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157
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178
grestore
179
showpage
Ignore white space 6 line context
... ...
@@ -11,30 +11,43 @@
11 11
IF(DOXYGEN_EXECUTABLE AND GHOSTSCRIPT_EXECUTABLE)
12 12
  FILE(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/html/)
13 13
  IF(UNIX)
14 14
    ADD_CUSTOM_TARGET(html
15 15
      COMMAND rm -rf gen-images
16 16
      COMMAND mkdir gen-images
17
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/bipartite_matching.png ${CMAKE_CURRENT_SOURCE_DIR}/images/bipartite_matching.eps
18
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/bipartite_partitions.png ${CMAKE_CURRENT_SOURCE_DIR}/images/bipartite_partitions.eps
19
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/connected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/connected_components.eps
20
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/edge_biconnected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/edge_biconnected_components.eps
17 21
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/grid_graph.png ${CMAKE_CURRENT_SOURCE_DIR}/images/grid_graph.eps
22
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/node_biconnected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/node_biconnected_components.eps
18 23
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_0.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_0.eps
19 24
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_1.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_1.eps
20 25
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_2.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_2.eps
21 26
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_3.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_3.eps
22 27
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_4.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_4.eps
28
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/strongly_connected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/strongly_connected_components.eps
23 29
      COMMAND rm -rf html
24 30
      COMMAND ${DOXYGEN_EXECUTABLE} Doxyfile
25 31
      WORKING_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR})
26 32
  ELSEIF(WIN32)
27 33
    ADD_CUSTOM_TARGET(html
28 34
      COMMAND if exist gen-images rmdir /s /q gen-images
29 35
      COMMAND mkdir gen-images
36
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/bipartite_matching.png ${CMAKE_CURRENT_SOURCE_DIR}/images/bipartite_matching.eps
37
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/bipartite_partitions.png ${CMAKE_CURRENT_SOURCE_DIR}/images/bipartite_partitions.eps
38
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/connected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/connected_components.eps
39
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/edge_biconnected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/edge_biconnected_components.eps
40
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/grid_graph.png ${CMAKE_CURRENT_SOURCE_DIR}/images/grid_graph.eps
41
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/node_biconnected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/node_biconnected_components.eps
30 42
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_0.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_0.eps
31 43
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_1.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_1.eps
32 44
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_2.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_2.eps
33 45
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_3.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_3.eps
34 46
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_4.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_4.eps
47
      COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/strongly_connected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/strongly_connected_components.eps
35 48
      COMMAND if exist html rmdir /s /q html
36 49
      COMMAND ${DOXYGEN_EXECUTABLE} Doxyfile
37 50
      WORKING_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR})
38 51
  ENDIF(UNIX)
39 52
  INSTALL(
40 53
    DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/html/
Ignore white space 6 line context
... ...
@@ -11,18 +11,24 @@
11 11
	doc/named-param.dox \
12 12
	doc/namespaces.dox \
13 13
	doc/html \
14 14
	doc/CMakeLists.txt
15 15

	
16 16
DOC_EPS_IMAGES18 = \
17
	bipartite_matching.eps \
18
	bipartite_partitions.eps \
19
	connected_components.eps \
20
	edge_biconnected_components.eps \
17 21
	grid_graph.eps \
22
	node_biconnected_components.eps \
18 23
	nodeshape_0.eps \
19 24
	nodeshape_1.eps \
20 25
	nodeshape_2.eps \
21 26
	nodeshape_3.eps \
22
	nodeshape_4.eps
27
	nodeshape_4.eps \
28
	strongly_connected_components.eps
23 29

	
24 30
DOC_EPS_IMAGES = \
25 31
	$(DOC_EPS_IMAGES18)
26 32

	
27 33
DOC_PNG_IMAGES = \
28 34
	$(DOC_EPS_IMAGES:%.eps=doc/gen-images/%.png)
Ignore white space 6 line context
... ...
@@ -404,13 +404,13 @@
404 404

	
405 405
If you want to find minimum cut just between two distinict nodes,
406 406
see the \ref max_flow "maximum flow problem".
407 407
*/
408 408

