n2), 1);
-  checkGraphOutArcList(adaptor, rev_adaptor.inNode(n3), 1);
-  checkGraphOutArcList(adaptor, rev_adaptor.outNode(n3), 1);
-  checkGraphOutArcList(adaptor, rev_adaptor.inNode(n4), 0);
-  checkGraphOutArcList(adaptor, rev_adaptor.outNode(n4), 1);
+  checkGraphOutArcList(adaptor, adaptor.inNode(n1), 1);
+  checkGraphOutArcList(adaptor, adaptor.outNode(n1), 1);
+  checkGraphOutArcList(adaptor, adaptor.inNode(n2), 1);
+  checkGraphOutArcList(adaptor, adaptor.outNode(n2), 0);
+  checkGraphOutArcList(adaptor, adaptor.inNode(n3), 1);
+  checkGraphOutArcList(adaptor, adaptor.outNode(n3), 1);
+  checkGraphOutArcList(adaptor, adaptor.inNode(n4), 1);
+  checkGraphOutArcList(adaptor, adaptor.outNode(n4), 2);
 
-  checkGraphInArcList(adaptor, rev_adaptor.inNode(n1), 1);
-  checkGraphInArcList(adaptor, rev_adaptor.outNode(n1), 1);
-  checkGraphInArcList(adaptor, rev_adaptor.inNode(n2), 1);
-  checkGraphInArcList(adaptor, rev_adaptor.outNode(n2), 0);
-  checkGraphInArcList(adaptor, rev_adaptor.inNode(n3), 1);
-  checkGraphInArcList(adaptor, rev_adaptor.outNode(n3), 1);
-  checkGraphInArcList(adaptor, rev_adaptor.inNode(n4), 1);
-  checkGraphInArcList(adaptor, rev_adaptor.outNode(n4), 2);
+  checkGraphInArcList(adaptor, adaptor.inNode(n1), 1);
+  checkGraphInArcList(adaptor, adaptor.outNode(n1), 1);
+  checkGraphInArcList(adaptor, adaptor.inNode(n2), 2);
+  checkGraphInArcList(adaptor, adaptor.outNode(n2), 1);
+  checkGraphInArcList(adaptor, adaptor.inNode(n3), 1);
+  checkGraphInArcList(adaptor, adaptor.outNode(n3), 1);
+  checkGraphInArcList(adaptor, adaptor.inNode(n4), 0);
+  checkGraphInArcList(adaptor, adaptor.outNode(n4), 1);
 
   checkNodeIds(adaptor);
   checkArcIds(adaptor);
@@ -1438,29 +1430,14 @@
   checkGraphEdgeMap(uadaptor);
   checkGraphArcMap(uadaptor);
 
-  checkGraphIncEdgeArcLists(uadaptor, rev_adaptor.inNode(n1), 2);
-  checkGraphIncEdgeArcLists(uadaptor, rev_adaptor.outNode(n1), 2);
-  checkGraphIncEdgeArcLists(uadaptor, rev_adaptor.inNode(n2), 3);
-  checkGraphIncEdgeArcLists(uadaptor, rev_adaptor.outNode(n2), 1);
-  checkGraphIncEdgeArcLists(uadaptor, rev_adaptor.inNode(n3), 2);
-  checkGraphIncEdgeArcLists(uadaptor, rev_adaptor.outNode(n3), 2);
-  checkGraphIncEdgeArcLists(uadaptor, rev_adaptor.inNode(n4), 1);
-  checkGraphIncEdgeArcLists(uadaptor, rev_adaptor.outNode(n4), 3);
-
-  // Check uuadaptor
-  checkGraphNodeList(uuadaptor, 8);
-  checkGraphEdgeList(uuadaptor, 16);
-  checkGraphArcList(uuadaptor, 32);
-  checkGraphConEdgeList(uuadaptor, 16);
-  checkGraphConArcList(uuadaptor, 32);
-
-  checkNodeIds(uuadaptor);
-  checkEdgeIds(uuadaptor);
-  checkArcIds(uuadaptor);
-
-  checkGraphNodeMap(uuadaptor);
-  checkGraphEdgeMap(uuadaptor);
-  checkGraphArcMap(uuadaptor);
+  checkGraphIncEdgeArcLists(uadaptor, adaptor.inNode(n1), 2);
+  checkGraphIncEdgeArcLists(uadaptor, adaptor.outNode(n1), 2);
+  checkGraphIncEdgeArcLists(uadaptor, adaptor.inNode(n2), 3);
+  checkGraphIncEdgeArcLists(uadaptor, adaptor.outNode(n2), 1);
+  checkGraphIncEdgeArcLists(uadaptor, adaptor.inNode(n3), 2);
+  checkGraphIncEdgeArcLists(uadaptor, adaptor.outNode(n3), 2);
+  checkGraphIncEdgeArcLists(uadaptor, adaptor.inNode(n4), 1);
+  checkGraphIncEdgeArcLists(uadaptor, adaptor.outNode(n4), 3);
 }
 
 int main(int, const char **) {
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/bellman_ford_test.cc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test/bellman_ford_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,285 @@
+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2009
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#include <lemon/concepts/digraph.h>
+#include <lemon/smart_graph.h>
+#include <lemon/list_graph.h>
+#include <lemon/lgf_reader.h>
+#include <lemon/bellman_ford.h>
+#include <lemon/path.h>
+
+#include "graph_test.h"
+#include "test_tools.h"
+
+using namespace lemon;
+
+char test_lgf[] =
+  "@nodes\n"
+  "label\n"
+  "0\n"
+  "1\n"
+  "2\n"
+  "3\n"
+  "4\n"
+  "@arcs\n"
+  "    length\n"
+  "0 1 3\n"
+  "1 2 -3\n"
+  "1 2 -5\n"
+  "1 3 -2\n"
+  "0 2 -1\n"
+  "1 2 -4\n"
+  "0 3 2\n"
+  "4 2 -5\n"
+  "2 3 1\n"
+  "@attributes\n"
+  "source 0\n"
+  "target 3\n";
+
+
+void checkBellmanFordCompile()
+{
+  typedef int Value;
+  typedef concepts::Digraph Digraph;
+  typedef concepts::ReadMap<Digraph::Arc,Value> LengthMap;
+  typedef BellmanFord<Digraph, LengthMap> BF;
+  typedef Digraph::Node Node;
+  typedef Digraph::Arc Arc;
+
+  Digraph gr;
+  Node s, t, n;
+  Arc e;
+  Value l;
+  int k=3;
+  bool b;
+  BF::DistMap d(gr);
+  BF::PredMap p(gr);
+  LengthMap length;
+  concepts::Path<Digraph> pp;
+
+  {
+    BF bf_test(gr,length);
+    const BF& const_bf_test = bf_test;
+
+    bf_test.run(s);
+    bf_test.run(s,k);
+
+    bf_test.init();
+    bf_test.addSource(s);
+    bf_test.addSource(s, 1);
+    b = bf_test.processNextRound();
+    b = bf_test.processNextWeakRound();
+
+    bf_test.start();
+    bf_test.checkedStart();
+    bf_test.limitedStart(k);
+
+    l  = const_bf_test.dist(t);
+    e  = const_bf_test.predArc(t);
+    s  = const_bf_test.predNode(t);
+    b  = const_bf_test.reached(t);
+    d  = const_bf_test.distMap();
+    p  = const_bf_test.predMap();
+    pp = const_bf_test.path(t);
+    pp = const_bf_test.negativeCycle();
+    
+    for (BF::ActiveIt it(const_bf_test); it != INVALID; ++it) {}
+  }
+  {
+    BF::SetPredMap<concepts::ReadWriteMap<Node,Arc> >
+      ::SetDistMap<concepts::ReadWriteMap<Node,Value> >
+      ::SetOperationTraits<BellmanFordDefaultOperationTraits<Value> >
+      ::Create bf_test(gr,length);
+
+    LengthMap length_map;
+    concepts::ReadWriteMap<Node,Arc> pred_map;
+    concepts::ReadWriteMap<Node,Value> dist_map;
+    
+    bf_test
+      .lengthMap(length_map)
+      .predMap(pred_map)
+      .distMap(dist_map);
+
+    bf_test.run(s);
+    bf_test.run(s,k);
+
+    bf_test.init();
+    bf_test.addSource(s);
+    bf_test.addSource(s, 1);
+    b = bf_test.processNextRound();
+    b = bf_test.processNextWeakRound();
+
+    bf_test.start();
+    bf_test.checkedStart();
+    bf_test.limitedStart(k);
+
+    l  = bf_test.dist(t);
+    e  = bf_test.predArc(t);
+    s  = bf_test.predNode(t);
+    b  = bf_test.reached(t);
+    pp = bf_test.path(t);
+    pp = bf_test.negativeCycle();
+  }
+}
+
+void checkBellmanFordFunctionCompile()
+{
+  typedef int Value;
+  typedef concepts::Digraph Digraph;
+  typedef Digraph::Arc Arc;
+  typedef Digraph::Node Node;
+  typedef concepts::ReadMap<Digraph::Arc,Value> LengthMap;
+
+  Digraph g;
+  bool b;
+  bellmanFord(g,LengthMap()).run(Node());
+  b = bellmanFord(g,LengthMap()).run(Node(),Node());
+  bellmanFord(g,LengthMap())
+    .predMap(concepts::ReadWriteMap<Node,Arc>())
+    .distMap(concepts::ReadWriteMap<Node,Value>())
+    .run(Node());
+  b=bellmanFord(g,LengthMap())
+    .predMap(concepts::ReadWriteMap<Node,Arc>())
+    .distMap(concepts::ReadWriteMap<Node,Value>())
+    .path(concepts::Path<Digraph>())
+    .dist(Value())
+    .run(Node(),Node());
+}
+
+
+template <typename Digraph, typename Value>
+void checkBellmanFord() {
+  TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
+  typedef typename Digraph::template ArcMap<Value> LengthMap;
+
+  Digraph gr;
+  Node s, t;
+  LengthMap length(gr);
+
+  std::istringstream input(test_lgf);
+  digraphReader(gr, input).
+    arcMap("length", length).
+    node("source", s).
+    node("target", t).
+    run();
+
+  BellmanFord<Digraph, LengthMap>
+    bf(gr, length);
+  bf.run(s);
+  Path<Digraph> p = bf.path(t);
+
+  check(bf.reached(t) && bf.dist(t) == -1, "Bellman-Ford found a wrong path.");
+  check(p.length() == 3, "path() found a wrong path.");
+  check(checkPath(gr, p), "path() found a wrong path.");
+  check(pathSource(gr, p) == s, "path() found a wrong path.");
+  check(pathTarget(gr, p) == t, "path() found a wrong path.");
+  
+  ListPath<Digraph> path;
+  Value dist;
+  bool reached = bellmanFord(gr,length).path(path).dist(dist).run(s,t);
+
+  check(reached && dist == -1, "Bellman-Ford found a wrong path.");
+  check(path.length() == 3, "path() found a wrong path.");
+  check(checkPath(gr, path), "path() found a wrong path.");
+  check(pathSource(gr, path) == s, "path() found a wrong path.");
+  check(pathTarget(gr, path) == t, "path() found a wrong path.");
+
+  for(ArcIt e(gr); e!=INVALID; ++e) {
+    Node u=gr.source(e);
+    Node v=gr.target(e);
+    check(!bf.reached(u) || (bf.dist(v) - bf.dist(u) <= length[e]),
+          "Wrong output. dist(target)-dist(source)-arc_length=" <<
+          bf.dist(v) - bf.dist(u) - length[e]);
+  }
+
+  for(NodeIt v(gr); v!=INVALID; ++v) {
+    if (bf.reached(v)) {
+      check(v==s || bf.predArc(v)!=INVALID, "Wrong tree.");
+      if (bf.predArc(v)!=INVALID ) {
+        Arc e=bf.predArc(v);
+        Node u=gr.source(e);
+        check(u==bf.predNode(v),"Wrong tree.");
+        check(bf.dist(v) - bf.dist(u) == length[e],
+              "Wrong distance! Difference: " <<
+              bf.dist(v) - bf.dist(u) - length[e]);
+      }
+    }
+  }
+}
+
+void checkBellmanFordNegativeCycle() {
+  DIGRAPH_TYPEDEFS(SmartDigraph);
+
+  SmartDigraph gr;
+  IntArcMap length(gr);
+  
+  Node n1 = gr.addNode();
+  Node n2 = gr.addNode();
+  Node n3 = gr.addNode();
+  Node n4 = gr.addNode();
+  
+  Arc a1 = gr.addArc(n1, n2);
+  Arc a2 = gr.addArc(n2, n2);
+  
+  length[a1] = 2;
+  length[a2] = -1;
+  
+  {
+    BellmanFord<SmartDigraph, IntArcMap> bf(gr, length);
+    bf.run(n1);
+    StaticPath<SmartDigraph> p = bf.negativeCycle();
+    check(p.length() == 1 && p.front() == p.back() && p.front() == a2,
+          "Wrong negative cycle.");
+  }
+ 
+  length[a2] = 0;
+  
+  {
+    BellmanFord<SmartDigraph, IntArcMap> bf(gr, length);
+    bf.run(n1);
+    check(bf.negativeCycle().empty(),
+          "Negative cycle should not be found.");
+  }
+  
+  length[gr.addArc(n1, n3)] = 5;
+  length[gr.addArc(n4, n3)] = 1;
+  length[gr.addArc(n2, n4)] = 2;
+  length[gr.addArc(n3, n2)] = -4;
+  
+  {
+    BellmanFord<SmartDigraph, IntArcMap> bf(gr, length);
+    bf.init();
+    bf.addSource(n1);
+    for (int i = 0; i < 4; ++i) {
+      check(bf.negativeCycle().empty(),
+            "Negative cycle should not be found.");
+      bf.processNextRound();
+    }
+    StaticPath<SmartDigraph> p = bf.negativeCycle();
+    check(p.length() == 3, "Wrong negative cycle.");
+    check(length[p.nth(0)] + length[p.nth(1)] + length[p.nth(2)] == -1,
+          "Wrong negative cycle.");
+  }
+}
+
+int main() {
+  checkBellmanFord<ListDigraph, int>();
+  checkBellmanFord<SmartDigraph, double>();
+  checkBellmanFordNegativeCycle();
+  return 0;
+}
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/circulation_test.cc
--- a/test/circulation_test.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/circulation_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -87,6 +87,11 @@
     .upperMap(ucap)
     .supplyMap(supply)
     .flowMap(flow);
+  
+  const CirculationType::Elevator& elev = const_circ_test.elevator();
+  circ_test.elevator(const_cast<CirculationType::Elevator&>(elev));
+  CirculationType::Tolerance tol = const_circ_test.tolerance();
+  circ_test.tolerance(tol);
 
