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distributed/
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property_maps/
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accounting.hpp
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adjacency_iterator.hpp
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adjacency_list.hpp
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adjacency_list_io.hpp
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adjacency_matrix.hpp
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clustering_coefficient.hpp
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connected_components.hpp
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core_numbers.hpp
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cycle_canceling.hpp
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dag_shortest_paths.hpp
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degree_centrality.hpp
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depth_first_search.hpp
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dijkstra_shortest_paths.hpp
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dijkstra_shortest_paths_no_color_map.hpp
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dimacs.hpp
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directed_graph.hpp
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dll_import_export.hpp
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dominator_tree.hpp
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eccentricity.hpp
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edge_coloring.hpp
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edge_connectivity.hpp
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edge_list.hpp
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erdos_renyi_generator.hpp
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exception.hpp
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exterior_property.hpp
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filtered_graph.hpp
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geodesic_distance.hpp
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graphml.hpp
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graphviz.hpp
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graph_archetypes.hpp
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graph_as_tree.hpp
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graph_concepts.hpp
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graph_mutability_traits.hpp
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graph_selectors.hpp
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graph_stats.hpp
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graph_traits.hpp
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graph_utility.hpp
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grid_graph.hpp
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hawick_circuits.hpp
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howard_cycle_ratio.hpp
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incremental_components.hpp
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isomorphism.hpp
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is_kuratowski_subgraph.hpp
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is_straight_line_drawing.hpp
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iteration_macros.hpp
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johnson_all_pairs_shortest.hpp
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kamada_kawai_spring_layout.hpp
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king_ordering.hpp
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kruskal_min_spanning_tree.hpp
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labeled_graph.hpp
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leda_graph.hpp
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lookup_edge.hpp
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loop_erased_random_walk.hpp
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make_biconnected_planar.hpp
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make_connected.hpp
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make_maximal_planar.hpp
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matrix_as_graph.hpp
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maximum_adjacency_search.hpp
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maximum_weighted_matching.hpp
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max_cardinality_matching.hpp
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mcgregor_common_subgraphs.hpp
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mesh_graph_generator.hpp
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metis.hpp
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metric_tsp_approx.hpp
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minimum_degree_ordering.hpp
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named_function_params.hpp
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neighbor_bfs.hpp
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numeric_values.hpp
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one_bit_color_map.hpp
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overloading.hpp
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page_rank.hpp
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planar_canonical_ordering.hpp
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planar_face_traversal.hpp
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plod_generator.hpp
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point_traits.hpp
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prim_minimum_spanning_tree.hpp
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profile.hpp
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properties.hpp
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property_iter_range.hpp
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push_relabel_max_flow.hpp
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random.hpp
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random_layout.hpp
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random_spanning_tree.hpp
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read_dimacs.hpp
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relax.hpp
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reverse_graph.hpp
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rmat_graph_generator.hpp
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r_c_shortest_paths.hpp
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sequential_vertex_coloring.hpp
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simple_point.hpp
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sloan_ordering.hpp
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smallest_last_ordering.hpp
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small_world_generator.hpp