	
409 409
/**
410
@defgroup graph_prop Connectivity and Other Graph Properties
410
@defgroup graph_properties Connectivity and Other Graph Properties
411 411
@ingroup algs
412 412
\brief Algorithms for discovering the graph properties
413 413

	
414 414
This group contains the algorithms for discovering the graph properties
415 415
like connectivity, bipartiteness, euler property, simplicity etc.
416 416

	
Ignore white space 6 line context
... ...
@@ -29,21 +29,21 @@
29 29
#include <lemon/concepts/graph.h>
30 30
#include <lemon/concept_check.h>
31 31

	
32 32
#include <stack>
33 33
#include <functional>
34 34

	
35
/// \ingroup connectivity
35
/// \ingroup graph_properties
36 36
/// \file
37 37
/// \brief Connectivity algorithms
38 38
///
39 39
/// Connectivity algorithms
40 40

	
41 41
namespace lemon {
42 42

	
43
  /// \ingroup connectivity
43
  /// \ingroup graph_properties
44 44
  ///
45 45
  /// \brief Check whether the given undirected graph is connected.
46 46
  ///
47 47
  /// Check whether the given undirected graph is connected.
48 48
  /// \param graph The undirected graph.
49 49
  /// \return \c true when there is path between any two nodes in the graph.
... ...
@@ -60,13 +60,13 @@
60 60
        return false;
61 61
      }
62 62
    }
63 63
    return true;
64 64
  }
65 65

	
66
  /// \ingroup connectivity
66
  /// \ingroup graph_properties
67 67
  ///
68 68
  /// \brief Count the number of connected components of an undirected graph
69 69
  ///
70 70
  /// Count the number of connected components of an undirected graph
71 71
  ///
72 72
  /// \param graph The graph. It must be undirected.
... ...
@@ -102,25 +102,27 @@
102 102
        ++compNum;
103 103
      }
104 104
    }
105 105
    return compNum;
106 106
  }
107 107

	
108
  /// \ingroup connectivity
108
  /// \ingroup graph_properties
109 109
  ///
110 110
  /// \brief Find the connected components of an undirected graph
111 111
  ///
112 112
  /// Find the connected components of an undirected graph.
113 113
  ///
114
  /// \image html connected_components.png
115
  /// \image latex connected_components.eps "Connected components" width=\textwidth
116
  ///
114 117
  /// \param graph The graph. It must be undirected.
115 118
  /// \retval compMap A writable node map. The values will be set from 0 to
116 119
  /// the number of the connected components minus one. Each values of the map
117 120
  /// will be set exactly once, the values of a certain component will be
118 121
  /// set continuously.
119 122
  /// \return The number of components
120
  ///
121 123
  template <class Graph, class NodeMap>
122 124
  int connectedComponents(const Graph &graph, NodeMap &compMap) {
123 125
    checkConcept<concepts::Graph, Graph>();
124 126
    typedef typename Graph::Node Node;
125 127
    typedef typename Graph::Arc Arc;
126 128
    checkConcept<concepts::WriteMap<Node, int>, NodeMap>();
... ...
@@ -224,13 +226,13 @@
224 226
      int _num;
225 227
    };
226 228

	
227 229
  }
228 230

	
229 231

	
230
  /// \ingroup connectivity
232
  /// \ingroup graph_properties
231 233
  ///
232 234
  /// \brief Check whether the given directed graph is strongly connected.
233 235
  ///
234 236
  /// Check whether the given directed graph is strongly connected. The
235 237
  /// graph is strongly connected when any two nodes of the graph are
236 238
  /// connected with directed paths in both direction.
... ...
@@ -282,13 +284,13 @@
282 284
      }
283 285
    }
284 286

	
285 287
    return true;
286 288
  }
287 289

	
288
  /// \ingroup connectivity
290
  /// \ingroup graph_properties
289 291
  ///
290 292
  /// \brief Count the strongly connected components of a directed graph
291 293
  ///
292 294
  /// Count the strongly connected components of a directed graph.
293 295
  /// The strongly connected components are the classes of an
294 296
  /// equivalence relation on the nodes of the graph. Two nodes are in
... ...
@@ -346,31 +348,33 @@
346 348
        ++compNum;
347 349
      }
348 350
    }
349 351
    return compNum;
350 352
  }
351 353

