414 lines
		
	
	
		
			15 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
			
		
		
	
	
			414 lines
		
	
	
		
			15 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
//
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//=======================================================================
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// Copyright 1997, 1998, 1999, 2000 University of Notre Dame.
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// Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek
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//
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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//=======================================================================
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//
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#ifndef BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP
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#define BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP
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/*
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  Breadth First Search Algorithm (Cormen, Leiserson, and Rivest p. 470)
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*/
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#include <boost/config.hpp>
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#include <vector>
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#include <boost/pending/queue.hpp>
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#include <boost/graph/graph_traits.hpp>
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#include <boost/graph/graph_concepts.hpp>
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#include <boost/graph/visitors.hpp>
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#include <boost/graph/named_function_params.hpp>
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#include <boost/graph/overloading.hpp>
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#include <boost/graph/graph_concepts.hpp>
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#include <boost/graph/two_bit_color_map.hpp>
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#include <boost/concept/assert.hpp>
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#ifdef BOOST_GRAPH_USE_MPI
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#include <boost/graph/distributed/concepts.hpp>
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#endif // BOOST_GRAPH_USE_MPI
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namespace boost {
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  template <class Visitor, class Graph>
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  struct BFSVisitorConcept {
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    void constraints() {
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      BOOST_CONCEPT_ASSERT(( CopyConstructibleConcept<Visitor> ));
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      vis.initialize_vertex(u, g);
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      vis.discover_vertex(u, g);
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      vis.examine_vertex(u, g);
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      vis.examine_edge(e, g);
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      vis.tree_edge(e, g);
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      vis.non_tree_edge(e, g);
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      vis.gray_target(e, g);
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      vis.black_target(e, g);
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      vis.finish_vertex(u, g);
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    }
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    Visitor vis;
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    Graph g;
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    typename graph_traits<Graph>::vertex_descriptor u;
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    typename graph_traits<Graph>::edge_descriptor e;
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  };
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  // Multiple-source version
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  template <class IncidenceGraph, class Buffer, class BFSVisitor,
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            class ColorMap, class SourceIterator>
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  void breadth_first_visit
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    (const IncidenceGraph& g,
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     SourceIterator sources_begin, SourceIterator sources_end,
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     Buffer& Q, BFSVisitor vis, ColorMap color)
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  {
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    BOOST_CONCEPT_ASSERT(( IncidenceGraphConcept<IncidenceGraph> ));
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    typedef graph_traits<IncidenceGraph> GTraits;
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    typedef typename GTraits::vertex_descriptor Vertex;
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    BOOST_CONCEPT_ASSERT(( BFSVisitorConcept<BFSVisitor, IncidenceGraph> ));
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    BOOST_CONCEPT_ASSERT(( ReadWritePropertyMapConcept<ColorMap, Vertex> ));
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    typedef typename property_traits<ColorMap>::value_type ColorValue;
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    typedef color_traits<ColorValue> Color;
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    typename GTraits::out_edge_iterator ei, ei_end;
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    for (; sources_begin != sources_end; ++sources_begin) {
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      Vertex s = *sources_begin;
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      put(color, s, Color::gray());           vis.discover_vertex(s, g);
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      Q.push(s);
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    }
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    while (! Q.empty()) {
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      Vertex u = Q.top(); Q.pop();            vis.examine_vertex(u, g);
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      for (boost::tie(ei, ei_end) = out_edges(u, g); ei != ei_end; ++ei) {
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        Vertex v = target(*ei, g);            vis.examine_edge(*ei, g);
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        ColorValue v_color = get(color, v);
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        if (v_color == Color::white()) {      vis.tree_edge(*ei, g);
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          put(color, v, Color::gray());       vis.discover_vertex(v, g);
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          Q.push(v);
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        } else {                              vis.non_tree_edge(*ei, g);
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          if (v_color == Color::gray())       vis.gray_target(*ei, g);
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          else                                vis.black_target(*ei, g);
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        }
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      } // end for
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      put(color, u, Color::black());          vis.finish_vertex(u, g);
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    } // end while
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  } // breadth_first_visit
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  // Single-source version
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  template <class IncidenceGraph, class Buffer, class BFSVisitor,
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            class ColorMap>
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  void breadth_first_visit
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    (const IncidenceGraph& g,
