1 | /* -*- mode: C++; indent-tabs-mode: nil; -*- |
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2 | * |
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3 | * This file is a part of LEMON, a generic C++ optimization library. |
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4 | * |
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5 | * Copyright (C) 2015 |
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6 | * EMAXA Kutato-fejleszto Kft. (EMAXA Research Ltd.) |
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7 | * |
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8 | * Permission to use, modify and distribute this software is granted |
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9 | * provided that this copyright notice appears in all copies. For |
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10 | * precise terms see the accompanying LICENSE file. |
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11 | * |
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12 | * This software is provided "AS IS" with no warranty of any kind, |
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13 | * express or implied, and with no claim as to its suitability for any |
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14 | * purpose. |
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15 | * |
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16 | */ |
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17 | |
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18 | #ifndef LEMON_VF2_H |
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19 | #define LEMON_VF2_H |
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20 | |
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21 | ///\ingroup graph_properties |
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22 | ///\file |
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23 | ///\brief VF2 algorithm \cite cordella2004sub. |
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24 | |
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25 | #include <lemon/core.h> |
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26 | #include <lemon/concepts/graph.h> |
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27 | #include <lemon/dfs.h> |
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28 | #include <lemon/bfs.h> |
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29 | #include <test/test_tools.h> |
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30 | |
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31 | #include <vector> |
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32 | #include <set> |
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33 | |
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34 | namespace lemon |
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35 | { |
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36 | namespace bits |
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37 | { |
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38 | namespace vf2 |
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39 | { |
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40 | class AlwaysEq |
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41 | { |
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42 | public: |
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43 | template<class T1, class T2> |
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44 | bool operator()(T1, T2) const |
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45 | { |
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46 | return true; |
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47 | } |
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48 | }; |
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49 | |
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50 | template<class M1, class M2> |
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51 | class MapEq |
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52 | { |
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53 | const M1 &_m1; |
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54 | const M2 &_m2; |
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55 | public: |
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56 | MapEq(const M1 &m1, const M2 &m2) : _m1(m1), _m2(m2) {} |
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57 | bool operator()(typename M1::Key k1, typename M2::Key k2) const |
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58 | { |
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59 | return _m1[k1] == _m2[k2]; |
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60 | } |
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61 | }; |
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62 | |
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63 | template <class G> |
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64 | class DfsLeaveOrder : public DfsVisitor<G> |
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65 | { |
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66 | const G &_g; |
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67 | std::vector<typename G::Node> &_order; |
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68 | int i; |
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69 | public: |
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70 | DfsLeaveOrder(const G &g, std::vector<typename G::Node> &order) |
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71 | : i(countNodes(g)), _g(g), _order(order) |
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72 | {} |
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73 | void leave(const typename G::Node &node) |
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74 | { |
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75 | _order[--i]=node; |
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76 | } |
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77 | }; |
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78 | |
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79 | template <class G> |
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80 | class BfsLeaveOrder : public BfsVisitor<G> |
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81 | { |
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82 | int i; |
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83 | const G &_g; |
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84 | std::vector<typename G::Node> &_order; |
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85 | public: |
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86 | BfsLeaveOrder(const G &g, std::vector<typename G::Node> &order) |
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87 | : i(0), _g(g), _order(order) |
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88 | {} |
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89 | void process(const typename G::Node &node) |
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90 | { |
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91 | _order[i++]=node; |
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92 | } |
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93 | }; |
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94 | } |
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95 | } |
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96 | |
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97 | ///Graph mapping types. |
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98 | |
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99 | ///\ingroup graph_isomorphism |
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100 | ///The \ref Vf2 "VF2" algorithm is capable of finding different kind of |
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101 | ///embeddings, this enum specifies its type. |
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102 | /// |
