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 // Copyright (C) 2009 Andrew Sutton
 
 // Use, modification and distribution is subject to the Boost Software
 // License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
 // http://www.boost.org/LICENSE_1_0.txt)
 
 #ifndef BOOST_GRAPH_LABELED_GRAPH_HPP
 #define BOOST_GRAPH_LABELED_GRAPH_HPP
 
 #include <boost/config.hpp>
 #include <vector>
 #include <map>
 
 #include <boost/static_assert.hpp>
 #include <boost/mpl/if.hpp>
 #include <boost/mpl/bool.hpp>
 #include <boost/unordered_map.hpp>
 #include <boost/type_traits/is_same.hpp>
 #include <boost/type_traits/is_unsigned.hpp>
 #include <boost/pending/container_traits.hpp>
 #include <boost/graph/adjacency_list.hpp>
 #include <boost/graph/graph_traits.hpp>
 #include <boost/property_map/property_map.hpp>
 
 // This file implements a utility for creating mappings from arbitrary
 // identifiers to the vertices of a graph.
 
 namespace boost
 {
 
 // A type selector that denotes the use of some default value.
 struct defaultS
 {
 };
 
 /** @internal */
 namespace graph_detail
 {
     /** Returns true if the selector is the default selector. */
     template < typename Selector >
     struct is_default : mpl::bool_< is_same< Selector, defaultS >::value >
     {
     };
 
     /**
      * Choose the default map instance. If Label is an unsigned integral type
      * the we can use a vector to store the information.
      */
     template < typename Label, typename Vertex > struct choose_default_map
     {
         typedef typename mpl::if_< is_unsigned< Label >, std::vector< Vertex >,
             std::map< Label, Vertex > // TODO: Should use unordered_map?
             >::type type;
     };
 
     /**
      * @name Generate Label Map
      * These type generators are responsible for instantiating an associative
      * container for the the labeled graph. Note that the Selector must be
      * select a pair associative container or a vecS, which is only valid if
      * Label is an integral type.
      */
     //@{
     template < typename Selector, typename Label, typename Vertex >
     struct generate_label_map
     {
     };
 
     template < typename Label, typename Vertex >
     struct generate_label_map< vecS, Label, Vertex >
     {
         typedef std::vector< Vertex > type;
     };
 
     template < typename Label, typename Vertex >
     struct generate_label_map< mapS, Label, Vertex >
     {
         typedef std::map< Label, Vertex > type;
     };
 
     template < typename Label, typename Vertex >
     struct generate_label_map< multimapS, Label, Vertex >
     {
         typedef std::multimap< Label, Vertex > type;
     };
 
     template < typename Label, typename Vertex >
     struct generate_label_map< hash_mapS, Label, Vertex >
     {
         typedef boost::unordered_map< Label, Vertex > type;
     };
 
     template < typename Label, typename Vertex >
     struct generate_label_map< hash_multimapS, Label, Vertex >
     {
         typedef boost::unordered_multimap< Label, Vertex > type;
     };
 
     template < typename Selector, typename Label, typename Vertex >
     struct choose_custom_map
     {
         typedef
             typename generate_label_map< Selector, Label, Vertex >::type type;
     };
     //@}
 
     /**
      * Choose and instantiate an "associative" container. Note that this can
      * also choose vector.
      */
     template < typename Selector, typename Label, typename Vertex >
     struct choose_map
     {
         typedef typename mpl::eval_if< is_default< Selector >,
             choose_default_map< Label, Vertex >,
             choose_custom_map< Selector, Label, Vertex > >::type type;
     };
 
     /** @name Insert Labeled Vertex */
     //@{
     // Tag dispatch on random access containers (i.e., vectors). This function
     // basically requires a) that Container is vector<Label> and that Label
     // is an unsigned integral value. Note that this will resize the vector
     // to accommodate indices.
     template < typename Container, typename Graph, typename Label,
         typename Prop >
     std::pair< typename graph_traits< Graph >::vertex_descriptor, bool >
     insert_labeled_vertex(Container& c, Graph& g, Label const& l, Prop const& p,
         random_access_container_tag)
     {
         typedef typename graph_traits< Graph >::vertex_descriptor Vertex;
 