	
352
  /// \ingroup connectivity
354
  /// \ingroup graph_properties
353 355
  ///
354 356
  /// \brief Find the strongly connected components of a directed graph
355 357
  ///
356 358
  /// Find the strongly connected components of a directed graph.  The
357 359
  /// strongly connected components are the classes of an equivalence
358 360
  /// relation on the nodes of the graph. Two nodes are in
359 361
  /// relationship when there are directed paths between them in both
360 362
  /// direction. In addition, the numbering of components will satisfy
361 363
  /// that there is no arc going from a higher numbered component to
362 364
  /// a lower.
363 365
  ///
366
  /// \image html strongly_connected_components.png
367
  /// \image latex strongly_connected_components.eps "Strongly connected components" width=\textwidth
368
  ///
364 369
  /// \param digraph The digraph.
365 370
  /// \retval compMap A writable node map. The values will be set from 0 to
366 371
  /// the number of the strongly connected components minus one. Each value
367 372
  /// of the map will be set exactly once, the values of a certain component
368 373
  /// will be set continuously.
369 374
  /// \return The number of components
370
  ///
371 375
  template <typename Digraph, typename NodeMap>
372 376
  int stronglyConnectedComponents(const Digraph& digraph, NodeMap& compMap) {
373 377
    checkConcept<concepts::Digraph, Digraph>();
374 378
    typedef typename Digraph::Node Node;
375 379
    typedef typename Digraph::NodeIt NodeIt;
376 380
    checkConcept<concepts::WriteMap<Node, int>, NodeMap>();
... ...
@@ -413,13 +417,13 @@
413 417
        ++compNum;
414 418
      }
415 419
    }
416 420
    return compNum;
417 421
  }
418 422

	
419
  /// \ingroup connectivity
423
  /// \ingroup graph_properties
420 424
  ///
421 425
  /// \brief Find the cut arcs of the strongly connected components.
422 426
  ///
423 427
  /// Find the cut arcs of the strongly connected components.
424 428
  /// The strongly connected components are the classes of an equivalence
425 429
  /// relation on the nodes of the graph. Two nodes are in relationship
... ...
@@ -697,13 +701,13 @@
697 701

	
698 702
  }
699 703

	
700 704
  template <typename Graph>
701 705
  int countBiNodeConnectedComponents(const Graph& graph);
702 706

	
703
  /// \ingroup connectivity
707
  /// \ingroup graph_properties
704 708
  ///
705 709
  /// \brief Checks the graph is bi-node-connected.
706 710
  ///
707 711
  /// This function checks that the undirected graph is bi-node-connected
708 712
  /// graph. The graph is bi-node-connected if any two undirected edge is
709 713
  /// on same circle.
... ...
@@ -712,13 +716,13 @@
712 716
  /// \return \c true when the graph bi-node-connected.
713 717
  template <typename Graph>
714 718
  bool biNodeConnected(const Graph& graph) {
715 719
    return countBiNodeConnectedComponents(graph) <= 1;
716 720
  }
717 721

	
718
  /// \ingroup connectivity
722
  /// \ingroup graph_properties
719 723
  ///
720 724
  /// \brief Count the biconnected components.
721 725
  ///
722 726
  /// This function finds the bi-node-connected components in an undirected
723 727
  /// graph. The biconnected components are the classes of an equivalence
724 728
  /// relation on the undirected edges. Two undirected edge is in relationship
... ...
@@ -747,28 +751,30 @@
747 751
        dfs.start();
748 752
      }
749 753
    }
750 754
    return compNum;
751 755
  }
752 756