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     typename graph_traits<IncidenceGraph>::vertex_descriptor s,
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     Buffer& Q, BFSVisitor vis, ColorMap color)
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  {
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    typename graph_traits<IncidenceGraph>::vertex_descriptor sources[1] = {s};
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    breadth_first_visit(g, sources, sources + 1, Q, vis, color);
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  }
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  template <class VertexListGraph, class SourceIterator,
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            class Buffer, class BFSVisitor,
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            class ColorMap>
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  void breadth_first_search
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    (const VertexListGraph& g,
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     SourceIterator sources_begin, SourceIterator sources_end,
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     Buffer& Q, BFSVisitor vis, ColorMap color)
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  {
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    // Initialization
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    typedef typename property_traits<ColorMap>::value_type ColorValue;
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    typedef color_traits<ColorValue> Color;
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    typename boost::graph_traits<VertexListGraph>::vertex_iterator i, i_end;
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    for (boost::tie(i, i_end) = vertices(g); i != i_end; ++i) {
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      vis.initialize_vertex(*i, g);
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      put(color, *i, Color::white());
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    }
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    breadth_first_visit(g, sources_begin, sources_end, Q, vis, color);
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  }
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  template <class VertexListGraph, class Buffer, class BFSVisitor,
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            class ColorMap>
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  void breadth_first_search
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    (const VertexListGraph& g,
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     typename graph_traits<VertexListGraph>::vertex_descriptor s,
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     Buffer& Q, BFSVisitor vis, ColorMap color)
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  {
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    typename graph_traits<VertexListGraph>::vertex_descriptor sources[1] = {s};
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    breadth_first_search(g, sources, sources + 1, Q, vis, color);
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  }
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  namespace graph { struct bfs_visitor_event_not_overridden {}; }
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  template <class Visitors = null_visitor>
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  class bfs_visitor {
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  public:
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    bfs_visitor() { }
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    bfs_visitor(Visitors vis) : m_vis(vis) { }
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    template <class Vertex, class Graph>
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    graph::bfs_visitor_event_not_overridden
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    initialize_vertex(Vertex u, Graph& g)
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    {
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      invoke_visitors(m_vis, u, g, ::boost::on_initialize_vertex());
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      return graph::bfs_visitor_event_not_overridden();
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    }
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    template <class Vertex, class Graph>
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    graph::bfs_visitor_event_not_overridden
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    discover_vertex(Vertex u, Graph& g)
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    {
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      invoke_visitors(m_vis, u, g, ::boost::on_discover_vertex());
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      return graph::bfs_visitor_event_not_overridden();
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    }
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    template <class Vertex, class Graph>
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    graph::bfs_visitor_event_not_overridden
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    examine_vertex(Vertex u, Graph& g)
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    {
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      invoke_visitors(m_vis, u, g, ::boost::on_examine_vertex());
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      return graph::bfs_visitor_event_not_overridden();
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    }
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    template <class Edge, class Graph>
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    graph::bfs_visitor_event_not_overridden
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    examine_edge(Edge e, Graph& g)
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    {
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      invoke_visitors(m_vis, e, g, ::boost::on_examine_edge());
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      return graph::bfs_visitor_event_not_overridden();
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    }
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    template <class Edge, class Graph>
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    graph::bfs_visitor_event_not_overridden
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    tree_edge(Edge e, Graph& g)
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    {
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      invoke_visitors(m_vis, e, g, ::boost::on_tree_edge());
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      return graph::bfs_visitor_event_not_overridden();
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    }
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    template <class Edge, class Graph>
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    graph::bfs_visitor_event_not_overridden
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    non_tree_edge(Edge e, Graph& g)
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    {
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      invoke_visitors(m_vis, e, g, ::boost::on_non_tree_edge());
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      return graph::bfs_visitor_event_not_overridden();
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    }
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    template <class Edge, class Graph>
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    graph::bfs_visitor_event_not_overridden
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    gray_target(Edge e, Graph& g)
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    {
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      invoke_visitors(m_vis, e, g, ::boost::on_gray_target());
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      return graph::bfs_visitor_event_not_overridden();
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    }
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    template <class Edge, class Graph>
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    graph::bfs_visitor_event_not_overridden
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    black_target(Edge e, Graph& g)
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    {