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103 | ///See \ref graph_isomorphism for a more detailed description. |
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104 | enum Vf2MappingType { |
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105 | /// Subgraph isomorphism |
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106 | SUBGRAPH = 0, |
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107 | /// Induced subgraph isomorphism |
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108 | INDUCED = 1, |
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109 | /// Graph isomorphism |
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110 | |
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111 | /// If the two graph has the same number of nodes, than it is |
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112 | /// equivalent to \ref INDUCED, and if they also have the same |
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113 | /// number of edges, then it is also equivalent to \ref SUBGRAPH. |
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114 | /// |
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115 | /// However, using this setting is faster than the other two |
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116 | /// options. |
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117 | ISOMORPH = 2 |
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118 | }; |
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119 | |
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120 | ///%VF2 algorithm class. |
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121 | |
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122 | ///\ingroup graph_isomorphism This class provides an efficient |
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123 | ///implementation of the %VF2 algorithm \cite cordella2004sub |
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124 | ///for variants of the (Sub)graph Isomorphism problem. |
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125 | /// |
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126 | ///There is also a \ref vf2() "function-type interface" called \ref vf2() |
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127 | ///for the %VF2 algorithm, which is probably more convenient in most |
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128 | ///use-cases. |
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129 | /// |
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130 | ///\tparam G1 The type of the graph to be embedded. |
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131 | ///The default type is \ref ListDigraph. |
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132 | ///\tparam G2 The type of the graph g1 will be embedded into. |
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133 | ///The default type is \ref ListDigraph. |
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134 | ///\tparam M The type of the NodeMap storing the mapping. |
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135 | ///By default, it is G1::NodeMap<G2::Node> |
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136 | ///\tparam NEQ A bool-valued binary functor determinining whether a node is |
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137 | ///mappable to another. By default it is an always true operator. |
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138 | /// |
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139 | ///\sa vf2() |
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140 | #ifdef DOXYGEN |
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141 | template<class G1, class G2, class M, class NEQ > |
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142 | #else |
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143 | template<class G1=ListDigraph, |
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144 | class G2=ListDigraph, |
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145 | class M = typename G1::template NodeMap<G2::Node>, |
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146 | class NEQ = bits::vf2::AlwaysEq > |
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147 | #endif |
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148 | class Vf2 |
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149 | { |
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150 | //Current depth in the DFS tree. |
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151 | int _depth; |
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152 | //Functor with bool operator()(G1::Node,G2::Node), which returns 1 |
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153 | //if and only if the 2 nodes are equivalent. |
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154 | NEQ _nEq; |
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155 | |
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156 | typename G2::template NodeMap<int> _conn; |
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157 | //Current mapping. We index it by the nodes of g1, and match[v] is |
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158 | //a node of g2. |
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159 | M &_mapping; |
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160 | //order[i] is the node of g1, for which we find a pair if depth=i |
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161 | std::vector<typename G1::Node> order; |
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162 | //currEdgeIts[i] is an edge iterator, witch is last used in the ith |
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163 | //depth to find a pair for order[i]. |
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164 | std::vector<typename G2::IncEdgeIt> currEdgeIts; |
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165 | //The small graph. |
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166 | const G1 &_g1; |
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167 | //The big graph. |
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168 | const G2 &_g2; |
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169 | //lookup tables for cut the searchtree |
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170 | typename G1::template NodeMap<int> rNew1t,rInOut1t; |
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171 | |
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172 | Vf2MappingType _mapping_type; |
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173 | |
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174 | //cut the search tree |
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175 | template<Vf2MappingType MT> |
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176 | bool cut(const typename G1::Node n1,const typename G2::Node n2) const |
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177 | { |
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178 | int rNew2=0,rInOut2=0; |
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179 | for(typename G2::IncEdgeIt e2(_g2,n2); e2!=INVALID; ++e2) |
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180 | { |
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181 | const typename G2::Node currNode=_g2.oppositeNode(n2,e2); |
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182 | if(_conn[currNode]>0) |
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183 | ++rInOut2; |
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184 | else if(MT!=SUBGRAPH&&_conn[currNode]==0) |
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185 | ++rNew2; |
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186 | } |
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187 | switch(MT) |
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188 | { |
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189 | case INDUCED: |
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190 | return rInOut1t[n1]<=rInOut2&&rNew1t[n1]<=rNew2; |
