Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/coloring/tests/test_coloring.py @ 0:4f3585e2f14b draft default tip
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author | shellac |
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date | Mon, 22 Mar 2021 18:12:50 +0000 |
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1 """Greedy coloring test suite. |
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2 |
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3 """ |
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4 |
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5 import networkx as nx |
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6 import pytest |
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7 |
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8 |
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9 is_coloring = nx.algorithms.coloring.equitable_coloring.is_coloring |
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10 is_equitable = nx.algorithms.coloring.equitable_coloring.is_equitable |
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11 |
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12 |
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13 ALL_STRATEGIES = [ |
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14 "largest_first", |
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15 "random_sequential", |
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16 "smallest_last", |
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17 "independent_set", |
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18 "connected_sequential_bfs", |
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19 "connected_sequential_dfs", |
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20 "connected_sequential", |
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21 "saturation_largest_first", |
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22 "DSATUR", |
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23 ] |
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24 |
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25 # List of strategies where interchange=True results in an error |
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26 INTERCHANGE_INVALID = ["independent_set", "saturation_largest_first", "DSATUR"] |
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27 |
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28 |
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29 class TestColoring: |
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30 def test_basic_cases(self): |
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31 def check_basic_case(graph_func, n_nodes, strategy, interchange): |
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32 graph = graph_func() |
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33 coloring = nx.coloring.greedy_color( |
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34 graph, strategy=strategy, interchange=interchange |
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35 ) |
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36 assert verify_length(coloring, n_nodes) |
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37 assert verify_coloring(graph, coloring) |
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38 |
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39 for graph_func, n_nodes in BASIC_TEST_CASES.items(): |
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40 for interchange in [True, False]: |
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41 for strategy in ALL_STRATEGIES: |
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42 check_basic_case(graph_func, n_nodes, strategy, False) |
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43 if strategy not in INTERCHANGE_INVALID: |
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44 check_basic_case(graph_func, n_nodes, strategy, True) |
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45 |
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46 def test_special_cases(self): |
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47 def check_special_case(strategy, graph_func, interchange, colors): |
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48 graph = graph_func() |
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49 coloring = nx.coloring.greedy_color( |
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50 graph, strategy=strategy, interchange=interchange |
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51 ) |
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52 if not hasattr(colors, "__len__"): |
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53 colors = [colors] |
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54 assert any(verify_length(coloring, n_colors) for n_colors in colors) |
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55 assert verify_coloring(graph, coloring) |
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56 |
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57 for strategy, arglist in SPECIAL_TEST_CASES.items(): |
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58 for args in arglist: |
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59 check_special_case(strategy, args[0], args[1], args[2]) |
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60 |
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61 def test_interchange_invalid(self): |
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62 graph = one_node_graph() |
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63 for strategy in INTERCHANGE_INVALID: |
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64 pytest.raises( |
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65 nx.NetworkXPointlessConcept, |
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66 nx.coloring.greedy_color, |
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67 graph, |
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68 strategy=strategy, |
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69 interchange=True, |
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70 ) |
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71 |
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72 def test_bad_inputs(self): |
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73 graph = one_node_graph() |
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74 pytest.raises( |
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75 nx.NetworkXError, |
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76 nx.coloring.greedy_color, |
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77 graph, |
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78 strategy="invalid strategy", |
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79 ) |
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80 |
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81 def test_strategy_as_function(self): |
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82 graph = lf_shc() |
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83 colors_1 = nx.coloring.greedy_color(graph, "largest_first") |
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84 colors_2 = nx.coloring.greedy_color(graph, nx.coloring.strategy_largest_first) |
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85 assert colors_1 == colors_2 |
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86 |
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87 def test_seed_argument(self): |
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88 graph = lf_shc() |
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89 rs = nx.coloring.strategy_random_sequential |
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90 c1 = nx.coloring.greedy_color(graph, lambda g, c: rs(g, c, seed=1)) |
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91 for u, v in graph.edges: |
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92 assert c1[u] != c1[v] |
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93 |
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94 def test_is_coloring(self): |
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95 G = nx.Graph() |
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96 G.add_edges_from([(0, 1), (1, 2)]) |
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97 coloring = {0: 0, 1: 1, 2: 0} |
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98 assert is_coloring(G, coloring) |
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99 |
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100 coloring[0] = 1 |
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101 assert not is_coloring(G, coloring) |
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102 assert not is_equitable(G, coloring) |
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103 |
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104 def test_is_equitable(self): |
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105 G = nx.Graph() |
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106 G.add_edges_from([(0, 1), (1, 2)]) |
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107 coloring = {0: 0, 1: 1, 2: 0} |
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108 assert is_equitable(G, coloring) |
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109 |
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110 G.add_edges_from([(2, 3), (2, 4), (2, 5)]) |
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111 coloring[3] = 1 |
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112 coloring[4] = 1 |
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113 coloring[5] = 1 |
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114 assert is_coloring(G, coloring) |
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115 assert not is_equitable(G, coloring) |
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116 |
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117 def test_num_colors(self): |
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118 G = nx.Graph() |
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119 G.add_edges_from([(0, 1), (0, 2), (0, 3)]) |