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ssca_graph_generator.hpp
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stanford_graph.hpp
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stoer_wagner_min_cut.hpp
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strong_components.hpp
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st_connected.hpp
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subgraph.hpp
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successive_shortest_path_nonnegative_weights.hpp
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tiernan_all_cycles.hpp
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topological_sort.hpp
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topology.hpp
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tree_traits.hpp
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two_bit_color_map.hpp
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undirected_dfs.hpp
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undirected_graph.hpp
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vector_as_graph.hpp
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vertex_and_edge_range.hpp
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visitors.hpp
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wavefront.hpp
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/usr/include/boost/graph/edge_coloring.hpp
(6809B)
//======================================================================= // Copyright 2013 Maciej Piechotka // Authors: Maciej Piechotka // // 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) //======================================================================= #ifndef BOOST_GRAPH_EDGE_COLORING_HPP #define BOOST_GRAPH_EDGE_COLORING_HPP #include <boost/graph/graph_traits.hpp> #include <boost/graph/iteration_macros.hpp> #include <boost/graph/properties.hpp> #include <algorithm> #include <limits> #include <vector> /* This algorithm is to find coloring of an edges Reference: Misra, J., & Gries, D. (1992). A constructive proof of Vizing's theorem. In Information Processing Letters. */ namespace boost { namespace detail { template < typename Graph, typename ColorMap > bool is_free(const Graph& g, ColorMap color, typename boost::graph_traits< Graph >::vertex_descriptor u, typename boost::property_traits< ColorMap >::value_type free_color) { typedef typename boost::property_traits< ColorMap >::value_type color_t; if (free_color == (std::numeric_limits< color_t >::max)()) return false; BGL_FORALL_OUTEDGES_T(u, e, g, Graph) { if (get(color, e) == free_color) { return false; } } return true; } template < typename Graph, typename ColorMap > std::vector< typename boost::graph_traits< Graph >::vertex_descriptor > maximal_fan(const Graph& g, ColorMap color, typename boost::graph_traits< Graph >::vertex_descriptor x, typename boost::graph_traits< Graph >::vertex_descriptor y) { typedef typename boost::graph_traits< Graph >::vertex_descriptor vertex_t; std::vector< vertex_t > fan; fan.push_back(y); bool extended; do { extended = false; BGL_FORALL_OUTEDGES_T(x, e, g, Graph) { vertex_t v = target(e, g); if (is_free(g, color, fan.back(), get(color, e)) && std::find(fan.begin(), fan.end(), v) == fan.end()) { fan.push_back(v); extended = true; } } } while (extended); return fan; } template < typename Graph, typename ColorMap > typename boost::property_traits< ColorMap >::value_type find_free_color( const Graph& g, ColorMap color, typename boost::graph_traits< Graph >::vertex_descriptor u) { typename boost::property_traits< ColorMap >::value_type c = 0; while (!is_free(g, color, u, c)) c++; return c; } template < typename Graph, typename ColorMap > void invert_cd_path(const Graph& g, ColorMap color, typename boost::graph_traits< Graph >::vertex_descriptor x, typename boost::graph_traits< Graph >::edge_descriptor eold, typename boost::property_traits< ColorMap >::value_type c, typename boost::property_traits< ColorMap >::value_type d) { put(color, eold, d); BGL_FORALL_OUTEDGES_T(x, e, g, Graph) { if (get(color, e) == d && e != eold) { invert_cd_path(g, color, target(e, g), e, d, c); return; } } } template < typename Graph, typename ColorMap > void invert_cd_path(const Graph& g, ColorMap color, typename boost::graph_traits< Graph >::vertex_descriptor x, typename boost::property_traits< ColorMap >::value_type c, typename boost::property_traits< ColorMap >::value_type d) { BGL_FORALL_OUTEDGES_T(x, e, g, Graph) { if (get(color, e) == d) { invert_cd_path(g, color, target(e, g), e, d, c); return; } } } template < typename Graph, typename ColorMap, typename ForwardIterator > void rotate_fan(const Graph& g, ColorMap color, typename boost::graph_traits< Graph >::vertex_descriptor x, ForwardIterator begin, ForwardIterator end) { typedef typename boost::graph_traits< Graph >::edge_descriptor edge_t; if (begin == end) { return; } edge_t previous = edge(x, *begin, g).first; for (begin++; begin != end; begin++) { edge_t current = edge(x, *begin, g).first; put(color, previous, get(color, current)); previous = current; } } template < typename Graph, typename ColorMap > class find_free_in_fan { public: find_free_in_fan(const Graph& graph, const ColorMap color, typename boost::property_traits< ColorMap >::value_type d) : graph(graph), color(color), d(d) { } bool operator()( const typename boost::graph_traits< Graph >::vertex_descriptor u) const { return is_free(graph, color, u, d); } private: const Graph& graph; const ColorMap color; const typename boost::property_traits< ColorMap >::value_type d; }; } template < typename Graph, typename ColorMap > typename boost::property_traits< ColorMap >::value_type color_edge( const Graph& g, ColorMap color, typename boost::graph_traits< Graph >::edge_descriptor e) { typedef typename boost::graph_traits< Graph >::vertex_descriptor vertex_t; typedef typename boost::property_traits< ColorMap >::value_type color_t; typedef typename std::vector< vertex_t >::iterator fan_iterator; using namespace detail; vertex_t x = source(e, g), y = target(e, g); std::vector< vertex_t > fan = maximal_fan(g, color, x, y); color_t c = find_free_color(g, color, x); color_t d = find_free_color(g, color, fan.back()); invert_cd_path(g, color, x, c, d); fan_iterator w = std::find_if(fan.begin(), fan.end(), find_free_in_fan< Graph, ColorMap >(g, color, d)); rotate_fan(g, color, x, fan.begin(), w + 1); put(color, edge(x, *w, g).first, d); return (std::max)(c, d); } template < typename Graph, typename ColorMap > typename boost::property_traits< ColorMap >::value_type edge_coloring( const Graph& g, ColorMap color) { typedef typename boost::property_traits< ColorMap >::value_type color_t; BGL_FORALL_EDGES_T(e, g, Graph) { put(color, e, (std::numeric_limits< color_t >::max)()); } color_t colors = 0; BGL_FORALL_EDGES_T(e, g, Graph) { colors = (std::max)(colors, color_edge(g, color, e) + 1); } return colors; } } #endif
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