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191 | case SUBGRAPH: |
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192 | return rInOut1t[n1]<=rInOut2; |
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193 | case ISOMORPH: |
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194 | return rInOut1t[n1]==rInOut2&&rNew1t[n1]==rNew2; |
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195 | default: |
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196 | return false; |
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197 | } |
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198 | } |
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199 | |
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200 | template<Vf2MappingType MT> |
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201 | bool feas(const typename G1::Node n1,const typename G2::Node n2) |
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202 | { |
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203 | if(!_nEq(n1,n2)) |
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204 | return 0; |
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205 | |
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206 | for(typename G1::IncEdgeIt e1(_g1,n1); e1!=INVALID; ++e1) |
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207 | { |
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208 | const typename G1::Node currNode=_g1.oppositeNode(n1,e1); |
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209 | if(_mapping[currNode]!=INVALID) |
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210 | --_conn[_mapping[currNode]]; |
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211 | } |
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212 | bool isIso=1; |
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213 | for(typename G2::IncEdgeIt e2(_g2,n2); e2!=INVALID; ++e2) |
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214 | { |
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215 | const typename G2::Node currNode=_g2.oppositeNode(n2,e2); |
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216 | if(_conn[currNode]<-1) |
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217 | ++_conn[currNode]; |
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218 | else if(MT!=SUBGRAPH&&_conn[currNode]==-1) |
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219 | { |
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220 | isIso=0; |
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221 | break; |
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222 | } |
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223 | } |
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224 | |
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225 | for(typename G1::IncEdgeIt e1(_g1,n1); e1!=INVALID; ++e1) |
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226 | { |
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227 | const typename G1::Node currNode=_g1.oppositeNode(n1,e1); |
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228 | if(_mapping[currNode]!=INVALID&&_conn[_mapping[currNode]]!=-1) |
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229 | { |
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230 | switch(MT) |
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231 | { |
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232 | case INDUCED: |
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233 | case ISOMORPH: |
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234 | isIso=0; |
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235 | break; |
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236 | case SUBGRAPH: |
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237 | if(_conn[_mapping[currNode]]<-1) |
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238 | isIso=0; |
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239 | break; |
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240 | } |
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241 | _conn[_mapping[currNode]]=-1; |
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242 | } |
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243 | } |
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244 | return isIso&&cut<MT>(n1,n2); |
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245 | } |
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246 | |
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247 | void addPair(const typename G1::Node n1,const typename G2::Node n2) |
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248 | { |
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249 | _conn[n2]=-1; |
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250 | _mapping.set(n1,n2); |
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251 | for(typename G2::IncEdgeIt e2(_g2,n2); e2!=INVALID; ++e2) |
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252 | if(_conn[_g2.oppositeNode(n2,e2)]!=-1) |
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253 | ++_conn[_g2.oppositeNode(n2,e2)]; |
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254 | } |
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255 | |
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256 | void subPair(const typename G1::Node n1,const typename G2::Node n2) |
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257 | { |
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258 | _conn[n2]=0; |
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259 | _mapping.set(n1,INVALID); |
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260 | for(typename G2::IncEdgeIt e2(_g2,n2); e2!=INVALID; ++e2) |
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261 | { |
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262 | const typename G2::Node currNode=_g2.oppositeNode(n2,e2); |
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263 | if(_conn[currNode]>0) |
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264 | --_conn[currNode]; |
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265 | else if(_conn[currNode]==-1) |
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266 | ++_conn[n2]; |
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267 | } |
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268 | } |
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269 | |
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270 | void setOrder()//we will find pairs for the nodes of g1 in this order |
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271 | { |
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272 | // bits::vf2::DfsLeaveOrder<G1> v(_g1,order); |
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273 | // DfsVisit<G1,bits::vf2::DfsLeaveOrder<G1> >dfs(_g1, v); |
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274 | // dfs.run(); |
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275 | |
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276 | //it is more efficient in practice than DFS |
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277 | bits::vf2::BfsLeaveOrder<G1> v(_g1,order); |
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278 | BfsVisit<G1,bits::vf2::BfsLeaveOrder<G1> >bfs(_g1, v); |
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279 | bfs.run(); |
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280 | } |
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281 | |
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282 | template<Vf2MappingType MT> |
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283 | bool extMatch() |
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284 | { |
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285 | while(_depth>=0) |
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286 | { |
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287 | //there are not nodes in g1, which has not pair in g2. |
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288 | if(_depth==static_cast<int>(order.size())) |