   circ_test.init();
   circ_test.greedyInit();
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/digraph_test.cc
--- a/test/digraph_test.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/digraph_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -19,6 +19,7 @@
 #include <lemon/concepts/digraph.h>
 #include <lemon/list_graph.h>
 #include <lemon/smart_graph.h>
+#include <lemon/static_graph.h>
 #include <lemon/full_graph.h>
 
 #include "test_tools.h"
@@ -35,6 +36,9 @@
   checkGraphNodeList(G, 0);
   checkGraphArcList(G, 0);
 
+  G.reserveNode(3);
+  G.reserveArc(4);
+
   Node
     n1 = G.addNode(),
     n2 = G.addNode(),
@@ -283,6 +287,14 @@
   G.addArc(G.addNode(), G.addNode());
 
   snapshot.restore();
+  snapshot.save(G);
+
+  checkGraphNodeList(G, 4);
+  checkGraphArcList(G, 4);
+
+  G.addArc(G.addNode(), G.addNode());
+
+  snapshot.restore();
 
   checkGraphNodeList(G, 4);
   checkGraphArcList(G, 4);
@@ -317,6 +329,10 @@
     checkConcept<ExtendableDigraphComponent<>, SmartDigraph>();
     checkConcept<ClearableDigraphComponent<>, SmartDigraph>();
   }
+  { // Checking StaticDigraph
+    checkConcept<Digraph, StaticDigraph>();
+    checkConcept<ClearableDigraphComponent<>, StaticDigraph>();
+  }
   { // Checking FullDigraph
     checkConcept<Digraph, FullDigraph>();
   }
@@ -372,10 +388,122 @@
   check(!g.valid(g.arcFromId(-1)), "Wrong validity check");
 }
 
+void checkStaticDigraph() {
+  SmartDigraph g;
+  SmartDigraph::NodeMap<StaticDigraph::Node> nref(g);
+  SmartDigraph::ArcMap<StaticDigraph::Arc> aref(g);
+  
+  StaticDigraph G;
+  
+  checkGraphNodeList(G, 0);
+  checkGraphArcList(G, 0);
+
+  G.build(g, nref, aref);
+
+  checkGraphNodeList(G, 0);
+  checkGraphArcList(G, 0);
+
+  SmartDigraph::Node
+    n1 = g.addNode(),
+    n2 = g.addNode(),
+    n3 = g.addNode();
+
+  G.build(g, nref, aref);
+
+  checkGraphNodeList(G, 3);
+  checkGraphArcList(G, 0);
+
+  SmartDigraph::Arc a1 = g.addArc(n1, n2);
+
+  G.build(g, nref, aref);
+
+  check(G.source(aref[a1]) == nref[n1] && G.target(aref[a1]) == nref[n2],
+        "Wrong arc or wrong references");
+  checkGraphNodeList(G, 3);
+  checkGraphArcList(G, 1);
+
+  checkGraphOutArcList(G, nref[n1], 1);
+  checkGraphOutArcList(G, nref[n2], 0);
+  checkGraphOutArcList(G, nref[n3], 0);
+
+  checkGraphInArcList(G, nref[n1], 0);
+  checkGraphInArcList(G, nref[n2], 1);
+  checkGraphInArcList(G, nref[n3], 0);
+
+  checkGraphConArcList(G, 1);
+
+  SmartDigraph::Arc
+    a2 = g.addArc(n2, n1),
+    a3 = g.addArc(n2, n3),
+    a4 = g.addArc(n2, n3);
+
+  digraphCopy(g, G).nodeRef(nref).run();
+
+  checkGraphNodeList(G, 3);
+  checkGraphArcList(G, 4);
+
+  checkGraphOutArcList(G, nref[n1], 1);
+  checkGraphOutArcList(G, nref[n2], 3);
+  checkGraphOutArcList(G, nref[n3], 0);
+
+  checkGraphInArcList(G, nref[n1], 1);
+  checkGraphInArcList(G, nref[n2], 1);
+  checkGraphInArcList(G, nref[n3], 2);
+
+  checkGraphConArcList(G, 4);
+
+  std::vector<std::pair<int,int> > arcs;
+  arcs.push_back(std::make_pair(0,1));
+  arcs.push_back(std::make_pair(0,2));
+  arcs.push_back(std::make_pair(1,3));
+  arcs.push_back(std::make_pair(1,2));
+  arcs.push_back(std::make_pair(3,0));
+  arcs.push_back(std::make_pair(3,3));
+  arcs.push_back(std::make_pair(4,2));
+  arcs.push_back(std::make_pair(4,3));
+  arcs.push_back(std::make_pair(4,1));
+
+  G.build(6, arcs.begin(), arcs.end());
+  
+  checkGraphNodeList(G, 6);
+  checkGraphArcList(G, 9);
+
+  checkGraphOutArcList(G, G.node(0), 2);
+  checkGraphOutArcList(G, G.node(1), 2);
+  checkGraphOutArcList(G, G.node(2), 0);
+  checkGraphOutArcList(G, G.node(3), 2);
+  checkGraphOutArcList(G, G.node(4), 3);
+  checkGraphOutArcList(G, G.node(5), 0);
+
+  checkGraphInArcList(G, G.node(0), 1);
+  checkGraphInArcList(G, G.node(1), 2);
+  checkGraphInArcList(G, G.node(2), 3);
+  checkGraphInArcList(G, G.node(3), 3);
+  checkGraphInArcList(G, G.node(4), 0);
+  checkGraphInArcList(G, G.node(5), 0);
+
+  checkGraphConArcList(G, 9);
+
+  checkNodeIds(G);
+  checkArcIds(G);
+  checkGraphNodeMap(G);
+  checkGraphArcMap(G);
+  
+  int n = G.nodeNum();
+  int m = G.arcNum();
+  check(G.index(G.node(n-1)) == n-1, "Wrong index.");
+  check(G.index(G.arc(m-1)) == m-1, "Wrong index.");
+}
+
 void checkFullDigraph(int num) {
   typedef FullDigraph Digraph;
   DIGRAPH_TYPEDEFS(Digraph);
+
   Digraph G(num);
+  check(G.nodeNum() == num && G.arcNum() == num * num, "Wrong size");
+
+  G.resize(num);
+  check(G.nodeNum() == num && G.arcNum() == num * num, "Wrong size");
 
   checkGraphNodeList(G, num);
   checkGraphArcList(G, num * num);
@@ -419,6 +547,9 @@
     checkDigraphSnapshot<SmartDigraph>();
     checkDigraphValidity<SmartDigraph>();
   }
+  { // Checking StaticDigraph
+    checkStaticDigraph();
+  }
   { // Checking FullDigraph
     checkFullDigraph(8);
   }
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/graph_test.cc
--- a/test/graph_test.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/graph_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -38,6 +38,9 @@
   checkGraphEdgeList(G, 0);
   checkGraphArcList(G, 0);
 