         // If the label is out of bounds, resize the vector to accommodate.
         // Resize by 2x the index so we don't cause quadratic insertions over
         // time.
         if (l >= c.size())
         {
             c.resize((l + 1) * 2);
         }
         Vertex v = add_vertex(p, g);
         c[l] = v;
         return std::make_pair(c[l], true);
     }
 
     // Tag dispatch on multi associative containers (i.e. multimaps).
     template < typename Container, typename Graph, typename Label,
         typename Prop >
     std::pair< typename graph_traits< Graph >::vertex_descriptor, bool >
     insert_labeled_vertex(Container& c, Graph& g, Label const& l, Prop const& p,
         multiple_associative_container_tag const&)
     {
         // Note that insertion always succeeds so we can add the vertex first
         // and then the mapping to the label.
         typedef typename graph_traits< Graph >::vertex_descriptor Vertex;
         Vertex v = add_vertex(p, g);
         c.insert(std::make_pair(l, v));
         return std::make_pair(v, true);
     }
 
     // Tag dispatch on unique associative containers (i.e. maps).
     template < typename Container, typename Graph, typename Label,
         typename Prop >
     std::pair< typename graph_traits< Graph >::vertex_descriptor, bool >
     insert_labeled_vertex(Container& c, Graph& g, Label const& l, Prop const& p,
         unique_associative_container_tag)
     {
         // Here, we actually have to try the insertion first, and only add
         // the vertex if we get a new element.
         typedef typename graph_traits< Graph >::vertex_descriptor Vertex;
         typedef typename Container::iterator Iterator;
         std::pair< Iterator, bool > x = c.insert(std::make_pair(l, Vertex()));
         if (x.second)
         {
             x.first->second = add_vertex(g);
             put(boost::vertex_all, g, x.first->second, p);
         }
         return std::make_pair(x.first->second, x.second);
     }
 
     // Dispatcher
     template < typename Container, typename Graph, typename Label,
         typename Prop >
     std::pair< typename graph_traits< Graph >::vertex_descriptor, bool >
     insert_labeled_vertex(Container& c, Graph& g, Label const& l, Prop const& p)
     {
         return insert_labeled_vertex(c, g, l, p, container_category(c));
     }
     //@}
 
     /** @name Find Labeled Vertex */
     //@{
     // Tag dispatch for sequential maps (i.e., vectors).
     template < typename Container, typename Graph, typename Label >
     typename graph_traits< Graph >::vertex_descriptor find_labeled_vertex(
         Container const& c, Graph const&, Label const& l,
         random_access_container_tag)
     {
         return l < c.size() ? c[l] : graph_traits< Graph >::null_vertex();
     }
 
     // Tag dispatch for pair associative maps (more or less).
     template < typename Container, typename Graph, typename Label >
     typename graph_traits< Graph >::vertex_descriptor find_labeled_vertex(
         Container const& c, Graph const&, Label const& l,
         associative_container_tag)
     {
         typename Container::const_iterator i = c.find(l);
         return i != c.end() ? i->second : graph_traits< Graph >::null_vertex();
     }
 
     // Dispatcher
     template < typename Container, typename Graph, typename Label >
     typename graph_traits< Graph >::vertex_descriptor find_labeled_vertex(
         Container const& c, Graph const& g, Label const& l)
     {
         return find_labeled_vertex(c, g, l, container_category(c));
     }
     //@}
 
     /** @name Put Vertex Label */
     //@{
     // Tag dispatch on vectors.
     template < typename Container, typename Label, typename Graph,
         typename Vertex >
     bool put_vertex_label(Container& c, Graph const&, Label const& l, Vertex v,
         random_access_container_tag)
     {
         // If the element is already occupied, then we probably don't want to
         // overwrite it.
         if (c[l] == graph_traits< Graph >::null_vertex())
             return false;
         c[l] = v;
         return true;
     }
 
     // Attempt the insertion and return its result.
     template < typename Container, typename Label, typename Graph,
         typename Vertex >
     bool put_vertex_label(Container& c, Graph const&, Label const& l, Vertex v,
         unique_associative_container_tag)
     {
         return c.insert(std::make_pair(l, v)).second;
     }
 