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120 pytest.raises(nx.NetworkXAlgorithmError, nx.coloring.equitable_color, G, 2) |
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121 |
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122 def test_equitable_color(self): |
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123 G = nx.fast_gnp_random_graph(n=10, p=0.2, seed=42) |
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124 coloring = nx.coloring.equitable_color(G, max_degree(G) + 1) |
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125 assert is_equitable(G, coloring) |
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126 |
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127 def test_equitable_color_empty(self): |
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128 G = nx.empty_graph() |
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129 coloring = nx.coloring.equitable_color(G, max_degree(G) + 1) |
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130 assert is_equitable(G, coloring) |
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131 |
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132 def test_equitable_color_large(self): |
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133 G = nx.fast_gnp_random_graph(100, 0.1, seed=42) |
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134 coloring = nx.coloring.equitable_color(G, max_degree(G) + 1) |
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135 assert is_equitable(G, coloring, num_colors=max_degree(G) + 1) |
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136 |
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137 def test_case_V_plus_not_in_A_cal(self): |
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138 # Hand crafted case to avoid the easy case. |
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139 L = { |
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140 0: [2, 5], |
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141 1: [3, 4], |
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142 2: [0, 8], |
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143 3: [1, 7], |
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144 4: [1, 6], |
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145 5: [0, 6], |
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146 6: [4, 5], |
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147 7: [3], |
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148 8: [2], |
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149 } |
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150 |
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151 F = { |
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152 # Color 0 |
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153 0: 0, |
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154 1: 0, |
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155 # Color 1 |
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156 2: 1, |
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157 3: 1, |
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158 4: 1, |
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159 5: 1, |
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160 # Color 2 |
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161 6: 2, |
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162 7: 2, |
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163 8: 2, |
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164 } |
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165 |
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166 C = nx.algorithms.coloring.equitable_coloring.make_C_from_F(F) |
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167 N = nx.algorithms.coloring.equitable_coloring.make_N_from_L_C(L, C) |
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168 H = nx.algorithms.coloring.equitable_coloring.make_H_from_C_N(C, N) |
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169 |
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170 nx.algorithms.coloring.equitable_coloring.procedure_P( |
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171 V_minus=0, V_plus=1, N=N, H=H, F=F, C=C, L=L |
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172 ) |
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173 check_state(L=L, N=N, H=H, F=F, C=C) |
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174 |
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175 def test_cast_no_solo(self): |
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176 L = { |
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177 0: [8, 9], |
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178 1: [10, 11], |
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179 2: [8], |
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180 3: [9], |
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181 4: [10, 11], |
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182 5: [8], |
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183 6: [9], |
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184 7: [10, 11], |
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185 8: [0, 2, 5], |
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186 9: [0, 3, 6], |
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187 10: [1, 4, 7], |
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188 11: [1, 4, 7], |
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189 } |
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190 |
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191 F = {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 3, 6: 3, 7: 3, 8: 1, 9: 1, 10: 1, 11: 1} |
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192 |
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193 C = nx.algorithms.coloring.equitable_coloring.make_C_from_F(F) |
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194 N = nx.algorithms.coloring.equitable_coloring.make_N_from_L_C(L, C) |
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195 H = nx.algorithms.coloring.equitable_coloring.make_H_from_C_N(C, N) |
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196 |
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197 nx.algorithms.coloring.equitable_coloring.procedure_P( |
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198 V_minus=0, V_plus=1, N=N, H=H, F=F, C=C, L=L |
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199 ) |
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200 check_state(L=L, N=N, H=H, F=F, C=C) |
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201 |
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202 def test_hard_prob(self): |
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203 # Tests for two levels of recursion. |
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204 num_colors, s = 5, 5 |
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205 |
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206 G = nx.Graph() |
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207 G.add_edges_from( |
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208 [ |
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209 (0, 10), |
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210 (0, 11), |
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211 (0, 12), |
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212 (0, 23), |
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213 (10, 4), |
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214 (10, 9), |
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215 (10, 20), |
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216 (11, 4), |
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217 (11, 8), |
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218 (11, 16), |
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219 (12, 9), |
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220 (12, 22), |
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221 (12, 23), |
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222 (23, 7), |
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255 ] |
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256 ) |
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257 F = {node: node // s for node in range(num_colors * s)} |
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258 F[s - 1] = num_colors - 1 |
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259 |
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260 params = make_params_from_graph(G=G, F=F) |
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261 |
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262 nx.algorithms.coloring.equitable_coloring.procedure_P( |
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263 V_minus=0, V_plus=num_colors - 1, **params |
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264 ) |
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265 check_state(**params) |
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266 |
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267 def test_hardest_prob(self): |
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268 # Tests for two levels of recursion. |
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269 num_colors, s = 10, 4 |
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270 |
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271 G = nx.Graph() |
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272 G.add_edges_from( |
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273 [ |
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276 (0, 29), |
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281 (19, 9), |
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282 (19, 15), |
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283 (19, 21), |
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288 (24, 11), |
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291 (24, 30), |
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292 (24, 37), |
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293 (24, 38), |
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297 (29, 15), |