+  G.reserveNode(3);
+  G.reserveEdge(3);
+
   Node
     n1 = G.addNode(),
     n2 = G.addNode(),
@@ -256,6 +259,15 @@
   G.addEdge(G.addNode(), G.addNode());
 
   snapshot.restore();
+  snapshot.save(G);
+
+  checkGraphNodeList(G, 4);
+  checkGraphEdgeList(G, 3);
+  checkGraphArcList(G, 6);
+  
+  G.addEdge(G.addNode(), G.addNode());
+
+  snapshot.restore();
 
   checkGraphNodeList(G, 4);
   checkGraphEdgeList(G, 3);
@@ -267,6 +279,13 @@
   GRAPH_TYPEDEFS(Graph);
 
   Graph G(num);
+  check(G.nodeNum() == num && G.edgeNum() == num * (num - 1) / 2,
+        "Wrong size");
+
+  G.resize(num);
+  check(G.nodeNum() == num && G.edgeNum() == num * (num - 1) / 2,
+        "Wrong size");
+
   checkGraphNodeList(G, num);
   checkGraphEdgeList(G, num * (num - 1) / 2);
 
@@ -411,6 +430,10 @@
   check(G.width() == width, "Wrong column number");
   check(G.height() == height, "Wrong row number");
 
+  G.resize(width, height);
+  check(G.width() == width, "Wrong column number");
+  check(G.height() == height, "Wrong row number");
+
   for (int i = 0; i < width; ++i) {
     for (int j = 0; j < height; ++j) {
       check(G.col(G(i, j)) == i, "Wrong column");
@@ -486,6 +509,11 @@
   GRAPH_TYPEDEFS(HypercubeGraph);
 
   HypercubeGraph G(dim);
+  check(G.dimension() == dim, "Wrong dimension");
+
+  G.resize(dim);
+  check(G.dimension() == dim, "Wrong dimension");
+  
   checkGraphNodeList(G, 1 << dim);
   checkGraphEdgeList(G, dim * (1 << (dim-1)));
   checkGraphArcList(G, dim * (1 << dim));
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/heap_test.cc
--- a/test/heap_test.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/heap_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -25,14 +25,17 @@
 #include <lemon/concepts/heap.h>
 
 #include <lemon/smart_graph.h>
-
 #include <lemon/lgf_reader.h>
 #include <lemon/dijkstra.h>
 #include <lemon/maps.h>
 
 #include <lemon/bin_heap.h>
+#include <lemon/fourary_heap.h>
+#include <lemon/kary_heap.h>
 #include <lemon/fib_heap.h>
+#include <lemon/pairing_heap.h>
 #include <lemon/radix_heap.h>
+#include <lemon/binom_heap.h>
 #include <lemon/bucket_heap.h>
 
 #include "test_tools.h"
@@ -89,18 +92,16 @@
 template <typename Heap>
 void heapSortTest() {
   RangeMap<int> map(test_len, -1);
-
   Heap heap(map);
 
   std::vector<int> v(test_len);
-
   for (int i = 0; i < test_len; ++i) {
     v[i] = test_seq[i];
     heap.push(i, v[i]);
   }
   std::sort(v.begin(), v.end());
   for (int i = 0; i < test_len; ++i) {
-    check(v[i] == heap.prio() ,"Wrong order in heap sort.");
+    check(v[i] == heap.prio(), "Wrong order in heap sort.");
     heap.pop();
   }
 }
@@ -112,7 +113,6 @@
   Heap heap(map);
 
   std::vector<int> v(test_len);
-
   for (int i = 0; i < test_len; ++i) {
     v[i] = test_seq[i];
     heap.push(i, v[i]);
@@ -123,13 +123,11 @@
   }
   std::sort(v.begin(), v.end());
   for (int i = 0; i < test_len; ++i) {
-    check(v[i] == heap.prio() ,"Wrong order in heap increase test.");
+    check(v[i] == heap.prio(), "Wrong order in heap increase test.");
     heap.pop();
   }
 }
 
-
-
 template <typename Heap>
 void dijkstraHeapTest(const Digraph& digraph, const IntArcMap& length,
                       Node source) {
@@ -144,7 +142,7 @@
     Node t = digraph.target(a);
     if (dijkstra.reached(s)) {
       check( dijkstra.dist(t) - dijkstra.dist(s) <= length[a],
-             "Error in a shortest path tree!");
+             "Error in shortest path tree.");
     }
   }
 
@@ -153,7 +151,7 @@
       Arc a = dijkstra.predArc(n);
       Node s = digraph.source(a);
       check( dijkstra.dist(n) - dijkstra.dist(s) == length[a],
-             "Error in a shortest path tree!");
+             "Error in shortest path tree.");
     }
   }
 
@@ -175,6 +173,7 @@
     node("source", source).
     run();
 
+  // BinHeap
   {
     typedef BinHeap<Prio, ItemIntMap> IntHeap;
     checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
@@ -186,6 +185,31 @@
     dijkstraHeapTest<NodeHeap>(digraph, length, source);
   }
 
+  // FouraryHeap
+  {
+    typedef FouraryHeap<Prio, ItemIntMap> IntHeap;
+    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
+    heapSortTest<IntHeap>();
+    heapIncreaseTest<IntHeap>();
+
+    typedef FouraryHeap<Prio, IntNodeMap > NodeHeap;
+    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
+    dijkstraHeapTest<NodeHeap>(digraph, length, source);
+  }
+
+  // KaryHeap
+  {
+    typedef KaryHeap<Prio, ItemIntMap> IntHeap;
+    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
+    heapSortTest<IntHeap>();
+    heapIncreaseTest<IntHeap>();
+
+    typedef KaryHeap<Prio, IntNodeMap > NodeHeap;
+    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
+    dijkstraHeapTest<NodeHeap>(digraph, length, source);
+  }
+
+  // FibHeap
   {
     typedef FibHeap<Prio, ItemIntMap> IntHeap;
     checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
@@ -197,6 +221,19 @@
     dijkstraHeapTest<NodeHeap>(digraph, length, source);
   }
 
+  // PairingHeap
+  {
+    typedef PairingHeap<Prio, ItemIntMap> IntHeap;
+    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
+    heapSortTest<IntHeap>();
+    heapIncreaseTest<IntHeap>();
+
+    typedef PairingHeap<Prio, IntNodeMap > NodeHeap;
+    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
+    dijkstraHeapTest<NodeHeap>(digraph, length, source);
+  }
+
+  // RadixHeap
   {
     typedef RadixHeap<ItemIntMap> IntHeap;
     checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
@@ -208,6 +245,19 @@
     dijkstraHeapTest<NodeHeap>(digraph, length, source);
   }
 
+  // BinomHeap
+  {
+    typedef BinomHeap<Prio, ItemIntMap> IntHeap;
+    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
+    heapSortTest<IntHeap>();
+    heapIncreaseTest<IntHeap>();
+
+    typedef BinomHeap<Prio, IntNodeMap > NodeHeap;
+    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
+    dijkstraHeapTest<NodeHeap>(digraph, length, source);
+  }
+
+  // BucketHeap, SimpleBucketHeap
   {
     typedef BucketHeap<ItemIntMap> IntHeap;
     checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
@@ -217,8 +267,10 @@
     typedef BucketHeap<IntNodeMap > NodeHeap;
     checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
     dijkstraHeapTest<NodeHeap>(digraph, length, source);
+
+    typedef SimpleBucketHeap<ItemIntMap> SimpleIntHeap;
+    heapSortTest<SimpleIntHeap>();
   }
 
-
   return 0;
 }
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/maps_test.cc
--- a/test/maps_test.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/maps_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -22,6 +22,11 @@
 #include <lemon/concept_check.h>
 #include <lemon/concepts/maps.h>
 #include <lemon/maps.h>
+#include <lemon/list_graph.h>
+#include <lemon/smart_graph.h>
+#include <lemon/adaptors.h>
+#include <lemon/dfs.h>
+#include <algorithm>
 
 #include "test_tools.h"
 