     // Insert the pair and return true.
     template < typename Container, typename Label, typename Graph,
         typename Vertex >
     bool put_vertex_label(Container& c, Graph const&, Label const& l, Vertex v,
         multiple_associative_container_tag)
     {
         c.insert(std::make_pair(l, v));
         return true;
     }
 
     // Dispatcher
     template < typename Container, typename Label, typename Graph,
         typename Vertex >
     bool put_vertex_label(
         Container& c, Graph const& g, Label const& l, Vertex v)
     {
         return put_vertex_label(c, g, l, v, container_category(c));
     }
     //@}
 
     /** @name Remove Labeled Vertex */
     //@{
     // Tag dispatch on random access containers (i.e., vectors)
     template <typename Container, typename Label, typename Graph>
     void remove_labeled_vertex(Container& c, Graph& g, Label const& l,
         random_access_container_tag)
     {
         if (l < c.size())
         {
             boost::remove_vertex(c[l], g);
             c.erase(c.begin() + l);
         }
     }
 
     // Tag dispatch on multi associative containers (i.e. multimaps).
     template <typename Container, typename Label, typename Graph>
     void remove_labeled_vertex(Container& c, Graph& g, Label const& l,
         multiple_associative_container_tag)
     {
         typename Container::iterator c_it = c.find(l);
         if (c_it != c.end())
         {
             boost::remove_vertex(c_it->second, g);
             c.erase(c_it);
         }
     }
 
     // Tag dispatch on unique associative containers (i.e. maps).
     template <typename Container, typename Label, typename Graph>
     void remove_labeled_vertex(Container& c, Graph& g, Label const& l,
         unique_associative_container_tag)
     {
         typename Container::iterator c_it = c.find(l);
         if (c_it != c.end())
         {
             boost::remove_vertex(c_it->second, g);
             c.erase(c_it);
         }
     }
 
     // Dispatcher
     template <typename Container, typename Label, typename Graph>
     void remove_labeled_vertex(Container& c, Graph& g, Label const& l)
     {
         remove_labeled_vertex(c, g, l, container_category(c));
     }
     //@}
 
 } // namespace detail
 
 struct labeled_graph_class_tag
 {
 };
 
 /** @internal
  * This class is responsible for the deduction and declaration of type names
  * for the labeled_graph class template.
  */
 template < typename Graph, typename Label, typename Selector >
 struct labeled_graph_types
 {
     typedef Graph graph_type;
 
     // Label and maps
     typedef Label label_type;
     typedef typename graph_detail::choose_map< Selector, Label,
         typename graph_traits< Graph >::vertex_descriptor >::type map_type;
 };
 
 /**
  * The labeled_graph class is a graph adaptor that maintains a mapping between
  * vertex labels and vertex descriptors.
  *
  * @todo This class is somewhat redundant for adjacency_list<*, vecS>  if
  * the intended label is an unsigned int (and perhaps some other cases), but
  * it does avoid some weird ambiguities (i.e. adding a vertex with a label that
  * does not match its target index).
  *
  * @todo This needs to be reconciled with the named_graph, but since there is
  * no documentation or examples, its not going to happen.
  */
 template < typename Graph, typename Label, typename Selector = defaultS >
 class labeled_graph : protected labeled_graph_types< Graph, Label, Selector >
 {
     typedef labeled_graph_types< Graph, Label, Selector > Base;
 
 public:
     typedef labeled_graph_class_tag graph_tag;
 
     typedef typename Base::graph_type graph_type;
     typedef typename graph_traits< graph_type >::vertex_descriptor
         vertex_descriptor;
     typedef
         typename graph_traits< graph_type >::edge_descriptor edge_descriptor;
     typedef typename graph_traits< graph_type >::directed_category
         directed_category;
     typedef typename graph_traits< graph_type >::edge_parallel_category
         edge_parallel_category;
     typedef typename graph_traits< graph_type >::traversal_category
         traversal_category;
 