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304 (30, 15), |
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307 (30, 39), |
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308 (35, 6), |
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309 (35, 9), |
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310 (35, 14), |
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312 (35, 22), |
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313 (35, 23), |
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314 (35, 25), |
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315 (35, 27), |
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317 (1, 26), |
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318 (1, 31), |
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319 (1, 34), |
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340 (31, 25), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
341 (31, 27), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
342 (34, 7), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
343 (34, 8), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
344 (34, 13), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
345 (34, 18), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
346 (34, 22), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
347 (34, 23), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
348 (34, 25), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
349 (34, 27), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
350 (38, 4), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
351 (38, 9), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
352 (38, 12), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
353 (38, 14), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
354 (38, 21), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
355 (38, 27), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
356 (2, 3), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
357 (2, 18), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
358 (2, 21), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
359 (2, 28), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
360 (2, 32), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
361 (2, 33), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
362 (2, 36), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
363 (2, 37), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
364 (2, 39), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
365 (3, 5), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
366 (3, 9), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
367 (3, 13), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
368 (3, 22), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
369 (3, 23), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
370 (3, 25), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
371 (3, 27), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
372 (18, 6), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
373 (18, 11), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
374 (18, 15), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
375 (18, 39), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
376 (21, 4), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
377 (21, 10), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
378 (21, 14), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
379 (21, 36), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
380 (28, 6), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
381 (28, 10), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
382 (28, 14), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
383 (28, 16), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
384 (28, 17), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
385 (28, 25), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
386 (28, 27), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
387 (32, 5), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
388 (32, 10), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
389 (32, 12), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
390 (32, 16), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
391 (32, 17), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
392 (32, 22), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
393 (32, 23), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
394 (33, 7), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
395 (33, 10), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
396 (33, 12), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
397 (33, 16), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
398 (33, 17), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
399 (33, 25), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
400 (33, 27), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
401 (36, 5), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
402 (36, 8), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
403 (36, 15), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
404 (36, 16), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
405 (36, 17), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
406 (36, 25), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
407 (36, 27), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
408 (37, 5), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
409 (37, 11), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
410 (37, 15), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
411 (37, 16), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
412 (37, 17), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
413 (37, 22), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
414 (37, 23), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
415 (39, 7), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
416 (39, 8), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
417 (39, 15), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
418 (39, 22), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
419 (39, 23), |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
420 ] |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
421 ) |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
422 F = {node: node // s for node in range(num_colors * s)} |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
423 F[s - 1] = num_colors - 1 # V- = 0, V+ = num_colors - 1 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
424 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
425 params = make_params_from_graph(G=G, F=F) |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
426 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
427 nx.algorithms.coloring.equitable_coloring.procedure_P( |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
428 V_minus=0, V_plus=num_colors - 1, **params |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
429 ) |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
430 check_state(**params) |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
431 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
432 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
433 # ############################ Utility functions ############################ |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
434 def verify_coloring(graph, coloring): |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
435 for node in graph.nodes(): |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
436 if node not in coloring: |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
437 return False |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
438 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
439 color = coloring[node] |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
440 for neighbor in graph.neighbors(node): |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
441 if coloring[neighbor] == color: |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
442 return False |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
443 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
444 return True |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
445 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
446 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
447 def verify_length(coloring, expected): |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
448 coloring = dict_to_sets(coloring) |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
449 return len(coloring) == expected |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
450 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
451 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
452 def dict_to_sets(colors): |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
453 if len(colors) == 0: |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
454 return [] |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
455 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
456 k = max(colors.values()) + 1 |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
changeset
|
457 sets = [set() for _ in range(k)] |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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458 |
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459 for (node, color) in colors.items(): |
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460 sets[color].add(node) |
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461 |
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462 return sets |
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463 |
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464 |
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465 # ############################ Graph Generation ############################ |
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466 |
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467 |
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468 def empty_graph(): |
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469 return nx.Graph() |
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470 |
