LEMON/LEMON-main Changeset - r734:bd72f8d20f33

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Changeset - r734:bd72f8d20f33

« 687:fb9389

735:853fcd »

r734:bd72f8d20f33

Sun, 23 Aug 2009 11:07:50

[Not Reviewed]

0 comments (0 inline)

kpeter (Peter Kovacs)
kpeter@inf.elte.hu

Doc improvements and unification for graph concepts (#311)

0 3 0

default

3 files changed with 507 insertions and 486 deletions:

lemon/concepts/digraph.h

168

167

lemon/concepts/graph.h

338

318

lemon/concepts/graph_components.h

↑ Collapse diff ↑

lemon/concepts/digraph.h

Show inline comments

@@ -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.
+		      /// This iterator goes through each node of the digraph.
 		      /// Its usage is quite simple, for example you can count the number
 		      /// of nodes in digraph \c g of type \c Digraph like this:
+		      /// 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
 		      /// 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.
 		      /// 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.
+		      /// 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:
+		      /// 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) :

lemon/concepts/graph.h

Show inline comments

@@ -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.
+		      /// This iterator goes through each node of the graph.
 		      /// Its usage is quite simple, for example you can count the number
 		      /// of nodes in graph \c g of type \c Graph like this:
+		      /// 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.
+		      /// 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:
+		      /// 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.
 		      ///
+		      /// 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. count the number of incident arcs of a node \c n
 		      /// in graph \c g of type \c Graph as follows.
 		      /// 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.
+		      /// 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:
+		      /// 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.
 		      /// 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.
 		      /// 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 outgoing arcs of a node \c n
 		      /// in graph \c g of type \c Graph as follows.
 		      /// 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 {

lemon/concepts/graph_components.h

Show inline comments

@@ -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; }

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