     typedef typename graph_traits< graph_type >::out_edge_iterator
         out_edge_iterator;
     typedef
         typename graph_traits< graph_type >::in_edge_iterator in_edge_iterator;
     typedef typename graph_traits< graph_type >::adjacency_iterator
         adjacency_iterator;
     typedef
         typename graph_traits< graph_type >::degree_size_type degree_size_type;
 
     typedef
         typename graph_traits< graph_type >::vertex_iterator vertex_iterator;
     typedef typename graph_traits< graph_type >::vertices_size_type
         vertices_size_type;
     typedef typename graph_traits< graph_type >::edge_iterator edge_iterator;
     typedef
         typename graph_traits< graph_type >::edges_size_type edges_size_type;
 
     typedef typename graph_type::graph_property_type graph_property_type;
     typedef typename graph_type::graph_bundled graph_bundled;
 
     typedef typename graph_type::vertex_property_type vertex_property_type;
     typedef typename graph_type::vertex_bundled vertex_bundled;
 
     typedef typename graph_type::edge_property_type edge_property_type;
     typedef typename graph_type::edge_bundled edge_bundled;
 
     typedef typename Base::label_type label_type;
     typedef typename Base::map_type map_type;
 
 public:
     labeled_graph(graph_property_type const& gp = graph_property_type())
     : _graph(gp), _map()
     {
     }
 
     labeled_graph(labeled_graph const& x) : _graph(x._graph), _map(x._map) {}
 
     // This constructor can only be used if map_type supports positional
     // range insertion (i.e. its a vector). This is the only case where we can
     // try to guess the intended labels for graph.
     labeled_graph(vertices_size_type n,
         graph_property_type const& gp = graph_property_type())
     : _graph(n, gp), _map()
     {
         std::pair< vertex_iterator, vertex_iterator > rng = vertices(_graph);
         _map.insert(_map.end(), rng.first, rng.second);
     }
 
     // Construct a graph over n vertices, each of which receives a label from
     // the range [l, l + n). Note that the graph is not directly constructed
     // over the n vertices, but added sequentially. This constructor is
     // necessarily slower than the underlying counterpart.
     template < typename LabelIter >
     labeled_graph(vertices_size_type n, LabelIter l,
         graph_property_type const& gp = graph_property_type())
     : _graph(gp)
     {
         while (n-- > 0)
             add_vertex(*l++);
     }
 
     // Construct the graph over n vertices each of which has a label in the
     // range [l, l + n) and a property in the range [p, p + n).
     template < typename LabelIter, typename PropIter >
     labeled_graph(vertices_size_type n, LabelIter l, PropIter p,
         graph_property_type const& gp = graph_property_type())
     : _graph(gp)
     {
         while (n-- > 0)
             add_vertex(*l++, *p++);
     }
 
     labeled_graph& operator=(labeled_graph const& x)
     {
         _graph = x._graph;
         _map = x._map;
         return *this;
     }
 
     /** @name Graph Accessors */
     //@{
     graph_type& graph() { return _graph; }
     graph_type const& graph() const { return _graph; }
     //@}
 
     /**
      * Create a new label for the given vertex, returning false, if the label
      * cannot be created.
      */
     bool label_vertex(vertex_descriptor v, Label const& l)
     {
         return graph_detail::put_vertex_label(_map, _graph, l, v);
     }
 
     /** @name Add Vertex
      * Add a vertex to the graph, returning the descriptor. If the vertices
      * are uniquely labeled and the label already exists within the graph,
      * then no vertex is added, and the returned descriptor refers to the
      * existing vertex. A vertex property can be given as a parameter, if
      * needed.
      */
     //@{
     vertex_descriptor add_vertex(Label const& l)
     {
         return graph_detail::insert_labeled_vertex(
             _map, _graph, l, vertex_property_type())
             .first;
     }
 
     vertex_descriptor add_vertex(Label const& l, vertex_property_type const& p)
     {
         return graph_detail::insert_labeled_vertex(_map, _graph, l, p).first;
     }
     //@}
 