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289 | { |
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290 | --_depth; |
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291 | return true; |
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292 | } |
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293 | //the node of g2, which neighbours are the candidates for |
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294 | //the pair of order[_depth] |
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295 | typename G2::Node currPNode; |
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296 | if(currEdgeIts[_depth]==INVALID) |
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297 | { |
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298 | typename G1::IncEdgeIt fstMatchedE(_g1,order[_depth]); |
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299 | //if _mapping[order[_depth]]!=INVALID, we dont use |
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300 | //fstMatchedE |
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301 | if(_mapping[order[_depth]]==INVALID) |
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302 | for(; fstMatchedE!=INVALID && |
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303 | _mapping[_g1.oppositeNode(order[_depth], |
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304 | fstMatchedE)]==INVALID; |
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305 | ++fstMatchedE) ; //find fstMatchedE |
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306 | if(fstMatchedE==INVALID||_mapping[order[_depth]]!=INVALID) |
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307 | { |
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308 | //We did not find an covered neighbour, this means |
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309 | //the graph is not connected(or _depth==0). Every |
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310 | //uncovered(and there are some other properties due |
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311 | //to the spec. problem types) node of g2 is |
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312 | //candidate. We can read the iterator of the last |
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313 | //tryed node from the match if it is not the first |
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314 | //try(match[order[_depth]]!=INVALID) |
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315 | typename G2::NodeIt n2(_g2); |
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316 | //if its not the first try |
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317 | if(_mapping[order[_depth]]!=INVALID) |
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318 | { |
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319 | n2=++typename G2::NodeIt(_g2,_mapping[order[_depth]]); |
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320 | subPair(order[_depth],_mapping[order[_depth]]); |
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321 | } |
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322 | for(; n2!=INVALID; ++n2) |
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323 | if(MT!=SUBGRAPH&&_conn[n2]==0) |
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324 | { |
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325 | if(feas<MT>(order[_depth],n2)) |
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326 | break; |
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327 | } |
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328 | else if(MT==SUBGRAPH&&_conn[n2]>=0) |
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329 | if(feas<MT>(order[_depth],n2)) |
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330 | break; |
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331 | // n2 is the next candidate |
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332 | if(n2!=INVALID) |
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333 | { |
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334 | addPair(order[_depth],n2); |
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335 | ++_depth; |
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336 | } |
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337 | else // there is no more candidate |
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338 | --_depth; |
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339 | continue; |
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340 | } |
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341 | else |
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342 | { |
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343 | currPNode=_mapping[_g1.oppositeNode(order[_depth], |
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344 | fstMatchedE)]; |
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345 | currEdgeIts[_depth]=typename G2::IncEdgeIt(_g2,currPNode); |
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346 | } |
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347 | } |
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348 | else |
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349 | { |
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350 | currPNode=_g2.oppositeNode(_mapping[order[_depth]], |
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351 | currEdgeIts[_depth]); |
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352 | subPair(order[_depth],_mapping[order[_depth]]); |
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353 | ++currEdgeIts[_depth]; |
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354 | } |
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355 | for(; currEdgeIts[_depth]!=INVALID; ++currEdgeIts[_depth]) |
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356 | { |
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357 | const typename G2::Node currNode = |
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358 | _g2.oppositeNode(currPNode, currEdgeIts[_depth]); |
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359 | //if currNode is uncovered |
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360 | if(_conn[currNode]>0&&feas<MT>(order[_depth],currNode)) |
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361 | { |
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362 | addPair(order[_depth],currNode); |
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363 | break; |
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364 | } |
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365 | } |
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366 | currEdgeIts[_depth]==INVALID?--_depth:++_depth; |
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367 | } |
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368 | return false; |
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369 | } |
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370 | |
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371 | //calc. the lookup table for cut the searchtree |
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372 | void setRNew1tRInOut1t() |
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373 | { |
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374 | typename G1::template NodeMap<int> tmp(_g1,0); |
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375 | for(unsigned int i=0; i<order.size(); ++i) |
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376 | { |
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377 | tmp[order[i]]=-1; |
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378 | for(typename G1::IncEdgeIt e1(_g1,order[i]); e1!=INVALID; ++e1) |
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379 | { |
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380 | const typename G1::Node currNode=_g1.oppositeNode(order[i],e1); |
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381 | if(tmp[currNode]>0) |
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382 | ++rInOut1t[order[i]]; |