	
753
  /// \ingroup connectivity
757
  /// \ingroup graph_properties
754 758
  ///
755 759
  /// \brief Find the bi-node-connected components.
756 760
  ///
757 761
  /// This function finds the bi-node-connected components in an undirected
758 762
  /// graph. The bi-node-connected components are the classes of an equivalence
759 763
  /// relation on the undirected edges. Two undirected edge are in relationship
760 764
  /// when they are on same circle.
761 765
  ///
766
  /// \image html node_biconnected_components.png
767
  /// \image latex node_biconnected_components.eps "bi-node-connected components" width=\textwidth
768
  ///
762 769
  /// \param graph The graph.
763 770
  /// \retval compMap A writable uedge map. The values will be set from 0
764 771
  /// to the number of the biconnected components minus one. Each values
765 772
  /// of the map will be set exactly once, the values of a certain component
766 773
  /// will be set continuously.
767 774
  /// \return The number of components.
768
  ///
769 775
  template <typename Graph, typename EdgeMap>
770 776
  int biNodeConnectedComponents(const Graph& graph,
771 777
                                EdgeMap& compMap) {
772 778
    checkConcept<concepts::Graph, Graph>();
773 779
    typedef typename Graph::NodeIt NodeIt;
774 780
    typedef typename Graph::Edge Edge;
... ...
@@ -790,13 +796,13 @@
790 796
        dfs.start();
791 797
      }
792 798
    }
793 799
    return compNum;
794 800
  }
795 801

	
796
  /// \ingroup connectivity
802
  /// \ingroup graph_properties
797 803
  ///
798 804
  /// \brief Find the bi-node-connected cut nodes.
799 805
  ///
800 806
  /// This function finds the bi-node-connected cut nodes in an undirected
801 807
  /// graph. The bi-node-connected components are the classes of an equivalence
802 808
  /// relation on the undirected edges. Two undirected edges are in
... ...
@@ -1020,13 +1026,13 @@
1020 1026
    };
1021 1027
  }
1022 1028

	
1023 1029
  template <typename Graph>
1024 1030
  int countBiEdgeConnectedComponents(const Graph& graph);
1025 1031

	
1026
  /// \ingroup connectivity
1032
  /// \ingroup graph_properties
1027 1033
  ///
1028 1034
  /// \brief Checks that the graph is bi-edge-connected.
1029 1035
  ///
1030 1036
  /// This function checks that the graph is bi-edge-connected. The undirected
1031 1037
  /// graph is bi-edge-connected when any two nodes are connected with two
1032 1038
  /// edge-disjoint paths.
... ...
@@ -1035,13 +1041,13 @@
1035 1041
  /// \return The number of components.
1036 1042
  template <typename Graph>
1037 1043
  bool biEdgeConnected(const Graph& graph) {
1038 1044
    return countBiEdgeConnectedComponents(graph) <= 1;
1039 1045
  }
1040 1046

	
1041
  /// \ingroup connectivity
1047
  /// \ingroup graph_properties
1042 1048
  ///
1043 1049
  /// \brief Count the bi-edge-connected components.
1044 1050
  ///
1045 1051
  /// This function count the bi-edge-connected components in an undirected
1046 1052
  /// graph. The bi-edge-connected components are the classes of an equivalence
1047 1053
  /// relation on the nodes. Two nodes are in relationship when they are
... ...
@@ -1070,28 +1076,30 @@
1070 1076
        dfs.start();
1071 1077
      }
1072 1078
    }
1073 1079
    return compNum;
1074 1080
  }
1075 1081

	
1076
  /// \ingroup connectivity
1082
  /// \ingroup graph_properties
1077 1083
  ///
1078 1084
  /// \brief Find the bi-edge-connected components.
1079 1085
  ///
1080 1086
  /// This function finds the bi-edge-connected components in an undirected
1081 1087
  /// graph. The bi-edge-connected components are the classes of an equivalence
1082 1088
  /// relation on the nodes. Two nodes are in relationship when they are
1083 1089
  /// connected at least two edge-disjoint paths.
1084 1090
  ///
1091
  /// \image html edge_biconnected_components.png
1092
  /// \image latex edge_biconnected_components.eps "bi-edge-connected components" width=\textwidth
1093
  ///
1085 1094
  /// \param graph The graph.
1086 1095
  /// \retval compMap A writable node map. The values will be set from 0 to
1087 1096
  /// the number of the biconnected components minus one. Each values
1088 1097
  /// of the map will be set exactly once, the values of a certain component
1089 1098
  /// will be set continuously.
1090 1099
  /// \return The number of components.
1091
  ///
1092 1100
  template <typename Graph, typename NodeMap>
1093 1101
  int biEdgeConnectedComponents(const Graph& graph, NodeMap& compMap) {
1094 1102
    checkConcept<concepts::Graph, Graph>();
1095 1103
    typedef typename Graph::NodeIt NodeIt;
1096 1104
    typedef typename Graph::Node Node;
1097 1105
    checkConcept<concepts::WriteMap<Node, int>, NodeMap>();
... ...
@@ -1112,13 +1120,13 @@
1112 1120
        dfs.start();
1113 1121
      }
1114 1122
    }
1115 1123
    return compNum;
1116 1124
  }
1117 1125