@@ -33,9 +38,22 @@
 struct B {};
 
 class C {
-  int x;
+  int _x;
 public:
-  C(int _x) : x(_x) {}
+  C(int x) : _x(x) {}
+  int get() const { return _x; }
+};
+inline bool operator<(C c1, C c2) { return c1.get() < c2.get(); }
+inline bool operator==(C c1, C c2) { return c1.get() == c2.get(); }
+
+C createC(int x) { return C(x); }
+
+template <typename T>
+class Less {
+  T _t;
+public:
+  Less(T t): _t(t) {}
+  bool operator()(const T& t) const { return t < _t; }
 };
 
 class F {
@@ -52,6 +70,14 @@
 
 int binc(int a, B) { return a+1; }
 
+template <typename T>
+class Sum {
+  T& _sum;
+public:
+  Sum(T& sum) : _sum(sum) {}
+  void operator()(const T& t) { _sum += t; }
+};
+
 typedef ReadMap<A, double> DoubleMap;
 typedef ReadWriteMap<A, double> DoubleWriteMap;
 typedef ReferenceMap<A, double, double&, const double&> DoubleRefMap;
@@ -328,6 +354,10 @@
   // LoggerBoolMap
   {
     typedef std::vector<int> vec;
+    checkConcept<WriteMap<int, bool>, LoggerBoolMap<vec::iterator> >();
+    checkConcept<WriteMap<int, bool>,
+                 LoggerBoolMap<std::back_insert_iterator<vec> > >();
+
     vec v1;
     vec v2(10);
     LoggerBoolMap<std::back_insert_iterator<vec> >
@@ -347,7 +377,623 @@
     for ( LoggerBoolMap<vec::iterator>::Iterator it = map2.begin();
           it != map2.end(); ++it )
       check(v1[i++] == *it, "Something is wrong with LoggerBoolMap");
+    
+    typedef ListDigraph Graph;
+    DIGRAPH_TYPEDEFS(Graph);
+    Graph gr;
+
+    Node n0 = gr.addNode();
+    Node n1 = gr.addNode();
+    Node n2 = gr.addNode();
+    Node n3 = gr.addNode();
+    
+    gr.addArc(n3, n0);
+    gr.addArc(n3, n2);
+    gr.addArc(n0, n2);
+    gr.addArc(n2, n1);
+    gr.addArc(n0, n1);
+    
+    {
+      std::vector<Node> v;
+      dfs(gr).processedMap(loggerBoolMap(std::back_inserter(v))).run();
+
+      check(v.size()==4 && v[0]==n1 && v[1]==n2 && v[2]==n0 && v[3]==n3,
+            "Something is wrong with LoggerBoolMap");
+    }
+    {
+      std::vector<Node> v(countNodes(gr));
+      dfs(gr).processedMap(loggerBoolMap(v.begin())).run();
+      
+      check(v.size()==4 && v[0]==n1 && v[1]==n2 && v[2]==n0 && v[3]==n3,
+            "Something is wrong with LoggerBoolMap");
+    }
+  }
+  
+  // IdMap, RangeIdMap
+  {
+    typedef ListDigraph Graph;
+    DIGRAPH_TYPEDEFS(Graph);
+
+    checkConcept<ReadMap<Node, int>, IdMap<Graph, Node> >();
+    checkConcept<ReadMap<Arc, int>, IdMap<Graph, Arc> >();
+    checkConcept<ReadMap<Node, int>, RangeIdMap<Graph, Node> >();
+    checkConcept<ReadMap<Arc, int>, RangeIdMap<Graph, Arc> >();
+    
+    Graph gr;
+    IdMap<Graph, Node> nmap(gr);
+    IdMap<Graph, Arc> amap(gr);
+    RangeIdMap<Graph, Node> nrmap(gr);
+    RangeIdMap<Graph, Arc> armap(gr);
+    
+    Node n0 = gr.addNode();
+    Node n1 = gr.addNode();
+    Node n2 = gr.addNode();
+    
+    Arc a0 = gr.addArc(n0, n1);
+    Arc a1 = gr.addArc(n0, n2);
+    Arc a2 = gr.addArc(n2, n1);
+    Arc a3 = gr.addArc(n2, n0);
+    
+    check(nmap[n0] == gr.id(n0) && nmap(gr.id(n0)) == n0, "Wrong IdMap");
+    check(nmap[n1] == gr.id(n1) && nmap(gr.id(n1)) == n1, "Wrong IdMap");
+    check(nmap[n2] == gr.id(n2) && nmap(gr.id(n2)) == n2, "Wrong IdMap");
+
+    check(amap[a0] == gr.id(a0) && amap(gr.id(a0)) == a0, "Wrong IdMap");
+    check(amap[a1] == gr.id(a1) && amap(gr.id(a1)) == a1, "Wrong IdMap");
+    check(amap[a2] == gr.id(a2) && amap(gr.id(a2)) == a2, "Wrong IdMap");
+    check(amap[a3] == gr.id(a3) && amap(gr.id(a3)) == a3, "Wrong IdMap");
+
+    check(nmap.inverse()[gr.id(n0)] == n0, "Wrong IdMap::InverseMap");
+    check(amap.inverse()[gr.id(a0)] == a0, "Wrong IdMap::InverseMap");
+    
+    check(nrmap.size() == 3 && armap.size() == 4,
+          "Wrong RangeIdMap::size()");
+
+    check(nrmap[n0] == 0 && nrmap(0) == n0, "Wrong RangeIdMap");
+    check(nrmap[n1] == 1 && nrmap(1) == n1, "Wrong RangeIdMap");
+    check(nrmap[n2] == 2 && nrmap(2) == n2, "Wrong RangeIdMap");
+    
+    check(armap[a0] == 0 && armap(0) == a0, "Wrong RangeIdMap");
+    check(armap[a1] == 1 && armap(1) == a1, "Wrong RangeIdMap");
+    check(armap[a2] == 2 && armap(2) == a2, "Wrong RangeIdMap");
+    check(armap[a3] == 3 && armap(3) == a3, "Wrong RangeIdMap");
+
+    check(nrmap.inverse()[0] == n0, "Wrong RangeIdMap::InverseMap");
+    check(armap.inverse()[0] == a0, "Wrong RangeIdMap::InverseMap");
+    
+    gr.erase(n1);
+    
+    if (nrmap[n0] == 1) nrmap.swap(n0, n2);
+    nrmap.swap(n2, n0);
+    if (armap[a1] == 1) armap.swap(a1, a3);
+    armap.swap(a3, a1);
+    
+    check(nrmap.size() == 2 && armap.size() == 2,
+          "Wrong RangeIdMap::size()");
+
+    check(nrmap[n0] == 1 && nrmap(1) == n0, "Wrong RangeIdMap");
+    check(nrmap[n2] == 0 && nrmap(0) == n2, "Wrong RangeIdMap");
+    
+    check(armap[a1] == 1 && armap(1) == a1, "Wrong RangeIdMap");
+    check(armap[a3] == 0 && armap(0) == a3, "Wrong RangeIdMap");
+
+    check(nrmap.inverse()[0] == n2, "Wrong RangeIdMap::InverseMap");
+    check(armap.inverse()[0] == a3, "Wrong RangeIdMap::InverseMap");
+  }
+  
+  // SourceMap, TargetMap, ForwardMap, BackwardMap, InDegMap, OutDegMap
+  {
+    typedef ListGraph Graph;
+    GRAPH_TYPEDEFS(Graph);
+    
+    checkConcept<ReadMap<Arc, Node>, SourceMap<Graph> >();
+    checkConcept<ReadMap<Arc, Node>, TargetMap<Graph> >();
+    checkConcept<ReadMap<Edge, Arc>, ForwardMap<Graph> >();
+    checkConcept<ReadMap<Edge, Arc>, BackwardMap<Graph> >();
+    checkConcept<ReadMap<Node, int>, InDegMap<Graph> >();
+    checkConcept<ReadMap<Node, int>, OutDegMap<Graph> >();
+
+    Graph gr;
+    Node n0 = gr.addNode();
+    Node n1 = gr.addNode();
+    Node n2 = gr.addNode();
+    
+    gr.addEdge(n0,n1);
+    gr.addEdge(n1,n2);
+    gr.addEdge(n0,n2);
+    gr.addEdge(n2,n1);
+    gr.addEdge(n1,n2);
+    gr.addEdge(n0,n1);
+    
+    for (EdgeIt e(gr); e != INVALID; ++e) {
+      check(forwardMap(gr)[e] == gr.direct(e, true), "Wrong ForwardMap");
+      check(backwardMap(gr)[e] == gr.direct(e, false), "Wrong BackwardMap");
+    }
+    
+    check(mapCompare(gr,
+          sourceMap(orienter(gr, constMap<Edge, bool>(true))),
+          targetMap(orienter(gr, constMap<Edge, bool>(false)))),
+          "Wrong SourceMap or TargetMap");
+
+    typedef Orienter<Graph, const ConstMap<Edge, bool> > Digraph;
+    Digraph dgr(gr, constMap<Edge, bool>(true));
+    OutDegMap<Digraph> odm(dgr);
+    InDegMap<Digraph> idm(dgr);
+    
+    check(odm[n0] == 3 && odm[n1] == 2 && odm[n2] == 1, "Wrong OutDegMap");
+    check(idm[n0] == 0 && idm[n1] == 3 && idm[n2] == 3, "Wrong InDegMap");
+   
+    gr.addEdge(n2, n0);
+
+    check(odm[n0] == 3 && odm[n1] == 2 && odm[n2] == 2, "Wrong OutDegMap");
+    check(idm[n0] == 1 && idm[n1] == 3 && idm[n2] == 3, "Wrong InDegMap");
+  }
+  
+  // CrossRefMap
+  {
+    typedef ListDigraph Graph;
+    DIGRAPH_TYPEDEFS(Graph);
+
+    checkConcept<ReadWriteMap<Node, int>,
+                 CrossRefMap<Graph, Node, int> >();
+    checkConcept<ReadWriteMap<Node, bool>,
+                 CrossRefMap<Graph, Node, bool> >();
+    checkConcept<ReadWriteMap<Node, double>,
+                 CrossRefMap<Graph, Node, double> >();
+    
+    Graph gr;
+    typedef CrossRefMap<Graph, Node, char> CRMap;
+    CRMap map(gr);
+    
+    Node n0 = gr.addNode();
+    Node n1 = gr.addNode();
+    Node n2 = gr.addNode();
+    
+    map.set(n0, 'A');
+    map.set(n1, 'B');
+    map.set(n2, 'C');
+    
+    check(map[n0] == 'A' && map('A') == n0 && map.inverse()['A'] == n0,
+          "Wrong CrossRefMap");
+    check(map[n1] == 'B' && map('B') == n1 && map.inverse()['B'] == n1,
+          "Wrong CrossRefMap");
+    check(map[n2] == 'C' && map('C') == n2 && map.inverse()['C'] == n2,
+          "Wrong CrossRefMap");
+    check(map.count('A') == 1 && map.count('B') == 1 && map.count('C') == 1,
+          "Wrong CrossRefMap::count()");
+    
+    CRMap::ValueIt it = map.beginValue();
+    check(*it++ == 'A' && *it++ == 'B' && *it++ == 'C' &&
+          it == map.endValue(), "Wrong value iterator");
+    
+    map.set(n2, 'A');
+
+    check(map[n0] == 'A' && map[n1] == 'B' && map[n2] == 'A',
+          "Wrong CrossRefMap");
+    check(map('A') == n0 && map.inverse()['A'] == n0, "Wrong CrossRefMap");
+    check(map('B') == n1 && map.inverse()['B'] == n1, "Wrong CrossRefMap");
+    check(map('C') == INVALID && map.inverse()['C'] == INVALID,
+          "Wrong CrossRefMap");
+    check(map.count('A') == 2 && map.count('B') == 1 && map.count('C') == 0,
+          "Wrong CrossRefMap::count()");
+
+    it = map.beginValue();
+    check(*it++ == 'A' && *it++ == 'A' && *it++ == 'B' &&
+          it == map.endValue(), "Wrong value iterator");
+
+    map.set(n0, 'C');
+
+    check(map[n0] == 'C' && map[n1] == 'B' && map[n2] == 'A',
+          "Wrong CrossRefMap");
+    check(map('A') == n2 && map.inverse()['A'] == n2, "Wrong CrossRefMap");
+    check(map('B') == n1 && map.inverse()['B'] == n1, "Wrong CrossRefMap");
+    check(map('C') == n0 && map.inverse()['C'] == n0, "Wrong CrossRefMap");
+    check(map.count('A') == 1 && map.count('B') == 1 && map.count('C') == 1,
+          "Wrong CrossRefMap::count()");
+
+    it = map.beginValue();
+    check(*it++ == 'A' && *it++ == 'B' && *it++ == 'C' &&
+          it == map.endValue(), "Wrong value iterator");
   }
 