     /** @name Insert Vertex
      * Insert a vertex into the graph, returning a pair containing the
      * descriptor of a vertex and a boolean value that describes whether or not
      * a new vertex was inserted. If vertices are not uniquely labeled, then
      * insertion will always succeed.
      */
     //@{
     std::pair< vertex_descriptor, bool > insert_vertex(Label const& l)
     {
         return graph_detail::insert_labeled_vertex(
             _map, _graph, l, vertex_property_type());
     }
 
     std::pair< vertex_descriptor, bool > insert_vertex(
         Label const& l, vertex_property_type const& p)
     {
         return graph_detail::insert_labeled_vertex(_map, _graph, l, p);
     }
     //@}
 
     /** Remove the vertex with the given label. */
     void remove_vertex(Label const& l)
     {
         return graph_detail::remove_labeled_vertex(_map, _graph, l);
     }
 
     /** Return a descriptor for the given label. */
     vertex_descriptor vertex(Label const& l) const
     {
         return graph_detail::find_labeled_vertex(_map, _graph, l);
     }
 
 #ifndef BOOST_GRAPH_NO_BUNDLED_PROPERTIES
     /** @name Bundled Properties */
     //@{
     // Lookup the requested vertex and return the bundle.
     vertex_bundled& operator[](Label const& l) { return _graph[vertex(l)]; }
 
     vertex_bundled const& operator[](Label const& l) const
     {
         return _graph[vertex(l)];
     }
 
     // Delegate edge lookup to the underlying graph.
     edge_bundled& operator[](edge_descriptor e) { return _graph[e]; }
 
     edge_bundled const& operator[](edge_descriptor e) const
     {
         return _graph[e];
     }
     //@}
 #endif
 
     /** Return a null descriptor */
     static vertex_descriptor null_vertex()
     {
         return graph_traits< graph_type >::null_vertex();
     }
 
 private:
     graph_type _graph;
     map_type _map;
 };
 
 /**
  * The partial specialization over graph pointers allows the construction
  * of temporary labeled graph objects. In this case, the labels are destructed
  * when the wrapper goes out of scope.
  */
 template < typename Graph, typename Label, typename Selector >
 class labeled_graph< Graph*, Label, Selector >
 : protected labeled_graph_types< Graph, Label, Selector >
 {
     typedef labeled_graph_types< Graph, Label, Selector > Base;
 
 public:
     typedef labeled_graph_class_tag graph_tag;
 
     typedef typename Base::graph_type graph_type;
     typedef typename graph_traits< graph_type >::vertex_descriptor
         vertex_descriptor;
     typedef
         typename graph_traits< graph_type >::edge_descriptor edge_descriptor;
     typedef typename graph_traits< graph_type >::directed_category
         directed_category;
     typedef typename graph_traits< graph_type >::edge_parallel_category
         edge_parallel_category;
     typedef typename graph_traits< graph_type >::traversal_category
         traversal_category;
 
     typedef typename graph_traits< graph_type >::out_edge_iterator
         out_edge_iterator;
     typedef
         typename graph_traits< graph_type >::in_edge_iterator in_edge_iterator;
     typedef typename graph_traits< graph_type >::adjacency_iterator
         adjacency_iterator;
     typedef
         typename graph_traits< graph_type >::degree_size_type degree_size_type;
 
     typedef
         typename graph_traits< graph_type >::vertex_iterator vertex_iterator;
     typedef typename graph_traits< graph_type >::vertices_size_type
         vertices_size_type;
     typedef typename graph_traits< graph_type >::edge_iterator edge_iterator;
     typedef
         typename graph_traits< graph_type >::edges_size_type edges_size_type;
 
     typedef typename graph_type::vertex_property_type vertex_property_type;
     typedef typename graph_type::edge_property_type edge_property_type;
     typedef typename graph_type::graph_property_type graph_property_type;
     typedef typename graph_type::vertex_bundled vertex_bundled;
     typedef typename graph_type::edge_bundled edge_bundled;
 
     typedef typename Base::label_type label_type;
     typedef typename Base::map_type map_type;
 
     labeled_graph(graph_type* g) : _graph(g) {}
 
     /** @name Graph Access */
     //@{
     graph_type& graph() { return *_graph; }
     graph_type const& graph() const { return *_graph; }
     //@}
 
