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// Copyright (C) 2012, Michele Caini. // Distributed under 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) // Two Graphs Common Spanning Trees Algorithm // Based on academic article of Mint, Read and Tarjan // Efficient Algorithm for Common Spanning Tree Problem // Electron. Lett., 28 April 1983, Volume 19, Issue 9, p.346-347 #ifndef BOOST_GRAPH_TWO_GRAPHS_COMMON_SPANNING_TREES_HPP #define BOOST_GRAPH_TWO_GRAPHS_COMMON_SPANNING_TREES_HPP #include <boost/config.hpp> #include <boost/bimap.hpp> #include <boost/type_traits.hpp> #include <boost/concept/requires.hpp> #include <boost/graph/graph_traits.hpp> #include <boost/graph/undirected_dfs.hpp> #include <boost/graph/connected_components.hpp> #include <boost/graph/filtered_graph.hpp> #include <vector> #include <stack> #include <map> namespace boost { namespace detail { template < typename TreeMap, typename PredMap, typename DistMap, typename LowMap, typename Buffer > struct bridges_visitor : public default_dfs_visitor { bridges_visitor(TreeMap tree, PredMap pred, DistMap dist, LowMap low, Buffer& buffer) : mTree(tree), mPred(pred), mDist(dist), mLow(low), mBuffer(buffer) { mNum = -1; } template < typename Vertex, typename Graph > void initialize_vertex(const Vertex& u, const Graph& g) { put(mPred, u, u); put(mDist, u, -1); } template < typename Vertex, typename Graph > void discover_vertex(const Vertex& u, const Graph& g) { put(mDist, u, ++mNum); put(mLow, u, get(mDist, u)); } template < typename Edge, typename Graph > void tree_edge(const Edge& e, const Graph& g) { put(mPred, target(e, g), source(e, g)); put(mTree, target(e, g), e); } template < typename Edge, typename Graph > void back_edge(const Edge& e, const Graph& g) { put(mLow, source(e, g), (std::min)(get(mLow, source(e, g)), get(mDist, target(e, g)))); } template < typename Vertex, typename Graph > void finish_vertex(const Vertex& u, const Graph& g) { Vertex parent = get(mPred, u); if (get(mLow, u) > get(mDist, parent)) mBuffer.push(get(mTree, u)); put(mLow, parent, (std::min)(get(mLow, parent), get(mLow, u))); } TreeMap mTree; PredMap mPred; DistMap mDist; LowMap mLow; Buffer& mBuffer; int mNum; }; template < typename Buffer > struct cycle_finder : public base_visitor< cycle_finder< Buffer > > { typedef on_back_edge event_filter; cycle_finder() : mBuffer(0) {} cycle_finder(Buffer* buffer) : mBuffer(buffer) {} template < typename Edge, typename Graph > void operator()(const Edge& e, const Graph& g) { if (mBuffer) mBuffer->push(e); } Buffer* mBuffer; }; template < typename DeletedMap > struct deleted_edge_status { deleted_edge_status() {} deleted_edge_status(DeletedMap map) : mMap(map) {} template < typename Edge > bool operator()(const Edge& e) const { return (!get(mMap, e)); } DeletedMap mMap; }; template < typename InLMap > struct inL_edge_status { inL_edge_status() {} inL_edge_status(InLMap map) : mMap(map) {} template < typename Edge > bool operator()(const Edge& e) const { return get(mMap, e); } InLMap mMap; }; template < typename Graph, typename Func, typename Seq, typename Map > void rec_two_graphs_common_spanning_trees(const Graph& iG, bimap< bimaps::set_of< int >, bimaps::set_of< typename graph_traits< Graph >::edge_descriptor > > iG_bimap, Map aiG_inL, Map diG, const Graph& vG, bimap< bimaps::set_of< int >, bimaps::set_of< typename graph_traits< Graph >::edge_descriptor > > vG_bimap, Map avG_inL, Map dvG, Func func, Seq inL) { typedef graph_traits< Graph > GraphTraits; typedef