+  // CrossRefMap
+  {
+    typedef SmartDigraph Graph;
+    DIGRAPH_TYPEDEFS(Graph);
+
+    checkConcept<ReadWriteMap<Node, int>,
+                 CrossRefMap<Graph, Node, int> >();
+    
+    Graph gr;
+    typedef CrossRefMap<Graph, Node, char> CRMap;
+    typedef CRMap::ValueIterator ValueIt;
+    CRMap map(gr);
+    
+    Node n0 = gr.addNode();
+    Node n1 = gr.addNode();
+    Node n2 = gr.addNode();
+    
+    map.set(n0, 'A');
+    map.set(n1, 'B');
+    map.set(n2, 'C');
+    map.set(n2, 'A');
+    map.set(n0, 'C');
+
+    check(map[n0] == 'C' && map[n1] == 'B' && map[n2] == 'A',
+          "Wrong CrossRefMap");
+    check(map('A') == n2 && map.inverse()['A'] == n2, "Wrong CrossRefMap");
+    check(map('B') == n1 && map.inverse()['B'] == n1, "Wrong CrossRefMap");
+    check(map('C') == n0 && map.inverse()['C'] == n0, "Wrong CrossRefMap");
+
+    ValueIt it = map.beginValue();
+    check(*it++ == 'A' && *it++ == 'B' && *it++ == 'C' &&
+          it == map.endValue(), "Wrong value iterator");
+  }
+  
+  // Iterable bool map
+  {
+    typedef SmartGraph Graph;
+    typedef SmartGraph::Node Item;
+
+    typedef IterableBoolMap<SmartGraph, SmartGraph::Node> Ibm;
+    checkConcept<ReferenceMap<Item, bool, bool&, const bool&>, Ibm>();
+
+    const int num = 10;
+    Graph g;
+    std::vector<Item> items;
+    for (int i = 0; i < num; ++i) {
+      items.push_back(g.addNode());
+    }
+
+    Ibm map1(g, true);
+    int n = 0;
+    for (Ibm::TrueIt it(map1); it != INVALID; ++it) {
+      check(map1[static_cast<Item>(it)], "Wrong TrueIt");
+      ++n;
+    }
+    check(n == num, "Wrong number");
+
+    n = 0;
+    for (Ibm::ItemIt it(map1, true); it != INVALID; ++it) {
+        check(map1[static_cast<Item>(it)], "Wrong ItemIt for true");
+        ++n;
+    }
+    check(n == num, "Wrong number");
+    check(Ibm::FalseIt(map1) == INVALID, "Wrong FalseIt");
+    check(Ibm::ItemIt(map1, false) == INVALID, "Wrong ItemIt for false");
+
+    map1[items[5]] = true;
+
+    n = 0;
+    for (Ibm::ItemIt it(map1, true); it != INVALID; ++it) {
+        check(map1[static_cast<Item>(it)], "Wrong ItemIt for true");
+        ++n;
+    }
+    check(n == num, "Wrong number");
+
+    map1[items[num / 2]] = false;
+    check(map1[items[num / 2]] == false, "Wrong map value");
+
+    n = 0;
+    for (Ibm::TrueIt it(map1); it != INVALID; ++it) {
+        check(map1[static_cast<Item>(it)], "Wrong TrueIt for true");
+        ++n;
+    }
+    check(n == num - 1, "Wrong number");
+
+    n = 0;
+    for (Ibm::FalseIt it(map1); it != INVALID; ++it) {
+        check(!map1[static_cast<Item>(it)], "Wrong FalseIt for true");
+        ++n;
+    }
+    check(n == 1, "Wrong number");
+
+    map1[items[0]] = false;
+    check(map1[items[0]] == false, "Wrong map value");
+
+    map1[items[num - 1]] = false;
+    check(map1[items[num - 1]] == false, "Wrong map value");
+
+    n = 0;
+    for (Ibm::TrueIt it(map1); it != INVALID; ++it) {
+        check(map1[static_cast<Item>(it)], "Wrong TrueIt for true");
+        ++n;
+    }
+    check(n == num - 3, "Wrong number");
+    check(map1.trueNum() == num - 3, "Wrong number");
+
+    n = 0;
+    for (Ibm::FalseIt it(map1); it != INVALID; ++it) {
+        check(!map1[static_cast<Item>(it)], "Wrong FalseIt for true");
+        ++n;
+    }
+    check(n == 3, "Wrong number");
+    check(map1.falseNum() == 3, "Wrong number");
+  }
+
+  // Iterable int map
+  {
+    typedef SmartGraph Graph;
+    typedef SmartGraph::Node Item;
+    typedef IterableIntMap<SmartGraph, SmartGraph::Node> Iim;
+
+    checkConcept<ReferenceMap<Item, int, int&, const int&>, Iim>();
+
+    const int num = 10;
+    Graph g;
+    std::vector<Item> items;
+    for (int i = 0; i < num; ++i) {
+      items.push_back(g.addNode());
+    }
+
+    Iim map1(g);
+    check(map1.size() == 0, "Wrong size");
+
+    for (int i = 0; i < num; ++i) {
+      map1[items[i]] = i;
+    }
+    check(map1.size() == num, "Wrong size");
+
+    for (int i = 0; i < num; ++i) {
+      Iim::ItemIt it(map1, i);
+      check(static_cast<Item>(it) == items[i], "Wrong value");
+      ++it;
+      check(static_cast<Item>(it) == INVALID, "Wrong value");
+    }
+
+    for (int i = 0; i < num; ++i) {
+      map1[items[i]] = i % 2;
+    }
+    check(map1.size() == 2, "Wrong size");
+
+    int n = 0;
+    for (Iim::ItemIt it(map1, 0); it != INVALID; ++it) {
+      check(map1[static_cast<Item>(it)] == 0, "Wrong value");
+      ++n;
+    }
+    check(n == (num + 1) / 2, "Wrong number");
+
+    for (Iim::ItemIt it(map1, 1); it != INVALID; ++it) {
+      check(map1[static_cast<Item>(it)] == 1, "Wrong value");
+      ++n;
+    }
+    check(n == num, "Wrong number");
+
+  }
+
+  // Iterable value map
+  {
+    typedef SmartGraph Graph;
+    typedef SmartGraph::Node Item;
+    typedef IterableValueMap<SmartGraph, SmartGraph::Node, double> Ivm;
+
+    checkConcept<ReadWriteMap<Item, double>, Ivm>();
+
+    const int num = 10;
+    Graph g;
+    std::vector<Item> items;
+    for (int i = 0; i < num; ++i) {
+      items.push_back(g.addNode());
+    }
+
+    Ivm map1(g, 0.0);
+    check(distance(map1.beginValue(), map1.endValue()) == 1, "Wrong size");
+    check(*map1.beginValue() == 0.0, "Wrong value");
+
+    for (int i = 0; i < num; ++i) {
+      map1.set(items[i], static_cast<double>(i));
+    }
+    check(distance(map1.beginValue(), map1.endValue()) == num, "Wrong size");
+
+    for (int i = 0; i < num; ++i) {
+      Ivm::ItemIt it(map1, static_cast<double>(i));
+      check(static_cast<Item>(it) == items[i], "Wrong value");
+      ++it;
+      check(static_cast<Item>(it) == INVALID, "Wrong value");
+    }
+
+    for (Ivm::ValueIt vit = map1.beginValue();
+         vit != map1.endValue(); ++vit) {
+      check(map1[static_cast<Item>(Ivm::ItemIt(map1, *vit))] == *vit,
+            "Wrong ValueIt");
+    }
+
+    for (int i = 0; i < num; ++i) {
+      map1.set(items[i], static_cast<double>(i % 2));
+    }
+    check(distance(map1.beginValue(), map1.endValue()) == 2, "Wrong size");
+
+    int n = 0;
+    for (Ivm::ItemIt it(map1, 0.0); it != INVALID; ++it) {
+      check(map1[static_cast<Item>(it)] == 0.0, "Wrong value");
+      ++n;
+    }
+    check(n == (num + 1) / 2, "Wrong number");
+
+    for (Ivm::ItemIt it(map1, 1.0); it != INVALID; ++it) {
+      check(map1[static_cast<Item>(it)] == 1.0, "Wrong value");
+      ++n;
+    }
+    check(n == num, "Wrong number");
+
+  }
+  
+  // Graph map utilities:
+  // mapMin(), mapMax(), mapMinValue(), mapMaxValue()
+  // mapFind(), mapFindIf(), mapCount(), mapCountIf()
+  // mapCopy(), mapCompare(), mapFill()
+  {
+    DIGRAPH_TYPEDEFS(SmartDigraph);
+
+    SmartDigraph g;
+    Node n1 = g.addNode();
+    Node n2 = g.addNode();
+    Node n3 = g.addNode();
+    
+    SmartDigraph::NodeMap<int> map1(g);
+    SmartDigraph::ArcMap<char> map2(g);
+    ConstMap<Node, A> cmap1 = A();
+    ConstMap<Arc, C> cmap2 = C(0);
+    
+    map1[n1] = 10;
+    map1[n2] = 5;
+    map1[n3] = 12;
+    
+    // mapMin(), mapMax(), mapMinValue(), mapMaxValue()
+    check(mapMin(g, map1) == n2, "Wrong mapMin()");
+    check(mapMax(g, map1) == n3, "Wrong mapMax()");
+    check(mapMin(g, map1, std::greater<int>()) == n3, "Wrong mapMin()");
+    check(mapMax(g, map1, std::greater<int>()) == n2, "Wrong mapMax()");
+    check(mapMinValue(g, map1) == 5, "Wrong mapMinValue()");
+    check(mapMaxValue(g, map1) == 12, "Wrong mapMaxValue()");
+
+    check(mapMin(g, map2) == INVALID, "Wrong mapMin()");
+    check(mapMax(g, map2) == INVALID, "Wrong mapMax()");
+
+    check(mapMin(g, cmap1) != INVALID, "Wrong mapMin()");
+    check(mapMax(g, cmap2) == INVALID, "Wrong mapMax()");
+
+    Arc a1 = g.addArc(n1, n2);
+    Arc a2 = g.addArc(n1, n3);
+    Arc a3 = g.addArc(n2, n3);
+    Arc a4 = g.addArc(n3, n1);
+    
+    map2[a1] = 'b';
+    map2[a2] = 'a';
+    map2[a3] = 'b';
+    map2[a4] = 'c';
+
+    // mapMin(), mapMax(), mapMinValue(), mapMaxValue()
+    check(mapMin(g, map2) == a2, "Wrong mapMin()");
+    check(mapMax(g, map2) == a4, "Wrong mapMax()");
+    check(mapMin(g, map2, std::greater<int>()) == a4, "Wrong mapMin()");
+    check(mapMax(g, map2, std::greater<int>()) == a2, "Wrong mapMax()");
+    check(mapMinValue(g, map2, std::greater<int>()) == 'c',
+          "Wrong mapMinValue()");
+    check(mapMaxValue(g, map2, std::greater<int>()) == 'a',
+          "Wrong mapMaxValue()");
+
+    check(mapMin(g, cmap1) != INVALID, "Wrong mapMin()");
+    check(mapMax(g, cmap2) != INVALID, "Wrong mapMax()");
+    check(mapMaxValue(g, cmap2) == C(0), "Wrong mapMaxValue()");
+
+    check(mapMin(g, composeMap(functorToMap(&createC), map2)) == a2,
+          "Wrong mapMin()");
+    check(mapMax(g, composeMap(functorToMap(&createC), map2)) == a4,
+          "Wrong mapMax()");
+    check(mapMinValue(g, composeMap(functorToMap(&createC), map2)) == C('a'),
+          "Wrong mapMinValue()");
+    check(mapMaxValue(g, composeMap(functorToMap(&createC), map2)) == C('c'),
+          "Wrong mapMaxValue()");
+
+    // mapFind(), mapFindIf()
+    check(mapFind(g, map1, 5) == n2, "Wrong mapFind()");
+    check(mapFind(g, map1, 6) == INVALID, "Wrong mapFind()");
+    check(mapFind(g, map2, 'a') == a2, "Wrong mapFind()");
+    check(mapFind(g, map2, 'e') == INVALID, "Wrong mapFind()");
+    check(mapFind(g, cmap2, C(0)) == ArcIt(g), "Wrong mapFind()");
+    check(mapFind(g, cmap2, C(1)) == INVALID, "Wrong mapFind()");
+
+    check(mapFindIf(g, map1, Less<int>(7)) == n2,
+          "Wrong mapFindIf()");
+    check(mapFindIf(g, map1, Less<int>(5)) == INVALID,
+          "Wrong mapFindIf()");
+    check(mapFindIf(g, map2, Less<char>('d')) == ArcIt(g),
+          "Wrong mapFindIf()");
+    check(mapFindIf(g, map2, Less<char>('a')) == INVALID,
+          "Wrong mapFindIf()");
+
+    // mapCount(), mapCountIf()
+    check(mapCount(g, map1, 5) == 1, "Wrong mapCount()");
+    check(mapCount(g, map1, 6) == 0, "Wrong mapCount()");
+    check(mapCount(g, map2, 'a') == 1, "Wrong mapCount()");
+    check(mapCount(g, map2, 'b') == 2, "Wrong mapCount()");