     /**
      * Create a new label for the given vertex, returning false, if the label
      * cannot be created.
      */
     bool label_vertex(vertex_descriptor v, Label const& l)
     {
         return graph_detail::put_vertex_label(_map, *_graph, l, v);
     }
 
     /** @name Add Vertex */
     //@{
     vertex_descriptor add_vertex(Label const& l)
     {
         return graph_detail::insert_labeled_vertex(
             _map, *_graph, l, vertex_property_type())
             .first;
     }
 
     vertex_descriptor add_vertex(Label const& l, vertex_property_type const& p)
     {
         return graph_detail::insert_labeled_vertex(_map, *_graph, l, p).first;
     }
 
     std::pair< vertex_descriptor, bool > insert_vertex(Label const& l)
     {
         return graph_detail::insert_labeled_vertex(
             _map, *_graph, l, vertex_property_type());
     }
     //@}
 
     /** Try to insert a vertex with the given label. */
     std::pair< vertex_descriptor, bool > insert_vertex(
         Label const& l, vertex_property_type const& p)
     {
         return graph_detail::insert_labeled_vertex(_map, *_graph, l, p);
     }
 
     /** Remove the vertex with the given label. */
     void remove_vertex(Label const& l)
     {
         return boost::remove_vertex(vertex(l), *_graph);
     }
 
     /** Return a descriptor for the given label. */
     vertex_descriptor vertex(Label const& l) const
     {
         return graph_detail::find_labeled_vertex(_map, *_graph, l);
     }
 
 #ifndef BOOST_GRAPH_NO_BUNDLED_PROPERTIES
     /** @name Bundled Properties */
     //@{
     // Lookup the requested vertex and return the bundle.
     vertex_bundled& operator[](Label const& l) { return (*_graph)[vertex(l)]; }
 
     vertex_bundled const& operator[](Label const& l) const
     {
         return (*_graph)[vertex(l)];
     }
 
     // Delegate edge lookup to the underlying graph.
     edge_bundled& operator[](edge_descriptor e) { return (*_graph)[e]; }
 
     edge_bundled const& operator[](edge_descriptor e) const
     {
         return (*_graph)[e];
     }
     //@}
 #endif
 
     static vertex_descriptor null_vertex()
     {
         return graph_traits< graph_type >::null_vertex();
     }
 
 private:
     graph_type* _graph;
     map_type _map;
 };
 
 #define LABELED_GRAPH_PARAMS typename G, typename L, typename S
 #define LABELED_GRAPH labeled_graph< G, L, S >
 
 /** @name Labeled Graph */
 //@{
 template < LABELED_GRAPH_PARAMS >
 inline bool label_vertex(typename LABELED_GRAPH::vertex_descriptor v,
     typename LABELED_GRAPH::label_type const l, LABELED_GRAPH& g)
 {
     return g.label_vertex(v, l);
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline typename LABELED_GRAPH::vertex_descriptor vertex_by_label(
     typename LABELED_GRAPH::label_type const l, LABELED_GRAPH& g)
 {
     return g.vertex(l);
 }
 //@}
 
 /** @name Graph */
 //@{
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::edge_descriptor, bool > edge(
     typename LABELED_GRAPH::vertex_descriptor const& u,
     typename LABELED_GRAPH::vertex_descriptor const& v, LABELED_GRAPH const& g)
 {
     return edge(u, v, g.graph());
 }
 
 // Labeled Extensions
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::edge_descriptor, bool > edge_by_label(
     typename LABELED_GRAPH::label_type const& u,
     typename LABELED_GRAPH::label_type const& v, LABELED_GRAPH const& g)
 {
     return edge(g.vertex(u), g.vertex(v), g);
 }
 //@}
 