typename GraphTraits::vertex_descriptor vertex_descriptor; typedef typename GraphTraits::edge_descriptor edge_descriptor; typedef typename Seq::size_type seq_size_type; int edges = num_vertices(iG) - 1; // // [ Michele Caini ] // // Using the condition (edges != 0) leads to the accidental submission // of // sub-graphs ((V-1+1)-fake-tree, named here fat-tree). // Remove this condition is a workaround for the problem of fat-trees. // Please do not add that condition, even if it improves performance. // // Here is proposed the previous guard (that was wrong): // for(seq_size_type i = 0; (i < inL.size()) && (edges != 0); ++i) // { for (seq_size_type i = 0; i < inL.size(); ++i) if (inL[i]) --edges; if (edges < 0) return; } bool is_tree = (edges == 0); if (is_tree) { func(inL); } else { std::map< vertex_descriptor, default_color_type > vertex_color; std::map< edge_descriptor, default_color_type > edge_color; std::stack< edge_descriptor > iG_buf, vG_buf; bool found = false; seq_size_type m; for (seq_size_type j = 0; j < inL.size() && !found; ++j) { if (!inL[j] && !get(diG, iG_bimap.left.at(j)) && !get(dvG, vG_bimap.left.at(j))) { put(aiG_inL, iG_bimap.left.at(j), true); put(avG_inL, vG_bimap.left.at(j), true); undirected_dfs( make_filtered_graph(iG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >(aiG_inL)), make_dfs_visitor(detail::cycle_finder< std::stack< edge_descriptor > >(&iG_buf)), associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >( edge_color)); undirected_dfs( make_filtered_graph(vG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >(avG_inL)), make_dfs_visitor(detail::cycle_finder< std::stack< edge_descriptor > >(&vG_buf)), associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >( edge_color)); if (iG_buf.empty() && vG_buf.empty()) { inL[j] = true; found = true; m = j; } else { while (!iG_buf.empty()) iG_buf.pop(); while (!vG_buf.empty()) vG_buf.pop(); put(aiG_inL, iG_bimap.left.at(j), false); put(avG_inL, vG_bimap.left.at(j), false); } } } if (found) { std::stack< edge_descriptor > iG_buf_copy, vG_buf_copy; for (seq_size_type j = 0; j < inL.size(); ++j) { if (!inL[j] && !get(diG, iG_bimap.left.at(j)) && !get(dvG, vG_bimap.left.at(j))) { put(aiG_inL, iG_bimap.left.at(j), true); put(avG_inL, vG_bimap.left.at(j), true); undirected_dfs( make_filtered_graph(iG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >( aiG_inL)), make_dfs_visitor(detail::cycle_finder< std::stack< edge_descriptor > >(&iG_buf)), associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >(edge_color)); undirected_dfs( make_filtered_graph(vG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >( avG_inL)), make_dfs_visitor(detail::cycle_finder< std::stack< edge_descriptor > >(&vG_buf)), associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >(edge_color)); if (!iG_buf.empty() || !vG_buf.empty()) { while (!iG_buf.empty()) iG_buf.pop(); while (!vG_buf.empty()) vG_buf.pop(); put(diG, iG_bimap.left.at(j), true); put(dvG, vG_bimap.left.at(j), true); iG_buf_copy.push(iG_bimap.left.at(j)); vG_buf_copy.push(vG_bimap.left.at(j)); } put(aiG_inL, iG_bimap.left.at(j), false); put(avG_inL, vG_bimap.left.at(j), false); } } // REC detail::rec_two_graphs_common_spanning_trees< Graph, Func, Seq, Map >(iG, iG_bimap, aiG_inL, diG, vG, vG_bimap, aiG_inL, dvG, func, inL); while (!iG_buf_copy.empty()) { put(diG, iG_buf_copy.top(), false); put(dvG, vG_bimap.left.at(iG_bimap.right.at(iG_buf_copy.top())), false); iG_buf_copy.pop(); } while (!vG_buf_copy.empty()) { put(dvG, vG_buf_copy.top(), false); put(diG, iG_bimap.left.at(vG_bimap.right.at(vG_buf_copy.top())), false); vG_buf_copy.pop(); } inL[m] = false; put(aiG_inL, iG_bimap.left.at(m), false); put(avG_inL, vG_bimap.left.at(m), false); put(diG, iG_bimap.left.at(m), true); put(dvG, vG_bimap.left.at(m), true); std::map< vertex_descriptor, edge_descriptor > tree_map; std::map< vertex_descriptor, vertex_descriptor > pred_map; std::map< vertex_descriptor, int > dist_map, low_map; detail::bridges_visitor< associative_property_map< std::map< vertex_descriptor, edge_descriptor > >, associative_property_map< std::map< vertex_descriptor, vertex_descriptor > >, associative_property_map< std::map< vertex_descriptor, int > >, associative_property_map< std::map< vertex_descriptor, int > >, std::stack< edge_descriptor > > iG_vis(associative_property_map< std::map< vertex_descriptor, edge_descriptor > >( tree_map), associative_property_map< std::map< vertex_descriptor, vertex_descriptor > >( pred_map), associative_property_map< std::map< vertex_descriptor, int > >(dist_map), associative_property_map< std::map< vertex_descriptor, int > >(low_map), iG_buf), vG_vis(associative_property_map< std::map< vertex_descriptor, edge_descriptor > >( tree_map), associative_property_map< std::map< vertex_descriptor, vertex_descriptor > >( pred_map), associative_property_map< std::map< vertex_descriptor, int > >(dist_map), associative_property_map< std::map< vertex_descriptor, int > >(low_map), vG_buf); undirected_dfs( make_filtered_graph(iG, detail::deleted_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >(diG)), iG_vis, associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >( edge_color)); undirected_dfs( make_filtered_graph(vG, detail::deleted_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >(dvG)), vG_vis, associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >( edge_color)); found = false; std::stack< edge_descriptor > iG_buf_tmp, vG_buf_tmp; while (!iG_buf.empty() && !found) { if (!inL[iG_bimap.right.at(iG_buf.top())]) { put(aiG_inL, iG_buf.top(), true); put(avG_inL, vG_bimap.left.at(iG_bimap.right.at(iG_buf.top())), true); undirected_dfs( make_filtered_graph(iG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >( aiG_inL)), make_dfs_visitor(detail::cycle_finder< std::stack< edge_descriptor > >(&iG_buf_tmp)), associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >(edge_color)); undirected_dfs( make_filtered_graph(vG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >( avG_inL)), make_dfs_visitor(detail::cycle_finder< std::stack< edge_descriptor > >(&vG_buf_tmp)), associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >(edge_color)); if (!iG_buf_tmp.empty() || !vG_buf_tmp.empty()) { found = true; } else { while (!iG_buf_tmp.empty()) iG_buf_tmp.pop(); while (!vG_buf_tmp.empty()) vG_buf_tmp.pop(); iG_buf_copy.push(iG_buf.top()); } put(aiG_inL, iG_buf.top(), false); put(avG_inL, vG_bimap.left.at(iG_bimap.right.at(iG_buf.top())), false); } iG_buf.pop(); } while (!vG_buf.empty() && !found) { if (!inL[vG_bimap.right.at(vG_buf.top())]) { put(avG_inL, vG_buf.top(), true); put(aiG_inL, iG_bimap.left.at(vG_bimap.right.at(vG_buf.top())), true); undirected_dfs( make_filtered_graph(iG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >( aiG_inL)), make_dfs_visitor(detail::cycle_finder< std::stack< edge_descriptor > >(&iG_buf_tmp)), associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >(edge_color)); undirected_dfs( make_filtered_graph(vG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >( avG_inL)), make_dfs_visitor(detail::cycle_finder< std::stack< edge_descriptor > >(&vG_buf_tmp)), associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >(edge_color)); if (!iG_buf_tmp.empty() || !vG_buf_tmp.empty()) { found = true; } else { while (!iG_buf_tmp.empty()) iG_buf_tmp.pop(); while (!vG_buf_tmp.empty()) vG_buf_tmp.pop(); vG_buf_copy.push(vG_buf.top()); } put(avG_inL, vG_buf.top(), false); put(aiG_inL, iG_bimap.left.at(vG_bimap.right.at(vG_buf.top())), false); } vG_buf.pop(); } if (!found) { while (!iG_buf_copy.empty()) { inL[iG_bimap.right.at(iG_buf_copy.top())] = true; put(aiG_inL, iG_buf_copy.top(), true); put(avG_inL, vG_bimap.left.at( iG_bimap.right.at(iG_buf_copy.top())), true); iG_buf.push(iG_buf_copy.top()); iG_buf_copy.pop(); } while (!vG_buf_copy.empty()) { inL[vG_bimap.right.at(vG_buf_copy.top())] = true; put(avG_inL, vG_buf_copy.top(), true); put(aiG_inL, iG_bimap.left.at( vG_bimap.right.at(vG_buf_copy.top())), true); vG_buf.push(vG_buf_copy.top()); vG_buf_copy.pop(); } // REC detail::rec_two_graphs_common_spanning_trees< Graph, Func, Seq, Map >(iG, iG_bimap, aiG_inL, diG, vG, vG_bimap, aiG_inL, dvG, func, inL); while (!iG_buf.empty()) { inL[iG_bimap.right.at(iG_buf.top())] = false; put(aiG_inL, iG_buf.top(), false); put(avG_inL, vG_bimap.left.at(iG_bimap.right.at(iG_buf.top())), false); iG_buf.pop(); } while (!vG_buf.empty()) { inL[vG_bimap.right.at(vG_buf.top())] = false; put(avG_inL, vG_buf.top(), false); put(aiG_inL, iG_bimap.left.at(vG_bimap.right.at(vG_buf.top())), false); vG_buf.pop(); } } put(diG, iG_bimap.left.at(m), false); put(dvG, vG_bimap.left.at(m), false); } } } } // namespace detail template < typename Coll, typename Seq > struct tree_collector { public: BOOST_CONCEPT_ASSERT((BackInsertionSequence< Coll >)); BOOST_CONCEPT_ASSERT((RandomAccessContainer< Seq >)); BOOST_CONCEPT_ASSERT((CopyConstructible< Seq >)); typedef typename Coll::value_type coll_value_type; typedef typename Seq::value_type seq_value_type; BOOST_STATIC_ASSERT((is_same< coll_value_type, Seq >::value)); BOOST_STATIC_ASSERT((is_same< seq_value_type, bool >::value)); tree_collector(Coll& seqs) : mSeqs(seqs) {} inline void operator()(Seq seq) { mSeqs.push_back(seq); } private: Coll& mSeqs; }; template < typename Graph, typename Order, typename Func, typename Seq > BOOST_CONCEPT_REQUIRES( ((RandomAccessContainer< Order >))((IncidenceGraphConcept< Graph >))( (UnaryFunction< Func, void, Seq >))( (Mutable_RandomAccessContainer< Seq >))( (VertexAndEdgeListGraphConcept< Graph >)), (void)) two_graphs_common_spanning_trees(const Graph& iG, Order iG_map, const Graph& vG, Order vG_map, Func func, Seq inL) { typedef graph_traits< Graph > GraphTraits; typedef typename GraphTraits::directed_category directed_category; typedef typename GraphTraits::vertex_descriptor vertex_descriptor; typedef typename GraphTraits::edge_descriptor edge_descriptor; typedef typename GraphTraits::edges_size_type edges_size_type; typedef typename GraphTraits::edge_iterator edge_iterator; typedef typename Seq::value_type seq_value_type; typedef typename Seq::size_type seq_size_type; typedef typename Order::value_type order_value_type; typedef typename Order::size_type order_size_type; BOOST_STATIC_ASSERT((is_same< order_value_type, edge_descriptor >::value)); BOOST_CONCEPT_ASSERT((Convertible< order_size_type, edges_size_type >)); BOOST_CONCEPT_ASSERT((Convertible< seq_size_type, edges_size_type >)); BOOST_STATIC_ASSERT((is_same< seq_value_type, bool >::value)); BOOST_STATIC_ASSERT((is_same< directed_category, undirected_tag >::value)); if (num_vertices(iG) != num_vertices(vG)) return; if (inL.size() != num_edges(iG) || inL.size() != num_edges(vG)) return; if (iG_map.size() != num_edges(iG) || vG_map.size() != num_edges(vG)) return; typedef bimaps::bimap< bimaps::set_of< int >, bimaps::set_of< order_value_type > > bimap_type; typedef typename bimap_type::value_type bimap_value; bimap_type iG_bimap, vG_bimap; for (order_size_type i = 0; i < iG_map.size(); ++i) iG_bimap.insert(bimap_value(i, iG_map[i])); for (order_size_type i = 0; i < vG_map.size(); ++i) vG_bimap.insert(bimap_value(i, vG_map[i])); edge_iterator current, last; boost::tuples::tie(current, last) = edges(iG); for (; current != last; ++current) if (iG_bimap.right.find(*current) == iG_bimap.right.end()) return; boost::tuples::tie(current, last) = edges(vG); for (; current != last; ++current) if (vG_bimap.right.find(*current) == vG_bimap.right.end()) return; std::stack< edge_descriptor > iG_buf, vG_buf; std::map< vertex_descriptor, edge_descriptor > tree_map; std::map< vertex_descriptor, vertex_descriptor > pred_map; std::map< vertex_descriptor, int > dist_map, low_map; detail::bridges_visitor< associative_property_map< std::map< vertex_descriptor, edge_descriptor > >, associative_property_map< std::map< vertex_descriptor, vertex_descriptor > >, associative_property_map< std::map< vertex_descriptor, int > >, associative_property_map< std::map< vertex_descriptor, int > >, std::stack< edge_descriptor > > iG_vis(associative_property_map< std::map< vertex_descriptor, edge_descriptor > >(tree_map), associative_property_map< std::map< vertex_descriptor, vertex_descriptor > >(pred_map), associative_property_map< std::map< vertex_descriptor, int > >( dist_map), associative_property_map< std::map< vertex_descriptor, int > >(low_map), iG_buf), vG_vis(associative_property_map< std::map< vertex_descriptor, edge_descriptor > >(tree_map), associative_property_map< std::map< vertex_descriptor, vertex_descriptor > >(pred_map), associative_property_map< std::map< vertex_descriptor, int > >( dist_map), associative_property_map< std::map< vertex_descriptor, int > >( low_map), vG_buf); std::map< vertex_descriptor, default_color_type > vertex_color; std::map< edge_descriptor, default_color_type > edge_color; undirected_dfs(iG, iG_vis, associative_property_map< std::map< vertex_descriptor, default_color_type > >(vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >(edge_color)); undirected_dfs(vG, vG_vis, associative_property_map< std::map< vertex_descriptor, default_color_type > >(vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >(edge_color)); while (!iG_buf.empty()) { inL[iG_bimap.right.at(iG_buf.top())] = true; iG_buf.pop(); } while (!vG_buf.empty()) { inL[vG_bimap.right.at(vG_buf.top())] = true; vG_buf.pop(); } std::map< edge_descriptor, bool > iG_inL, vG_inL; associative_property_map< std::map< edge_descriptor, bool > > aiG_inL( iG_inL), avG_inL(vG_inL); for (seq_size_type i = 0; i < inL.size(); ++i) { if (inL[i]) { put(aiG_inL, iG_bimap.left.at(i), true); put(avG_inL, vG_bimap.left.at(i), true); } else { put(aiG_inL, iG_bimap.left.at(i), false); put(avG_inL, vG_bimap.left.at(i), false); } } undirected_dfs( make_filtered_graph(iG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >( aiG_inL)), make_dfs_visitor( detail::cycle_finder< std::stack< edge_descriptor > >(&iG_buf)), associative_property_map< std::map< vertex_descriptor, default_color_type > >(vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >(edge_color)); undirected_dfs( make_filtered_graph(vG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >( avG_inL)), make_dfs_visitor( detail::cycle_finder< std::stack< edge_descriptor > >(&vG_buf)), associative_property_map< std::map< vertex_descriptor, default_color_type > >(vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >(edge_color)); if (iG_buf.empty() && vG_buf.empty()) { std::map< edge_descriptor, bool > iG_deleted, vG_deleted; associative_property_map< std::map< edge_descriptor, bool > > diG( iG_deleted); associative_property_map< std::map< edge_descriptor, bool > > dvG( vG_deleted); boost::tuples::tie(current, last) = edges(iG); for (; current != last; ++current) put(diG, *current, false); boost::tuples::tie(current, last) = edges(vG); for (; current != last; ++current) put(dvG, *current, false); for (seq_size_type j = 0; j < inL.size(); ++j) { if (!inL[j]) { put(aiG_inL, iG_bimap.left.at(j), true); put(avG_inL, vG_bimap.left.at(j), true); undirected_dfs( make_filtered_graph(iG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >(aiG_inL)), make_dfs_visitor( detail::cycle_finder< std::stack< edge_descriptor > >( &iG_buf)), associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >( edge_color)); undirected_dfs( make_filtered_graph(vG, detail::inL_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >(avG_inL)), make_dfs_visitor( detail::cycle_finder< std::stack< edge_descriptor > >( &vG_buf)), associative_property_map< std::map< vertex_descriptor, default_color_type > >( vertex_color), associative_property_map< std::map< edge_descriptor, default_color_type > >( edge_color)); if (!iG_buf.empty() || !vG_buf.empty()) { while (!iG_buf.empty()) iG_buf.pop(); while (!vG_buf.empty()) vG_buf.pop(); put(diG, iG_bimap.left.at(j), true); put(dvG, vG_bimap.left.at(j), true); } put(aiG_inL, iG_bimap.left.at(j), false); put(avG_inL, vG_bimap.left.at(j), false); } } int cc = 0; std::map< vertex_descriptor, int > com_map; cc += connected_components( make_filtered_graph(iG, detail::deleted_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >(diG)), associative_property_map< std::map< vertex_descriptor, int > >( com_map)); cc += connected_components( make_filtered_graph(vG, detail::deleted_edge_status< associative_property_map< std::map< edge_descriptor, bool > > >(dvG)), associative_property_map< std::map< vertex_descriptor, int > >( com_map)); if (cc != 2) return; // REC detail::rec_two_graphs_common_spanning_trees< Graph, Func, Seq, associative_property_map< std::map< edge_descriptor, bool > > >( iG, iG_bimap, aiG_inL, diG, vG, vG_bimap, aiG_inL, dvG, func, inL); } } template < typename Graph, typename Func, typename Seq > BOOST_CONCEPT_REQUIRES( ((IncidenceGraphConcept< Graph >))((EdgeListGraphConcept< Graph >)), (void)) two_graphs_common_spanning_trees( const Graph& iG, const Graph& vG, Func func, Seq inL) { typedef graph_traits< Graph > GraphTraits; typedef typename GraphTraits::edge_descriptor edge_descriptor; typedef typename GraphTraits::edge_iterator edge_iterator; std::vector< edge_descriptor > iGO, vGO; edge_iterator curr, last; boost::tuples::tie(curr, last) = edges(iG); for (; curr != last; ++curr) iGO.push_back(*curr); boost::tuples::tie(curr, last) = edges(vG); for (; curr != last; ++curr) vGO.push_back(*curr); two_graphs_common_spanning_trees(iG, iGO, vG, vGO, func, inL); } } // namespace boost #endif // BOOST_GRAPH_TWO_GRAPHS_COMMON_SPANNING_TREES_HPP