	
1118
  /// \ingroup connectivity
1126
  /// \ingroup graph_properties
1119 1127
  ///
1120 1128
  /// \brief Find the bi-edge-connected cut edges.
1121 1129
  ///
1122 1130
  /// This function finds the bi-edge-connected components in an undirected
1123 1131
  /// graph. The bi-edge-connected components are the classes of an equivalence
1124 1132
  /// relation on the nodes. Two nodes are in relationship when they are
... ...
@@ -1176,13 +1184,13 @@
1176 1184
      IntNodeMap& _order;
1177 1185
      int _num;
1178 1186
    };
1179 1187

	
1180 1188
  }
1181 1189

	
1182
  /// \ingroup connectivity
1190
  /// \ingroup graph_properties
1183 1191
  ///
1184 1192
  /// \brief Sort the nodes of a DAG into topolgical order.
1185 1193
  ///
1186 1194
  /// Sort the nodes of a DAG into topolgical order.
1187 1195
  ///
1188 1196
  /// \param graph The graph. It must be directed and acyclic.
... ...
@@ -1215,13 +1223,13 @@
1215 1223
        dfs.addSource(it);
1216 1224
        dfs.start();
1217 1225
      }
1218 1226
    }
1219 1227
  }
1220 1228

	
1221
  /// \ingroup connectivity
1229
  /// \ingroup graph_properties
1222 1230
  ///
1223 1231
  /// \brief Sort the nodes of a DAG into topolgical order.
1224 1232
  ///
1225 1233
  /// Sort the nodes of a DAG into topolgical order. It also checks
1226 1234
  /// that the given graph is DAG.
1227 1235
  ///
... ...
@@ -1270,13 +1278,13 @@
1270 1278
         }
1271 1279
      }
1272 1280
    }
1273 1281
    return true;
1274 1282
  }
1275 1283

	
1276
  /// \ingroup connectivity
1284
  /// \ingroup graph_properties
1277 1285
  ///
1278 1286
  /// \brief Check that the given directed graph is a DAG.
1279 1287
  ///
1280 1288
  /// Check that the given directed graph is a DAG. The DAG is
1281 1289
  /// an Directed Acyclic Digraph.
1282 1290
  /// \return \c false when the graph is not DAG.
... ...
@@ -1312,13 +1320,13 @@
1312 1320
        }
1313 1321
      }
1314 1322
    }
1315 1323
    return true;
1316 1324
  }
1317 1325

	
1318
  /// \ingroup connectivity
1326
  /// \ingroup graph_properties
1319 1327
  ///
1320 1328
  /// \brief Check that the given undirected graph is acyclic.
1321 1329
  ///
1322 1330
  /// Check that the given undirected graph acyclic.
1323 1331
  /// \param graph The undirected graph.
1324 1332
  /// \return \c true when there is no circle in the graph.
... ...
@@ -1346,13 +1354,13 @@
1346 1354
        }
1347 1355
      }
1348 1356
    }
1349 1357
    return true;
1350 1358
  }
1351 1359

	
1352
  /// \ingroup connectivity
1360
  /// \ingroup graph_properties
1353 1361
  ///
1354 1362
  /// \brief Check that the given undirected graph is tree.
1355 1363
  ///
1356 1364
  /// Check that the given undirected graph is tree.
1357 1365
  /// \param graph The undirected graph.
1358 1366
  /// \return \c true when the graph is acyclic and connected.
... ...
@@ -1438,13 +1446,13 @@
1438 1446
      const Digraph& _graph;
1439 1447
      PartMap& _part;
1440 1448
      bool& _bipartite;
1441 1449
    };
1442 1450
  }
1443 1451