+    check(mapCount(g, map2, 'e') == 0, "Wrong mapCount()");
+    check(mapCount(g, cmap2, C(0)) == 4, "Wrong mapCount()");
+    check(mapCount(g, cmap2, C(1)) == 0, "Wrong mapCount()");
+
+    check(mapCountIf(g, map1, Less<int>(11)) == 2,
+          "Wrong mapCountIf()");
+    check(mapCountIf(g, map1, Less<int>(13)) == 3,
+          "Wrong mapCountIf()");
+    check(mapCountIf(g, map1, Less<int>(5)) == 0,
+          "Wrong mapCountIf()");
+    check(mapCountIf(g, map2, Less<char>('d')) == 4,
+          "Wrong mapCountIf()");
+    check(mapCountIf(g, map2, Less<char>('c')) == 3,
+          "Wrong mapCountIf()");
+    check(mapCountIf(g, map2, Less<char>('a')) == 0,
+          "Wrong mapCountIf()");
+     
+    // MapIt, ConstMapIt
+/*
+These tests can be used after applying bugfix #330
+    typedef SmartDigraph::NodeMap<int>::MapIt MapIt;
+    typedef SmartDigraph::NodeMap<int>::ConstMapIt ConstMapIt;
+    check(*std::min_element(MapIt(map1), MapIt(INVALID)) == 5,
+          "Wrong NodeMap<>::MapIt");
+    check(*std::max_element(ConstMapIt(map1), ConstMapIt(INVALID)) == 12,
+          "Wrong NodeMap<>::MapIt");
+    
+    int sum = 0;
+    std::for_each(MapIt(map1), MapIt(INVALID), Sum<int>(sum));
+    check(sum == 27, "Wrong NodeMap<>::MapIt");
+    std::for_each(ConstMapIt(map1), ConstMapIt(INVALID), Sum<int>(sum));
+    check(sum == 54, "Wrong NodeMap<>::ConstMapIt");
+*/
+
+    // mapCopy(), mapCompare(), mapFill()
+    check(mapCompare(g, map1, map1), "Wrong mapCompare()");
+    check(mapCompare(g, cmap2, cmap2), "Wrong mapCompare()");
+    check(mapCompare(g, map1, shiftMap(map1, 0)), "Wrong mapCompare()");
+    check(mapCompare(g, map2, scaleMap(map2, 1)), "Wrong mapCompare()");
+    check(!mapCompare(g, map1, shiftMap(map1, 1)), "Wrong mapCompare()");
+
+    SmartDigraph::NodeMap<int> map3(g, 0);
+    SmartDigraph::ArcMap<char> map4(g, 'a');
+    
+    check(!mapCompare(g, map1, map3), "Wrong mapCompare()");
+    check(!mapCompare(g, map2, map4), "Wrong mapCompare()");    
+    
+    mapCopy(g, map1, map3);
+    mapCopy(g, map2, map4);
+
+    check(mapCompare(g, map1, map3), "Wrong mapCompare() or mapCopy()");
+    check(mapCompare(g, map2, map4), "Wrong mapCompare() or mapCopy()");    
+    
+    Undirector<SmartDigraph> ug(g);
+    Undirector<SmartDigraph>::EdgeMap<char> umap1(ug, 'x');
+    Undirector<SmartDigraph>::ArcMap<double> umap2(ug, 3.14);
+    
+    check(!mapCompare(g, map2, umap1), "Wrong mapCompare() or mapCopy()");
+    check(!mapCompare(g, umap1, map2), "Wrong mapCompare() or mapCopy()");
+    check(!mapCompare(ug, map2, umap1), "Wrong mapCompare() or mapCopy()");
+    check(!mapCompare(ug, umap1, map2), "Wrong mapCompare() or mapCopy()");
+    
+    mapCopy(g, map2, umap1);
+
+    check(mapCompare(g, map2, umap1), "Wrong mapCompare() or mapCopy()");
+    check(mapCompare(g, umap1, map2), "Wrong mapCompare() or mapCopy()");
+    check(mapCompare(ug, map2, umap1), "Wrong mapCompare() or mapCopy()");
+    check(mapCompare(ug, umap1, map2), "Wrong mapCompare() or mapCopy()");
+    
+    mapCopy(g, map2, umap1);
+    mapCopy(g, umap1, map2);
+    mapCopy(ug, map2, umap1);
+    mapCopy(ug, umap1, map2);
+    
+    check(!mapCompare(ug, umap1, umap2), "Wrong mapCompare() or mapCopy()");
+    mapCopy(ug, umap1, umap2);
+    check(mapCompare(ug, umap1, umap2), "Wrong mapCompare() or mapCopy()");
+    
+    check(!mapCompare(g, map1, constMap<Node>(2)), "Wrong mapCompare()");
+    mapFill(g, map1, 2);
+    check(mapCompare(g, constMap<Node>(2), map1), "Wrong mapFill()");
+
+    check(!mapCompare(g, map2, constMap<Arc>('z')), "Wrong mapCompare()");
+    mapCopy(g, constMap<Arc>('z'), map2);
+    check(mapCompare(g, constMap<Arc>('z'), map2), "Wrong mapCopy()");
+  }
+  
   return 0;
 }
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/min_mean_cycle_test.cc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test/min_mean_cycle_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,216 @@
+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2009
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#include <iostream>
+#include <sstream>
+
+#include <lemon/smart_graph.h>
+#include <lemon/lgf_reader.h>
+#include <lemon/path.h>
+#include <lemon/concepts/digraph.h>
+#include <lemon/concept_check.h>
+
+#include <lemon/karp.h>
+#include <lemon/hartmann_orlin.h>
+#include <lemon/howard.h>
+
+#include "test_tools.h"
+
+using namespace lemon;
+
+char test_lgf[] =
+  "@nodes\n"
+  "label\n"
+  "1\n"
+  "2\n"
+  "3\n"
+  "4\n"
+  "5\n"
+  "6\n"
+  "7\n"
+  "@arcs\n"
+  "    len1 len2 len3 len4  c1 c2 c3 c4\n"
+  "1 2    1    1    1    1   0  0  0  0\n"
+  "2 4    5    5    5    5   1  0  0  0\n"
+  "2 3    8    8    8    8   0  0  0  0\n"
+  "3 2   -2    0    0    0   1  0  0  0\n"
+  "3 4    4    4    4    4   0  0  0  0\n"
+  "3 7   -4   -4   -4   -4   0  0  0  0\n"
+  "4 1    2    2    2    2   0  0  0  0\n"
+  "4 3    3    3    3    3   1  0  0  0\n"
+  "4 4    3    3    0    0   0  0  1  0\n"
+  "5 2    4    4    4    4   0  0  0  0\n"
+  "5 6    3    3    3    3   0  1  0  0\n"
+  "6 5    2    2    2    2   0  1  0  0\n"
+  "6 4   -1   -1   -1   -1   0  0  0  0\n"
+  "6 7    1    1    1    1   0  0  0  0\n"
+  "7 7    4    4    4   -1   0  0  0  1\n";
+
+                        
+// Check the interface of an MMC algorithm
+template <typename GR, typename Value>
+struct MmcClassConcept
+{
+  template <typename MMC>
+  struct Constraints {
+    void constraints() {
+      const Constraints& me = *this;
+
+      typedef typename MMC
+        ::template SetPath<ListPath<GR> >
+        ::template SetLargeValue<Value>
+        ::Create MmcAlg;
+      MmcAlg mmc(me.g, me.length);
+      const MmcAlg& const_mmc = mmc;
+      
+      typename MmcAlg::Tolerance tol = const_mmc.tolerance();
+      mmc.tolerance(tol);
+      
+      b = mmc.cycle(p).run();
+      b = mmc.findMinMean();
+      b = mmc.findCycle();
+
+      v = const_mmc.cycleLength();
+      i = const_mmc.cycleArcNum();
+      d = const_mmc.cycleMean();
+      p = const_mmc.cycle();
+    }
+
+    typedef concepts::ReadMap<typename GR::Arc, Value> LM;
+  
+    GR g;
+    LM length;
+    ListPath<GR> p;
+    Value v;
+    int i;
+    double d;
+    bool b;
+  };
+};
+
+// Perform a test with the given parameters
+template <typename MMC>
+void checkMmcAlg(const SmartDigraph& gr,
+                 const SmartDigraph::ArcMap<int>& lm,
+                 const SmartDigraph::ArcMap<int>& cm,
+                 int length, int size) {
+  MMC alg(gr, lm);
+  alg.findMinMean();
+  check(alg.cycleMean() == static_cast<double>(length) / size,
+        "Wrong cycle mean");
+  alg.findCycle();
+  check(alg.cycleLength() == length && alg.cycleArcNum() == size,
+        "Wrong path");
+  SmartDigraph::ArcMap<int> cycle(gr, 0);
+  for (typename MMC::Path::ArcIt a(alg.cycle()); a != INVALID; ++a) {
+    ++cycle[a];
+  }
+  for (SmartDigraph::ArcIt a(gr); a != INVALID; ++a) {
+    check(cm[a] == cycle[a], "Wrong path");
+  }
+}
+
+// Class for comparing types
+template <typename T1, typename T2>
+struct IsSameType {
+  static const int result = 0;
+};
+
+template <typename T>
+struct IsSameType<T,T> {
+  static const int result = 1;
+};
+
+
+int main() {
+  #ifdef LEMON_HAVE_LONG_LONG
+    typedef long long long_int;
+  #else
+    typedef long long_int;
+  #endif
+
+  // Check the interface
+  {
+    typedef concepts::Digraph GR;
+
+    // Karp
+    checkConcept< MmcClassConcept<GR, int>,
+                  Karp<GR, concepts::ReadMap<GR::Arc, int> > >();
+    checkConcept< MmcClassConcept<GR, float>,
+                  Karp<GR, concepts::ReadMap<GR::Arc, float> > >();
+    
+    // HartmannOrlin
+    checkConcept< MmcClassConcept<GR, int>,
+                  HartmannOrlin<GR, concepts::ReadMap<GR::Arc, int> > >();
+    checkConcept< MmcClassConcept<GR, float>,
+                  HartmannOrlin<GR, concepts::ReadMap<GR::Arc, float> > >();
+    
+    // Howard
+    checkConcept< MmcClassConcept<GR, int>,
+                  Howard<GR, concepts::ReadMap<GR::Arc, int> > >();
+    checkConcept< MmcClassConcept<GR, float>,
+                  Howard<GR, concepts::ReadMap<GR::Arc, float> > >();
+
+    if (IsSameType<Howard<GR, concepts::ReadMap<GR::Arc, int> >::LargeValue,
+          long_int>::result == 0) check(false, "Wrong LargeValue type");
+    if (IsSameType<Howard<GR, concepts::ReadMap<GR::Arc, float> >::LargeValue,
+          double>::result == 0) check(false, "Wrong LargeValue type");
+  }
+
+  // Run various tests
+  {
+    typedef SmartDigraph GR;
+    DIGRAPH_TYPEDEFS(GR);
+    
+    GR gr;
+    IntArcMap l1(gr), l2(gr), l3(gr), l4(gr);
+    IntArcMap c1(gr), c2(gr), c3(gr), c4(gr);
+    
+    std::istringstream input(test_lgf);
+    digraphReader(gr, input).
+      arcMap("len1", l1).
+      arcMap("len2", l2).
+      arcMap("len3", l3).
+      arcMap("len4", l4).
+      arcMap("c1", c1).
+      arcMap("c2", c2).
+      arcMap("c3", c3).
+      arcMap("c4", c4).
+      run();
+
+    // Karp
+    checkMmcAlg<Karp<GR, IntArcMap> >(gr, l1, c1,  6, 3);
+    checkMmcAlg<Karp<GR, IntArcMap> >(gr, l2, c2,  5, 2);
+    checkMmcAlg<Karp<GR, IntArcMap> >(gr, l3, c3,  0, 1);
+    checkMmcAlg<Karp<GR, IntArcMap> >(gr, l4, c4, -1, 1);
+
+    // HartmannOrlin
+    checkMmcAlg<HartmannOrlin<GR, IntArcMap> >(gr, l1, c1,  6, 3);
+    checkMmcAlg<HartmannOrlin<GR, IntArcMap> >(gr, l2, c2,  5, 2);
+    checkMmcAlg<HartmannOrlin<GR, IntArcMap> >(gr, l3, c3,  0, 1);
+    checkMmcAlg<HartmannOrlin<GR, IntArcMap> >(gr, l4, c4, -1, 1);
+
+    // Howard
+    checkMmcAlg<Howard<GR, IntArcMap> >(gr, l1, c1,  6, 3);
+    checkMmcAlg<Howard<GR, IntArcMap> >(gr, l2, c2,  5, 2);
+    checkMmcAlg<Howard<GR, IntArcMap> >(gr, l3, c3,  0, 1);
+    checkMmcAlg<Howard<GR, IntArcMap> >(gr, l4, c4, -1, 1);
+  }
+
+  return 0;
+}
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/mip_test.cc
--- a/test/mip_test.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/mip_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -50,7 +50,8 @@
 