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383 | else if(tmp[currNode]==0) |
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384 | ++rNew1t[order[i]]; |
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385 | } |
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386 | for(typename G1::IncEdgeIt e1(_g1,order[i]); e1!=INVALID; ++e1) |
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387 | { |
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388 | const typename G1::Node currNode=_g1.oppositeNode(order[i],e1); |
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389 | if(tmp[currNode]!=-1) |
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390 | ++tmp[currNode]; |
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391 | } |
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392 | } |
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393 | } |
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394 | public: |
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395 | ///Constructor |
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396 | |
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397 | ///Constructor |
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398 | |
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399 | ///\param g1 The graph to be embedded into \e g2. |
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400 | ///\param g2 The graph \e g1 will be embedded into. |
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401 | ///\param m \ref concepts::ReadWriteMap "read-write" NodeMap |
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402 | ///storing the found mapping. |
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403 | ///\param neq A bool-valued binary functor determinining whether a node is |
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404 | ///mappable to another. By default it is an always true operator. |
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405 | Vf2(const G1 &g1, const G2 &g2,M &m, const NEQ &neq = NEQ() ) : |
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406 | _nEq(neq), _conn(g2,0), _mapping(m), order(countNodes(g1)), |
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407 | currEdgeIts(countNodes(g1),INVALID), _g1(g1), _g2(g2), rNew1t(g1,0), |
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408 | rInOut1t(g1,0), _mapping_type(SUBGRAPH) |
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409 | { |
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410 | _depth=0; |
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411 | setOrder(); |
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412 | setRNew1tRInOut1t(); |
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413 | } |
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414 | |
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415 | ///Returns the current mapping type |
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416 | |
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417 | ///Returns the current mapping type |
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418 | /// |
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419 | Vf2MappingType mappingType() const { return _mapping_type; } |
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420 | ///Sets mapping type |
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421 | |
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422 | ///Sets mapping type. |
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423 | /// |
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424 | ///The mapping type is set to \ref SUBGRAPH by default. |
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425 | /// |
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426 | ///\sa See \ref for the possible values. |
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427 | void mappingType(Vf2MappingType m_type) { _mapping_type = m_type; } |
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428 | |
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429 | ///Find a mapping |
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430 | |
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431 | ///It finds a mapping between from g1 into g2 according to the mapping |
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432 | ///type set by \ref mappingType(Vf2MappingType) "mappingType()". |
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433 | /// |
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434 | ///By subsequent calls, it returns all possible mappings one-by-one. |
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435 | /// |
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436 | ///\retval true if a mapping is found. |
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437 | ///\retval false if there is no (more) mapping. |
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438 | bool find() |
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439 | { |
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440 | switch(_mapping_type) |
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441 | { |
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442 | case SUBGRAPH: |
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443 | return extMatch<SUBGRAPH>(); |
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444 | case INDUCED: |
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445 | return extMatch<INDUCED>(); |
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446 | case ISOMORPH: |
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447 | return extMatch<ISOMORPH>(); |
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448 | default: |
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449 | return false; |
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450 | } |
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451 | } |
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452 | }; |
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453 | |
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454 | template<class G1, class G2> |
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455 | class Vf2WizardBase |
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456 | { |
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457 | protected: |
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458 | typedef G1 Graph1; |
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459 | typedef G2 Graph2; |
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460 | |
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461 | const G1 &_g1; |
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462 | const G2 &_g2; |
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463 | |
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464 | Vf2MappingType _mapping_type; |
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465 | |
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466 | typedef typename G1::template NodeMap<typename G2::Node> Mapping; |
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467 | bool _local_mapping; |
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468 | void *_mapping; |
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469 | void createMapping() |
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470 | { |
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471 | _mapping = new Mapping(_g1); |
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472 | } |
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473 | |
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474 | typedef bits::vf2::AlwaysEq NodeEq; |
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475 | NodeEq _node_eq; |
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476 | |
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477 | Vf2WizardBase(const G1 &g1,const G2 &g2) |
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478 | : _g1(g1), _g2(g2), _mapping_type(SUBGRAPH), _local_mapping(true) {} |