	
1444
  /// \ingroup connectivity
1452
  /// \ingroup graph_properties
1445 1453
  ///
1446 1454
  /// \brief Check if the given undirected graph is bipartite or not
1447 1455
  ///
1448 1456
  /// The function checks if the given undirected \c graph graph is bipartite
1449 1457
  /// or not. The \ref Bfs algorithm is used to calculate the result.
1450 1458
  /// \param graph The undirected graph.
... ...
@@ -1475,20 +1483,24 @@
1475 1483
        }
1476 1484
      }
1477 1485
    }
1478 1486
    return true;
1479 1487
  }
1480 1488

	
1481
  /// \ingroup connectivity
1489
  /// \ingroup graph_properties
1482 1490
  ///
1483 1491
  /// \brief Check if the given undirected graph is bipartite or not
1484 1492
  ///
1485 1493
  /// The function checks if the given undirected graph is bipartite
1486 1494
  /// or not. The  \ref  Bfs  algorithm  is   used  to  calculate the result.
1487 1495
  /// During the execution, the \c partMap will be set as the two
1488 1496
  /// partitions of the graph.
1497
  ///
1498
  /// \image html bipartite_partitions.png
1499
  /// \image latex bipartite_partitions.eps "Bipartite partititions" width=\textwidth
1500
  ///
1489 1501
  /// \param graph The undirected graph.
1490 1502
  /// \retval partMap A writable bool map of nodes. It will be set as the
1491 1503
  /// two partitions of the graph.
1492 1504
  /// \return \c true if \c graph is bipartite, \c false otherwise.
1493 1505
  template<typename Graph, typename NodeMap>
1494 1506
  inline bool bipartitePartitions(const Graph &graph, NodeMap &partMap){
Ignore white space 6 line context
... ...
@@ -21,25 +21,25 @@
21 21

	
22 22
#include<lemon/core.h>
23 23
#include<lemon/adaptors.h>
24 24
#include<lemon/connectivity.h>
25 25
#include <list>
26 26

	
27
/// \ingroup graph_prop
27
/// \ingroup graph_properties
28 28
/// \file
29 29
/// \brief Euler tour
30 30
///
31 31
///This file provides an Euler tour iterator and ways to check
32 32
///if a digraph is euler.
33 33

	
34 34

	
35 35
namespace lemon {
36 36

	
37 37
  ///Euler iterator for digraphs.
38 38

	
39
  /// \ingroup graph_prop
39
  /// \ingroup graph_properties
40 40
  ///This iterator converts to the \c Arc type of the digraph and using
41 41
  ///operator ++, it provides an Euler tour of a \e directed
42 42
  ///graph (if there exists).
43 43
  ///
44 44
  ///For example
45 45
  ///if the given digraph is Euler (i.e it has only one nontrivial component
... ...
@@ -120,13 +120,13 @@
120 120
      return e;
121 121
    }
122 122
  };
123 123

	
124 124
  ///Euler iterator for graphs.
125 125

	
126
  /// \ingroup graph_prop
126
  /// \ingroup graph_properties
127 127
  ///This iterator converts to the \c Arc (or \c Edge)
128 128
  ///type of the digraph and using
129 129
  ///operator ++, it provides an Euler tour of an undirected
130 130
  ///digraph (if there exists).
131 131
  ///
132 132
  ///For example
... ...
@@ -225,13 +225,13 @@
225 225
    }
226 226
  };
227 227

	
228 228

	
229 229
  ///Checks if the graph is Eulerian
230 230

	
231
  /// \ingroup graph_prop
231
  /// \ingroup graph_properties
232 232
  ///Checks if the graph is Eulerian. It works for both directed and undirected
233 233
  ///graphs.
234 234
  ///\note By definition, a digraph is called \e Eulerian if
235 235
  ///and only if it is connected and the number of its incoming and outgoing
236 236
  ///arcs are the same for each node.
237 237
  ///Similarly, an undirected graph is called \e Eulerian if
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