   if (stat ==  MipSolver::OPTIMAL) {
     std::ostringstream sbuf;
-    buf << "Wrong optimal value: the right optimum is " << exp_opt;
+    sbuf << "Wrong optimal value ("<< mip.solValue()
+         <<" instead of " << exp_opt << ")";
     check(std::abs(mip.solValue()-exp_opt) < 1e-3, sbuf.str());
     //+ecvt(exp_opt,2)
   }
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/planarity_test.cc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test/planarity_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -0,0 +1,262 @@
+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2009
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#include <iostream>
+
+#include <lemon/planarity.h>
+
+#include <lemon/smart_graph.h>
+#include <lemon/lgf_reader.h>
+#include <lemon/connectivity.h>
+#include <lemon/dim2.h>
+
+#include "test_tools.h"
+
+using namespace lemon;
+using namespace lemon::dim2;
+
+const int lgfn = 4;
+const std::string lgf[lgfn] = {
+  "@nodes\n"
+  "label\n"
+  "0\n"
+  "1\n"
+  "2\n"
+  "3\n"
+  "4\n"
+  "@edges\n"
+  "     label\n"
+  "0 1  0\n"
+  "0 2  0\n"
+  "0 3  0\n"
+  "0 4  0\n"
+  "1 2  0\n"
+  "1 3  0\n"
+  "1 4  0\n"
+  "2 3  0\n"
+  "2 4  0\n"
+  "3 4  0\n",
+
+  "@nodes\n"
+  "label\n"
+  "0\n"
+  "1\n"
+  "2\n"
+  "3\n"
+  "4\n"
+  "@edges\n"
+  "     label\n"
+  "0 1  0\n"
+  "0 2  0\n"
+  "0 3  0\n"
+  "0 4  0\n"
+  "1 2  0\n"
+  "1 3  0\n"
+  "2 3  0\n"
+  "2 4  0\n"
+  "3 4  0\n",
+
+  "@nodes\n"
+  "label\n"
+  "0\n"
+  "1\n"
+  "2\n"
+  "3\n"
+  "4\n"
+  "5\n"
+  "@edges\n"
+  "     label\n"
+  "0 3  0\n"
+  "0 4  0\n"
+  "0 5  0\n"
+  "1 3  0\n"
+  "1 4  0\n"
+  "1 5  0\n"
+  "2 3  0\n"
+  "2 4  0\n"
+  "2 5  0\n",
+
+  "@nodes\n"
+  "label\n"
+  "0\n"
+  "1\n"
+  "2\n"
+  "3\n"
+  "4\n"
+  "5\n"
+  "@edges\n"
+  "     label\n"
+  "0 3  0\n"
+  "0 4  0\n"
+  "0 5  0\n"
+  "1 3  0\n"
+  "1 4  0\n"
+  "1 5  0\n"
+  "2 3  0\n"
+  "2 5  0\n"
+};
+
+
+
+typedef SmartGraph Graph;
+GRAPH_TYPEDEFS(Graph);
+
+typedef PlanarEmbedding<SmartGraph> PE;
+typedef PlanarDrawing<SmartGraph> PD;
+typedef PlanarColoring<SmartGraph> PC;
+
+void checkEmbedding(const Graph& graph, PE& pe) {
+  int face_num = 0;
+
+  Graph::ArcMap<int> face(graph, -1);
+
+  for (ArcIt a(graph); a != INVALID; ++a) {
+    if (face[a] == -1) {
+      Arc b = a;
+      while (face[b] == -1) {
+        face[b] = face_num;
+        b = pe.next(graph.oppositeArc(b));
+      }
+      check(face[b] == face_num, "Wrong face");
+      ++face_num;
+    }
+  }
+  check(face_num + countNodes(graph) - countConnectedComponents(graph) ==
+        countEdges(graph) + 1, "Euler test does not passed");
+}
+
+void checkKuratowski(const Graph& graph, PE& pe) {
+  std::map<int, int> degs;
+  for (NodeIt n(graph); n != INVALID; ++n) {
+    int deg = 0;
+    for (IncEdgeIt e(graph, n); e != INVALID; ++e) {
+      if (pe.kuratowski(e)) {
+        ++deg;
+      }
+    }
+    ++degs[deg];
+  }
+  for (std::map<int, int>::iterator it = degs.begin(); it != degs.end(); ++it) {
+    check(it->first == 0 || it->first == 2 ||
+          (it->first == 3 && it->second == 6) ||
+          (it->first == 4 && it->second == 5),
+          "Wrong degree in Kuratowski graph");
+  }
+
+  // Not full test
+  check((degs[3] == 0) != (degs[4] == 0), "Wrong Kuratowski graph");
+}
+
+bool intersect(Point<int> e1, Point<int> e2, Point<int> f1, Point<int> f2) {
+  int l, r;
+  if (std::min(e1.x, e2.x) > std::max(f1.x, f2.x)) return false;
+  if (std::max(e1.x, e2.x) < std::min(f1.x, f2.x)) return false;
+  if (std::min(e1.y, e2.y) > std::max(f1.y, f2.y)) return false;
+  if (std::max(e1.y, e2.y) < std::min(f1.y, f2.y)) return false;
+
+  l = (e2.x - e1.x) * (f1.y - e1.y) - (e2.y - e1.y) * (f1.x - e1.x);
+  r = (e2.x - e1.x) * (f2.y - e1.y) - (e2.y - e1.y) * (f2.x - e1.x);
+  if (!((l >= 0 && r <= 0) || (l <= 0 && r >= 0))) return false;
+  l = (f2.x - f1.x) * (e1.y - f1.y) - (f2.y - f1.y) * (e1.x - f1.x);
+  r = (f2.x - f1.x) * (e2.y - f1.y) - (f2.y - f1.y) * (e2.x - f1.x);
+  if (!((l >= 0 && r <= 0) || (l <= 0 && r >= 0))) return false;
+  return true;
+}
+
+bool collinear(Point<int> p, Point<int> q, Point<int> r) {
+  int v;
+  v = (q.x - p.x) * (r.y - p.y) - (q.y - p.y) * (r.x - p.x);
+  if (v != 0) return false;
+  v = (q.x - p.x) * (r.x - p.x) + (q.y - p.y) * (r.y - p.y);
+  if (v < 0) return false;
+  return true;
+}
+
+void checkDrawing(const Graph& graph, PD& pd) {
+  for (Graph::NodeIt n(graph); n != INVALID; ++n) {
+    Graph::NodeIt m(n);
+    for (++m; m != INVALID; ++m) {
+      check(pd[m] != pd[n], "Two nodes with identical coordinates");
+    }
+  }
+
+  for (Graph::EdgeIt e(graph); e != INVALID; ++e) {
+    for (Graph::EdgeIt f(e); f != e; ++f) {
+      Point<int> e1 = pd[graph.u(e)];
+      Point<int> e2 = pd[graph.v(e)];
+      Point<int> f1 = pd[graph.u(f)];
+      Point<int> f2 = pd[graph.v(f)];
+
+      if (graph.u(e) == graph.u(f)) {
+        check(!collinear(e1, e2, f2), "Wrong drawing");
+      } else if (graph.u(e) == graph.v(f)) {
+        check(!collinear(e1, e2, f1), "Wrong drawing");
+      } else if (graph.v(e) == graph.u(f)) {
+        check(!collinear(e2, e1, f2), "Wrong drawing");
+      } else if (graph.v(e) == graph.v(f)) {
+        check(!collinear(e2, e1, f1), "Wrong drawing");
+      } else {
+        check(!intersect(e1, e2, f1, f2), "Wrong drawing");
+      }
+    }
+  }
+}
+
+void checkColoring(const Graph& graph, PC& pc, int num) {
+  for (NodeIt n(graph); n != INVALID; ++n) {
+    check(pc.colorIndex(n) >= 0 && pc.colorIndex(n) < num,
+          "Wrong coloring");
+  }
+  for (EdgeIt e(graph); e != INVALID; ++e) {
+    check(pc.colorIndex(graph.u(e)) != pc.colorIndex(graph.v(e)),
+          "Wrong coloring");
+  }
+}
+
+int main() {
+
+  for (int i = 0; i < lgfn; ++i) {
+    std::istringstream lgfs(lgf[i]);
+
+    SmartGraph graph;
+    graphReader(graph, lgfs).run();
+
+    check(simpleGraph(graph), "Test graphs must be simple");
+
+    PE pe(graph);
+    bool planar = pe.run();
+    check(checkPlanarity(graph) == planar, "Planarity checking failed");
+
+    if (planar) {
+      checkEmbedding(graph, pe);
+
+      PlanarDrawing<Graph> pd(graph);
+      pd.run(pe.embeddingMap());
+      checkDrawing(graph, pd);
+
+      PlanarColoring<Graph> pc(graph);
+      pc.runFiveColoring(pe.embeddingMap());
+      checkColoring(graph, pc, 5);
+
+    } else {
+      checkKuratowski(graph, pe);
+    }
+  }
+
+  return 0;
+}
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/preflow_test.cc
--- a/test/preflow_test.cc	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/preflow_test.cc	Thu Dec 10 17:18:25 2009 +0100
@@ -94,6 +94,11 @@
             ::Create PreflowType;
   PreflowType preflow_test(g, cap, n, n);
   const PreflowType& const_preflow_test = preflow_test;
+  
+  const PreflowType::Elevator& elev = const_preflow_test.elevator();
+  preflow_test.elevator(const_cast<PreflowType::Elevator&>(elev));
+  PreflowType::Tolerance tol = const_preflow_test.tolerance();
+  preflow_test.tolerance(tol);
 