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479 | }; |
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480 | |
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481 | /// Auxiliary class for the function-type interface of %VF2 algorithm. |
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482 | |
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483 | /// This auxiliary class implements the named parameters of |
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484 | /// \ref vf2() "function-type interface" of \ref Vf2 algorithm. |
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485 | /// |
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486 | /// \warning This class should only be used through the function \ref vf2(). |
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487 | /// |
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488 | /// \tparam TR The traits class that defines various types used by the |
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489 | /// algorithm. |
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490 | template<class TR> |
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491 | class Vf2Wizard : public TR |
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492 | { |
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493 | typedef TR Base; |
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494 | typedef typename TR::Graph1 Graph1; |
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495 | typedef typename TR::Graph2 Graph2; |
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496 | |
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497 | typedef typename TR::Mapping Mapping; |
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498 | typedef typename TR::NodeEq NodeEq; |
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499 | |
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500 | using TR::_g1; |
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501 | using TR::_g2; |
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502 | using TR::_mapping_type; |
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503 | using TR::_mapping; |
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504 | using TR::_node_eq; |
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505 | |
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506 | public: |
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507 | ///Constructor |
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508 | Vf2Wizard(const Graph1 &g1,const Graph2 &g2) : Base(g1,g2) {} |
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509 | |
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510 | ///Copy constructor |
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511 | Vf2Wizard(const Base &b) : Base(b) {} |
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512 | |
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513 | |
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514 | template<class T> |
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515 | struct SetMappingBase : public Base { |
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516 | typedef T Mapping; |
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517 | SetMappingBase(const Base &b) : Base(b) {} |
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518 | }; |
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519 | |
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520 | ///\brief \ref named-templ-param "Named parameter" for setting |
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521 | ///the mapping. |
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522 | /// |
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523 | ///\ref named-templ-param "Named parameter" function for setting |
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524 | ///the map that stores the found embedding. |
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525 | template<class T> |
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526 | Vf2Wizard< SetMappingBase<T> > mapping(const T &t) |
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527 | { |
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528 | Base::_mapping=reinterpret_cast<void*>(const_cast<T*>(&t)); |
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529 | Base::_local_mapping = false; |
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530 | return Vf2Wizard<SetMappingBase<T> >(*this); |
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531 | } |
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532 | |
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533 | template<class NE> |
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534 | struct SetNodeEqBase : public Base { |
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535 | typedef NE NodeEq; |
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536 | NodeEq _node_eq; |
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537 | SetNodeEqBase(const Base &b, const NE &node_eq) |
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538 | : Base(b), _node_eq(node_eq) {} |
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539 | }; |
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540 | |
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541 | ///\brief \ref named-templ-param "Named parameter" for setting |
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542 | ///the node equivalence relation. |
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543 | /// |
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544 | ///\ref named-templ-param "Named parameter" function for setting |
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545 | ///the equivalence relation between the nodes. |
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546 | /// |
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547 | ///\param node_eq A bool-valued binary functor determinining |
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548 | ///whether a node is mappable to another. By default it is an |
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549 | ///always true operator. |
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550 | template<class T> |
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551 | Vf2Wizard< SetNodeEqBase<T> > nodeEq(const T &node_eq) |
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552 | { |
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553 | return Vf2Wizard<SetNodeEqBase<T> >(SetNodeEqBase<T>(*this,node_eq)); |
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554 | } |
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555 | |
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556 | ///\brief \ref named-templ-param "Named parameter" for setting |
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557 | ///the node labels. |
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558 | /// |
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559 | ///\ref named-templ-param "Named parameter" function for setting |
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560 | ///the node labels defining equivalence relation between them. |
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561 | /// |
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562 | ///\param m1 It is arbitrary \ref ReadMap "readable node map" of g1. |
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563 | ///\param m1 It is arbitrary \ref ReadMap "readable node map" of g2. |
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564 | /// |
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565 | ///The value type of these maps must be equal comparable. |
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566 | template<class M1, class M2> |
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567 | Vf2Wizard< SetNodeEqBase<bits::vf2::MapEq<M1,M2> > > |
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568 | nodeLabels(const M1 &m1,const M2 &m2) |