 /** @name Incidence Graph */
 //@{
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::out_edge_iterator,
     typename LABELED_GRAPH::out_edge_iterator >
 out_edges(typename LABELED_GRAPH::vertex_descriptor v, LABELED_GRAPH const& g)
 {
     return out_edges(v, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline typename LABELED_GRAPH::degree_size_type out_degree(
     typename LABELED_GRAPH::vertex_descriptor v, LABELED_GRAPH const& g)
 {
     return out_degree(v, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline typename LABELED_GRAPH::vertex_descriptor source(
     typename LABELED_GRAPH::edge_descriptor e, LABELED_GRAPH const& g)
 {
     return source(e, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline typename LABELED_GRAPH::vertex_descriptor target(
     typename LABELED_GRAPH::edge_descriptor e, LABELED_GRAPH const& g)
 {
     return target(e, g.graph());
 }
 //@}
 
 /** @name Bidirectional Graph */
 //@{
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::in_edge_iterator,
     typename LABELED_GRAPH::in_edge_iterator >
 in_edges(typename LABELED_GRAPH::vertex_descriptor v, LABELED_GRAPH const& g)
 {
     return in_edges(v, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline typename LABELED_GRAPH::degree_size_type in_degree(
     typename LABELED_GRAPH::vertex_descriptor v, LABELED_GRAPH const& g)
 {
     return in_degree(v, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline typename LABELED_GRAPH::degree_size_type degree(
     typename LABELED_GRAPH::vertex_descriptor v, LABELED_GRAPH const& g)
 {
     return degree(v, g.graph());
 }
 //@}
 
 /** @name Adjacency Graph */
 //@{
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::adjacency_iterator,
     typename LABELED_GRAPH::adjacency_iterator >
 adjacent_vertices(
     typename LABELED_GRAPH::vertex_descriptor v, LABELED_GRAPH const& g)
 {
     return adjacent_vertices(v, g.graph());
 }
 //@}
 
 /** @name VertexListGraph */
 //@{
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::vertex_iterator,
     typename LABELED_GRAPH::vertex_iterator >
 vertices(LABELED_GRAPH const& g)
 {
     return vertices(g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline typename LABELED_GRAPH::vertices_size_type num_vertices(
     LABELED_GRAPH const& g)
 {
     return num_vertices(g.graph());
 }
 //@}
 
 /** @name EdgeListGraph */
 //@{
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::edge_iterator,
     typename LABELED_GRAPH::edge_iterator >
 edges(LABELED_GRAPH const& g)
 {
     return edges(g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline typename LABELED_GRAPH::edges_size_type num_edges(LABELED_GRAPH const& g)
 {
     return num_edges(g.graph());
 }
 //@}
 
 /** @internal @name Property Lookup */
 //@{
 namespace graph_detail
 {
     struct labeled_graph_vertex_property_selector
     {
         template < class LabeledGraph, class Property, class Tag > struct bind_
         {
             typedef typename LabeledGraph::graph_type Graph;
             typedef property_map< Graph, Tag > PropertyMap;
             typedef typename PropertyMap::type type;
             typedef typename PropertyMap::const_type const_type;
         };
     };
 
     struct labeled_graph_edge_property_selector
     {
         template < class LabeledGraph, class Property, class Tag > struct bind_
         {
             typedef typename LabeledGraph::graph_type Graph;
             typedef property_map< Graph, Tag > PropertyMap;
             typedef typename PropertyMap::type type;
             typedef typename PropertyMap::const_type const_type;
         };
     };
 }
 
 template <> struct vertex_property_selector< labeled_graph_class_tag >
 {
     typedef graph_detail::labeled_graph_vertex_property_selector type;
 };
 
 template <> struct edge_property_selector< labeled_graph_class_tag >
 {
     typedef graph_detail::labeled_graph_edge_property_selector type;
 };
 //@}
 
 /** @name Property Graph */
 //@{
 template < LABELED_GRAPH_PARAMS, typename Prop >
 inline typename property_map< LABELED_GRAPH, Prop >::type get(
     Prop p, LABELED_GRAPH& g)
 {
     return get(p, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS, typename Prop >
 inline typename property_map< LABELED_GRAPH, Prop >::const_type get(
     Prop p, LABELED_GRAPH const& g)
 {
     return get(p, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS, typename Prop, typename Key >
 inline typename property_traits< typename property_map<
     typename LABELED_GRAPH::graph_type, Prop >::const_type >::value_type
 get(Prop p, LABELED_GRAPH const& g, const Key& k)
 {
     return get(p, g.graph(), k);
 }
 
 template < LABELED_GRAPH_PARAMS, typename Prop, typename Key, typename Value >
 inline void put(Prop p, LABELED_GRAPH& g, Key const& k, Value const& v)
 {
     put(p, g.graph(), k, v);
 }
 //@}
 
