1 | /* -*- C++ -*- |
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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) 2003-2008 |
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6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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8 | * |
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9 | * Permission to use, modify and distribute this software is granted |
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10 | * provided that this copyright notice appears in all copies. For |
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11 | * precise terms see the accompanying LICENSE file. |
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12 | * |
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13 | * This software is provided "AS IS" with no warranty of any kind, |
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14 | * express or implied, and with no claim as to its suitability for any |
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15 | * purpose. |
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16 | * |
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17 | */ |
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18 | |
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19 | ///\ingroup demos |
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20 | ///\file |
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21 | ///\brief Minimum weight spanning tree by Kruskal algorithm (demo). |
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22 | /// |
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23 | /// This demo program shows how to find a minimum weight spanning tree |
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24 | /// in a graph by using the Kruskal algorithm. |
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25 | /// |
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26 | /// \include kruskal_demo.cc |
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27 | |
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28 | #include <iostream> |
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29 | #include <vector> |
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30 | |
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31 | #include <lemon/maps.h> |
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32 | #include <lemon/kruskal.h> |
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33 | #include <lemon/list_graph.h> |
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34 | |
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35 | |
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36 | using namespace std; |
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37 | using namespace lemon; |
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38 | |
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39 | |
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40 | int main() { |
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41 | |
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42 | typedef ListGraph::Node Node; |
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43 | typedef ListGraph::Edge Edge; |
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44 | typedef ListGraph::NodeIt NodeIt; |
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45 | typedef ListGraph::EdgeIt EdgeIt; |
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46 | |
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47 | ListGraph g; |
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48 | //Make an example graph g. |
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49 | Node s=g.addNode(); |
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50 | Node v1=g.addNode(); |
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51 | Node v2=g.addNode(); |
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52 | Node v3=g.addNode(); |
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53 | Node v4=g.addNode(); |
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54 | Node t=g.addNode(); |
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55 | |
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56 | Edge e1 = g.addEdge(s, v1); |
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57 | Edge e2 = g.addEdge(s, v2); |
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58 | Edge e3 = g.addEdge(v1, v2); |
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59 | Edge e4 = g.addEdge(v2, v1); |
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60 | Edge e5 = g.addEdge(v1, v3); |
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61 | Edge e6 = g.addEdge(v3, v2); |
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62 | Edge e7 = g.addEdge(v2, v4); |
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63 | Edge e8 = g.addEdge(v4, v3); |
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64 | Edge e9 = g.addEdge(v3, t); |
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65 | Edge e10 = g.addEdge(v4, t); |
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66 | |
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67 | //Make the input for the kruskal. |
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68 | typedef ListGraph::EdgeMap<int> ECostMap; |
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69 | ECostMap edge_cost_map(g); |
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70 | |
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71 | // Fill the edge_cost_map. |
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72 | edge_cost_map.set(e1, -10); |
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73 | edge_cost_map.set(e2, -9); |
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74 | edge_cost_map.set(e3, -8); |
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75 | edge_cost_map.set(e4, -7); |
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76 | edge_cost_map.set(e5, -6); |
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77 | edge_cost_map.set(e6, -5); |
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78 | edge_cost_map.set(e7, -4); |
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79 | edge_cost_map.set(e8, -3); |
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80 | edge_cost_map.set(e9, -2); |
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81 | edge_cost_map.set(e10, -1); |
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82 | |
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83 | // Make the map or the vector, which will contain the edges of the minimum |
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84 | // spanning tree. |
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85 | |
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86 | typedef ListGraph::EdgeMap<bool> EBoolMap; |
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87 | EBoolMap tree_map(g); |
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88 | |
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89 | vector<Edge> tree_edge_vec; |
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90 | |
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91 | |
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92 | //Kruskal Algorithm. |
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93 | |
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94 | //Input: a graph (g); a costmap of the graph (edge_cost_map); a |
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95 | //boolmap (tree_map) or a vector (tree_edge_vec) to store the edges |
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96 | //of the output tree; |
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97 | |
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98 | //Output: it gives back the value of the minimum spanning tree, and |
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99 | //set true for the edges of the tree in the edgemap tree_map or |
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100 | //store the edges of the tree in the vector tree_edge_vec; |
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101 | |
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102 | |
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103 | // Kruskal with boolmap; |
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104 | std::cout << "The weight of the minimum spanning tree is " << |
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105 | kruskal(g, edge_cost_map, tree_map)<<std::endl; |
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106 | |
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107 | int k=0; |
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108 | std::cout << "The edges of the tree:" ; |
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109 | for(EdgeIt i(g); i!=INVALID; ++i) |
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110 | if (tree_map[i]) { |
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111 | std::cout << g.id(i) <<";"; |
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112 | ++k; |
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113 | } |
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114 | |
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115 | std::cout << std::endl; |
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116 | std::cout << "The size of the tree is: "<< k << std::endl; |
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117 | |
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118 | |
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119 | // Kruskal with vector; |
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120 | std::cout << "The weight of the minimum spanning tree again is " << |
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121 | kruskal(g, edge_cost_map, std::back_inserter(tree_edge_vec)) <<std::endl; |
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122 | |
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123 | |
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124 | |
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125 | std::cout << "The edges of the tree again: " ; |
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126 | for(int i=tree_edge_vec.size()-1; i>=0; i--) |
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127 | std::cout << g.id(tree_edge_vec[i]) << ";" ; |
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128 | std::cout << std::endl; |
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129 | std::cout << "The size of the tree again is: "<< tree_edge_vec.size() |
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130 | << std::endl; |
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131 | |
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132 | |
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133 | return 0; |
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134 | } |
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