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569 | { |
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570 | return nodeEq(bits::vf2::MapEq<M1,M2>(m1,m2)); |
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571 | } |
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572 | |
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573 | ///\brief \ref named-templ-param "Named parameter" for setting |
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574 | ///the mapping type. |
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575 | /// |
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576 | ///\ref named-templ-param "Named parameter" for setting |
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577 | ///the mapping type. |
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578 | /// |
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579 | ///The mapping type is set to \ref SUBGRAPH by default. |
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580 | /// |
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581 | ///\sa See \ref for the possible values. |
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582 | Vf2Wizard<Base> &mappingType(Vf2MappingType m_type) |
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583 | { |
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584 | _mapping_type = m_type; |
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585 | return *this; |
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586 | } |
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587 | |
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588 | ///\brief \ref named-templ-param "Named parameter" for setting |
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589 | ///the mapping type to \ref INDUCED. |
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590 | /// |
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591 | ///\ref named-templ-param "Named parameter" for setting |
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592 | ///the mapping type to \ref INDUCED. |
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593 | Vf2Wizard<Base> &induced() |
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594 | { |
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595 | _mapping_type = INDUCED; |
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596 | return *this; |
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597 | } |
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598 | |
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599 | ///\brief \ref named-templ-param "Named parameter" for setting |
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600 | ///the mapping type to \ref ISOMORPH. |
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601 | /// |
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602 | ///\ref named-templ-param "Named parameter" for setting |
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603 | ///the mapping type to \ref ISOMORPH. |
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604 | Vf2Wizard<Base> &iso() |
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605 | { |
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606 | _mapping_type = ISOMORPH; |
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607 | return *this; |
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608 | } |
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609 | |
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610 | ///Runs VF2 algorithm. |
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611 | |
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612 | ///This method runs VF2 algorithm. |
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613 | /// |
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614 | ///\retval true if a mapping is found. |
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615 | ///\retval false if there is no (more) mapping. |
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616 | bool run() |
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617 | { |
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618 | if(Base::_local_mapping) |
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619 | Base::createMapping(); |
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620 | |
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621 | Vf2<Graph1, Graph2, Mapping, NodeEq > |
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622 | alg(_g1, _g2, *reinterpret_cast<Mapping*>(_mapping), _node_eq); |
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623 | |
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624 | alg.mappingType(_mapping_type); |
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625 | |
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626 | bool ret = alg.find(); |
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627 | |
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628 | if(Base::_local_mapping) |
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629 | delete reinterpret_cast<Mapping*>(_mapping); |
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630 | |
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631 | return ret; |
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632 | } |
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633 | }; |
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634 | |
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635 | ///Function-type interface for VF2 algorithm. |
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636 | |
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637 | /// \ingroup graph_isomorphism |
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638 | ///Function-type interface for VF2 algorithm \cite cordella2004sub. |
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639 | /// |
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640 | ///This function has several \ref named-func-param "named parameters" |
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641 | ///declared as the members of class \ref Vf2Wizard. |
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642 | ///The following examples show how to use these parameters. |
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643 | ///\code |
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644 | /// // Find an embedding of graph g into graph h |
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645 | /// ListGraph::NodeMap<ListGraph::Node> m(g); |
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646 | /// vf2(g,h).mapping(m).run(); |
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647 | /// |
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648 | /// // Check whether graphs g and h are isomorphic |
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649 | /// bool is_iso = vf2(g,h).iso().run(); |
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650 | ///\endcode |
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651 | ///\warning Don't forget to put the \ref Vf2Wizard::run() "run()" |
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652 | ///to the end of the expression. |
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653 | ///\sa Vf2Wizard |
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654 | ///\sa Vf2 |
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655 | template<class G1, class G2> |
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656 | Vf2Wizard<Vf2WizardBase<G1,G2> > vf2(const G1 &g1, const G2 &g2) |
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657 | { |
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658 | return Vf2Wizard<Vf2WizardBase<G1,G2> >(g1,g2); |
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659 | } |
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660 | |
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661 | } |
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662 | |
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663 | #endif |
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