 /** @name Mutable Graph */
 //@{
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::edge_descriptor, bool > add_edge(
     typename LABELED_GRAPH::vertex_descriptor const& u,
     typename LABELED_GRAPH::vertex_descriptor const& v, LABELED_GRAPH& g)
 {
     return add_edge(u, v, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::edge_descriptor, bool > add_edge(
     typename LABELED_GRAPH::vertex_descriptor const& u,
     typename LABELED_GRAPH::vertex_descriptor const& v,
     typename LABELED_GRAPH::edge_property_type const& p, LABELED_GRAPH& g)
 {
     return add_edge(u, v, p, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline void clear_vertex(
     typename LABELED_GRAPH::vertex_descriptor v, LABELED_GRAPH& g)
 {
     return clear_vertex(v, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline void remove_edge(
     typename LABELED_GRAPH::edge_descriptor e, LABELED_GRAPH& g)
 {
     return remove_edge(e, g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline void remove_edge(typename LABELED_GRAPH::vertex_descriptor u,
     typename LABELED_GRAPH::vertex_descriptor v, LABELED_GRAPH& g)
 {
     return remove_edge(u, v, g.graph());
 }
 
 // Labeled extensions
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::edge_descriptor, bool >
 add_edge_by_label(typename LABELED_GRAPH::label_type const& u,
     typename LABELED_GRAPH::label_type const& v, LABELED_GRAPH& g)
 {
     return add_edge(g.vertex(u), g.vertex(v), g);
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline std::pair< typename LABELED_GRAPH::edge_descriptor, bool >
 add_edge_by_label(typename LABELED_GRAPH::label_type const& u,
     typename LABELED_GRAPH::label_type const& v,
     typename LABELED_GRAPH::edge_property_type const& p, LABELED_GRAPH& g)
 {
     return add_edge(g.vertex(u), g.vertex(v), p, g);
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline void clear_vertex_by_label(
     typename LABELED_GRAPH::label_type const& l, LABELED_GRAPH& g)
 {
     clear_vertex(g.vertex(l), g.graph());
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline void remove_edge_by_label(typename LABELED_GRAPH::label_type const& u,
     typename LABELED_GRAPH::label_type const& v, LABELED_GRAPH& g)
 {
     remove_edge(g.vertex(u), g.vertex(v), g.graph());
 }
 //@}
 
 /** @name Labeled Mutable Graph
  * The labeled mutable graph hides the add_ and remove_ vertex functions from
  * the mutable graph concept. Note that the remove_vertex is hidden because
  * removing the vertex without its key could leave a dangling reference in
  * the map.
  */
 //@{
 template < LABELED_GRAPH_PARAMS >
 inline typename LABELED_GRAPH::vertex_descriptor add_vertex(
     typename LABELED_GRAPH::label_type const& l, LABELED_GRAPH& g)
 {
     return g.add_vertex(l);
 }
 
 // MutableLabeledPropertyGraph::add_vertex(l, vp, g)
 template < LABELED_GRAPH_PARAMS >
 inline typename LABELED_GRAPH::vertex_descriptor add_vertex(
     typename LABELED_GRAPH::label_type const& l,
     typename LABELED_GRAPH::vertex_property_type const& p, LABELED_GRAPH& g)
 {
     return g.add_vertex(l, p);
 }
 
 template < LABELED_GRAPH_PARAMS >
 inline void remove_vertex(
     typename LABELED_GRAPH::label_type const& l, LABELED_GRAPH& g)
 {
     g.remove_vertex(l);
 }
 //@}
 
 #undef LABELED_GRAPH_PARAMS
 #undef LABELED_GRAPH
 
 } // namespace boost
 
 // Pull the labeled graph traits
 #include <boost/graph/detail/labeled_graph_traits.hpp>
 
 #endif // BOOST_GRAPH_LABELED_GRAPH_HPP

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