   preflow_test
     .capacityMap(cap)
diff -r 994c7df296c9 -r 1b89e29c9fc7 test/test_tools.h
--- a/test/test_tools.h	Thu Dec 10 17:05:35 2009 +0100
+++ b/test/test_tools.h	Thu Dec 10 17:18:25 2009 +0100
@@ -37,10 +37,14 @@
 ///\code check(0==1,"This is obviously false.");\endcode will
 ///print something like this (and then exits).
 ///\verbatim file_name.cc:123: error: This is obviously false. \endverbatim
-#define check(rc, msg) \
-  if(!(rc)) { \
-    std::cerr << __FILE__ ":" << __LINE__ << ": error: " << msg << std::endl; \
-    abort(); \
-  } else { } \
+#define check(rc, msg)                                                  \
+  {                                                                     \
+    if(!(rc)) {                                                         \
+      std::cerr << __FILE__ ":" << __LINE__ << ": error: "              \
+                << msg << std::endl;                                    \
+      abort();                                                          \
+    } else { }                                                          \
+  }                                                                     \
+    
 
 #endif
diff -r 994c7df296c9 -r 1b89e29c9fc7 tools/lemon-0.x-to-1.x.sh
--- a/tools/lemon-0.x-to-1.x.sh	Thu Dec 10 17:05:35 2009 +0100
+++ b/tools/lemon-0.x-to-1.x.sh	Thu Dec 10 17:18:25 2009 +0100
@@ -35,10 +35,10 @@
         -e "s/IncEdgeIt/_In_cEd_geIt_label_/g"\
         -e "s/Edge\>/_Ar_c_label_/g"\
         -e "s/\<edge\>/_ar_c_label_/g"\
-        -e "s/_edge\>/_ar_c_label_/g"\
+        -e "s/_edge\>/__ar_c_label_/g"\
         -e "s/Edges\>/_Ar_c_label_s/g"\
         -e "s/\<edges\>/_ar_c_label_s/g"\
-        -e "s/_edges\>/_ar_c_label_s/g"\
+        -e "s/_edges\>/__ar_c_label_s/g"\
         -e "s/\([Ee]\)dge\([a-z]\)/_\1d_ge_label_\2/g"\
         -e "s/\([a-z]\)edge/\1_ed_ge_label_/g"\
         -e "s/Edge/_Ar_c_label_/g"\
@@ -68,6 +68,11 @@
         -e "s/_blu_e_label_/blue/g"\
         -e "s/_GR_APH_TY_PEDE_FS_label_/GRAPH_TYPEDEFS/g"\
         -e "s/_DIGR_APH_TY_PEDE_FS_label_/DIGRAPH_TYPEDEFS/g"\
+        -e "s/\<digraph_adaptor\.h\>/adaptors.h/g"\
+        -e "s/\<digraph_utils\.h\>/core.h/g"\
+        -e "s/\<digraph_reader\.h\>/lgf_reader.h/g"\
+        -e "s/\<digraph_writer\.h\>/lgf_writer.h/g"\
+        -e "s/\<topology\.h\>/connectivity.h/g"\
         -e "s/DigraphToEps/GraphToEps/g"\
         -e "s/digraphToEps/graphToEps/g"\
         -e "s/\<DefPredMap\>/SetPredMap/g"\