// 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 #include #include #include #include #include namespace boost { typedef boost::adjacency_list< boost::vecS, // OutEdgeList boost::vecS, // VertexList boost::undirectedS, // Directed boost::no_property, // VertexProperties boost::no_property, // EdgeProperties boost::no_property, // GraphProperties boost::listS // EdgeList > Graph; typedef boost::graph_traits< Graph >::edge_descriptor edge_descriptor; template < typename Coll, typename Seq > struct check_edge { public: BOOST_CONCEPT_ASSERT((RandomAccessContainer< Coll >)); BOOST_CONCEPT_ASSERT((RandomAccessContainer< 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)); void operator()(Coll& coll, Seq& seq) { bool found = false; for (auto iterator = coll.begin(); !found && iterator != coll.end(); ++iterator) { Seq& coll_seq = *iterator; BOOST_TEST(coll_seq.size() == seq.size()); found = true; for (typename Seq::size_type pos = 0; found && pos < seq.size(); ++pos) { found &= coll_seq[pos] == seq[pos]; } } BOOST_TEST(found); } }; void two_graphs_common_spanning_trees_test() { Graph iG, vG; std::vector< edge_descriptor > iG_o { boost::add_edge(0, 1, iG).first, boost::add_edge(1, 3, iG).first, boost::add_edge(3, 2, iG).first, boost::add_edge(1, 5, iG).first, boost::add_edge(5, 4, iG).first, boost::add_edge(5, 6, iG).first, boost::add_edge(5, 3, iG).first, boost::add_edge(3, 1, iG).first, boost::add_edge(1, 3, iG).first }; std::vector< edge_descriptor > vG_o { boost::add_edge(0, 2, vG).first, boost::add_edge(0, 4, vG).first, boost::add_edge(0, 5, vG).first, boost::add_edge(5, 1, vG).first, boost::add_edge(5, 3, vG).first, boost::add_edge(5, 6, vG).first, boost::add_edge(5, 4, vG).first, boost::add_edge(5, 2, vG).first, boost::add_edge(2, 6, vG).first }; std::vector< std::vector< bool > > coll; boost::tree_collector< std::vector< std::vector< bool > >, std::vector< bool > > collector(coll); std::vector< bool > inL(iG_o.size(), false); boost::two_graphs_common_spanning_trees(iG, iG_o, vG, vG_o, collector, inL); check_edge< std::vector< std::vector< bool > >, std::vector< bool > > checker; std::vector< bool > check; check.assign({ true, true, true, true, true, true, false, false, false }); checker(coll, check); check.assign({ true, true, true, true, true, true, false, false, false }); checker(coll, check); } } int main(int argc, char** argv) { boost::two_graphs_common_spanning_trees_test(); return boost::report_errors(); }