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      invoke_visitors(m_vis, e, g, ::boost::on_black_target());
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      return graph::bfs_visitor_event_not_overridden();
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    }
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    template <class Vertex, class Graph>
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    graph::bfs_visitor_event_not_overridden
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    finish_vertex(Vertex u, Graph& g)
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    {
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      invoke_visitors(m_vis, u, g, ::boost::on_finish_vertex());
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      return graph::bfs_visitor_event_not_overridden();
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    }
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    BOOST_GRAPH_EVENT_STUB(on_initialize_vertex,bfs)
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    BOOST_GRAPH_EVENT_STUB(on_discover_vertex,bfs)
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    BOOST_GRAPH_EVENT_STUB(on_examine_vertex,bfs)
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    BOOST_GRAPH_EVENT_STUB(on_examine_edge,bfs)
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    BOOST_GRAPH_EVENT_STUB(on_tree_edge,bfs)
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    BOOST_GRAPH_EVENT_STUB(on_non_tree_edge,bfs)
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    BOOST_GRAPH_EVENT_STUB(on_gray_target,bfs)
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    BOOST_GRAPH_EVENT_STUB(on_black_target,bfs)
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    BOOST_GRAPH_EVENT_STUB(on_finish_vertex,bfs)
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  protected:
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    Visitors m_vis;
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  };
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  template <class Visitors>
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  bfs_visitor<Visitors>
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  make_bfs_visitor(Visitors vis) {
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    return bfs_visitor<Visitors>(vis);
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  }
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  typedef bfs_visitor<> default_bfs_visitor;
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  namespace detail {
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    template <class VertexListGraph, class ColorMap, class BFSVisitor,
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      class P, class T, class R>
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    void bfs_helper
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      (VertexListGraph& g,
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       typename graph_traits<VertexListGraph>::vertex_descriptor s,
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       ColorMap color,
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       BFSVisitor vis,
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       const bgl_named_params<P, T, R>& params,
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       boost::mpl::false_)
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    {
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      typedef graph_traits<VertexListGraph> Traits;
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      // Buffer default
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      typedef typename Traits::vertex_descriptor Vertex;
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      typedef boost::queue<Vertex> queue_t;
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      queue_t Q;
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      breadth_first_search
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        (g, s,
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         choose_param(get_param(params, buffer_param_t()), boost::ref(Q)).get(),
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         vis, color);
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    }
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#ifdef BOOST_GRAPH_USE_MPI
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    template <class DistributedGraph, class ColorMap, class BFSVisitor,
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              class P, class T, class R>
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    void bfs_helper
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      (DistributedGraph& g,
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       typename graph_traits<DistributedGraph>::vertex_descriptor s,
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       ColorMap color,
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       BFSVisitor vis,
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       const bgl_named_params<P, T, R>& params,
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       boost::mpl::true_);
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#endif // BOOST_GRAPH_USE_MPI
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    //-------------------------------------------------------------------------
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    // Choose between default color and color parameters. Using
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    // function dispatching so that we don't require vertex index if
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    // the color default is not being used.
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    template <class ColorMap>
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    struct bfs_dispatch {
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      template <class VertexListGraph, class P, class T, class R>
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      static void apply
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      (VertexListGraph& g,
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       typename graph_traits<VertexListGraph>::vertex_descriptor s,
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       const bgl_named_params<P, T, R>& params,
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       ColorMap color)
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      {
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        bfs_helper
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          (g, s, color,
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           choose_param(get_param(params, graph_visitor),
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                        make_bfs_visitor(null_visitor())),
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           params,
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           boost::mpl::bool_<
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             boost::is_base_and_derived<
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               distributed_graph_tag,
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               typename graph_traits<VertexListGraph>::traversal_category>::value>());
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      }
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    };
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    template <>
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    struct bfs_dispatch<param_not_found> {
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      template <class VertexListGraph, class P, class T, class R>
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      static void apply
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      (VertexListGraph& g,
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       typename graph_traits<VertexListGraph>::vertex_descriptor s,
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       const bgl_named_params<P, T, R>& params,
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       param_not_found)
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      {
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        null_visitor null_vis;
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        bfs_helper
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          (g, s,
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           make_two_bit_color_map
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           (num_vertices(g),
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            choose_const_pmap(get_param(params, vertex_index),
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                              g, vertex_index)),
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           choose_param(get_param(params, graph_visitor),
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                        make_bfs_visitor(null_vis)),
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           params,
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           boost::mpl::bool_<
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             boost::is_base_and_derived<
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               distributed_graph_tag,
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               typename graph_traits<VertexListGraph>::traversal_category>::value>());
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      }
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    };
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  } // namespace detail
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#if 1
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  // Named Parameter Variant
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  template <class VertexListGraph, class P, class T, class R>
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  void breadth_first_search
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    (const VertexListGraph& g,
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     typename graph_traits<VertexListGraph>::vertex_descriptor s,
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     const bgl_named_params<P, T, R>& params)
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  {
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    // The graph is passed by *const* reference so that graph adaptors
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    // (temporaries) can be passed into this function. However, the
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    // graph is not really const since we may write to property maps
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    // of the graph.
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    VertexListGraph& ng = const_cast<VertexListGraph&>(g);
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    typedef typename get_param_type< vertex_color_t, bgl_named_params<P,T,R> >::type C;
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    detail::bfs_dispatch<C>::apply(ng, s, params,
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                                   get_param(params, vertex_color));
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  }
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#endif
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  // This version does not initialize colors, user has to.
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  template <class IncidenceGraph, class P, class T, class R>
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  void breadth_first_visit
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    (const IncidenceGraph& g,
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     typename graph_traits<IncidenceGraph>::vertex_descriptor s,
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     const bgl_named_params<P, T, R>& params)
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  {
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    // The graph is passed by *const* reference so that graph adaptors
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    // (temporaries) can be passed into this function. However, the
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    // graph is not really const since we may write to property maps
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    // of the graph.
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    IncidenceGraph& ng = const_cast<IncidenceGraph&>(g);
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    typedef graph_traits<IncidenceGraph> Traits;
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    // Buffer default
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    typedef typename Traits::vertex_descriptor vertex_descriptor;
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    typedef boost::queue<vertex_descriptor> queue_t;
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    queue_t Q;
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    breadth_first_visit
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      (ng, s,
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       choose_param(get_param(params, buffer_param_t()), boost::ref(Q)).get(),
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       choose_param(get_param(params, graph_visitor),
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                    make_bfs_visitor(null_visitor())),
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       choose_pmap(get_param(params, vertex_color), ng, vertex_color)
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       );
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  }
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  namespace graph {
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    namespace detail {
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      template <typename Graph, typename Source>
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      struct breadth_first_search_impl {
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        typedef void result_type;
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        template <typename ArgPack>
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        void operator()(const Graph& g, const Source& source, const ArgPack& arg_pack) {
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          using namespace boost::graph::keywords;
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          typename boost::graph_traits<Graph>::vertex_descriptor sources[1] = {source};
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          boost::queue<typename boost::graph_traits<Graph>::vertex_descriptor> Q;
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          boost::breadth_first_search(g,
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                                      &sources[0],
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                                      &sources[1], 
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                                      boost::unwrap_ref(arg_pack[_buffer | boost::ref(Q)]),
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                                      arg_pack[_visitor | make_bfs_visitor(null_visitor())],
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                                      boost::detail::make_color_map_from_arg_pack(g, arg_pack));
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        }
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      };
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    }
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    BOOST_GRAPH_MAKE_FORWARDING_FUNCTION(breadth_first_search, 2, 4)
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  }
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#if 0
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  // Named Parameter Variant
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  BOOST_GRAPH_MAKE_OLD_STYLE_PARAMETER_FUNCTION(breadth_first_search, 2)
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#endif
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} // namespace boost
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#ifdef BOOST_GRAPH_USE_MPI
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#  include <boost/graph/distributed/breadth_first_search.hpp>
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#endif
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#endif // BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP
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