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471 |
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472 def one_node_graph(): |
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473 graph = nx.Graph() |
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474 graph.add_nodes_from([1]) |
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475 return graph |
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476 |
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477 |
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478 def two_node_graph(): |
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479 graph = nx.Graph() |
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480 graph.add_nodes_from([1, 2]) |
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481 graph.add_edges_from([(1, 2)]) |
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482 return graph |
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483 |
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484 |
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485 def three_node_clique(): |
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486 graph = nx.Graph() |
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487 graph.add_nodes_from([1, 2, 3]) |
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488 graph.add_edges_from([(1, 2), (1, 3), (2, 3)]) |
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489 return graph |
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490 |
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491 |
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492 def disconnected(): |
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493 graph = nx.Graph() |
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494 graph.add_edges_from([(1, 2), (2, 3), (4, 5), (5, 6)]) |
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495 return graph |
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496 |
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497 |
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498 def rs_shc(): |
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499 graph = nx.Graph() |
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500 graph.add_nodes_from([1, 2, 3, 4]) |
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501 graph.add_edges_from([(1, 2), (2, 3), (3, 4)]) |
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502 return graph |
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503 |
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504 |
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505 def slf_shc(): |
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506 graph = nx.Graph() |
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507 graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7]) |
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508 graph.add_edges_from( |
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509 [(1, 2), (1, 5), (1, 6), (2, 3), (2, 7), (3, 4), (3, 7), (4, 5), (4, 6), (5, 6)] |
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510 ) |
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511 return graph |
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512 |
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513 |
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514 def slf_hc(): |
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515 graph = nx.Graph() |
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516 graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7, 8]) |
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517 graph.add_edges_from( |
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518 [ |
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519 (1, 2), |
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520 (1, 3), |
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521 (1, 4), |
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522 (1, 5), |
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523 (2, 3), |
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524 (2, 4), |
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525 (2, 6), |
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526 (5, 7), |
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527 (5, 8), |
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528 (6, 7), |
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529 (6, 8), |
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530 (7, 8), |
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531 ] |
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532 ) |
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533 return graph |
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534 |
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535 |
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536 def lf_shc(): |
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537 graph = nx.Graph() |
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538 graph.add_nodes_from([1, 2, 3, 4, 5, 6]) |
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539 graph.add_edges_from([(6, 1), (1, 4), (4, 3), (3, 2), (2, 5)]) |
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540 return graph |
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541 |
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542 |
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543 def lf_hc(): |
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544 graph = nx.Graph() |
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545 graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7]) |
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546 graph.add_edges_from( |
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547 [ |
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548 (1, 7), |
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549 (1, 6), |
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550 (1, 3), |
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551 (1, 4), |
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552 (7, 2), |
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553 (2, 6), |
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554 (2, 3), |
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555 (2, 5), |
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556 (5, 3), |
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557 (5, 4), |
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558 (4, 3), |
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559 ] |
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560 ) |
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561 return graph |
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562 |
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563 |
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564 def sl_shc(): |
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565 graph = nx.Graph() |
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566 graph.add_nodes_from([1, 2, 3, 4, 5, 6]) |
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567 graph.add_edges_from( |
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568 [(1, 2), (1, 3), (2, 3), (1, 4), (2, 5), (3, 6), (4, 5), (4, 6), (5, 6)] |
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569 ) |
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570 return graph |
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571 |
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572 |
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573 def sl_hc(): |
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574 graph = nx.Graph() |
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575 graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7, 8]) |
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576 graph.add_edges_from( |
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577 [ |
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578 (1, 2), |
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579 (1, 3), |
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580 (1, 5), |
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|
581 (1, 7), |
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582 (2, 3), |
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583 (2, 4), |
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584 (2, 8), |
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585 (8, 4), |
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586 (8, 6), |
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587 (8, 7), |
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588 (7, 5), |
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589 (7, 6), |
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590 (3, 4), |
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591 (4, 6), |
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592 (6, 5), |
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593 (5, 3), |
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594 ] |
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595 ) |
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596 return graph |
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597 |
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598 |
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599 def gis_shc(): |
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600 graph = nx.Graph() |
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601 graph.add_nodes_from([1, 2, 3, 4]) |
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602 graph.add_edges_from([(1, 2), (2, 3), (3, 4)]) |
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603 return graph |
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604 |
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605 |
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606 def gis_hc(): |
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607 graph = nx.Graph() |
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608 graph.add_nodes_from([1, 2, 3, 4, 5, 6]) |
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609 graph.add_edges_from([(1, 5), (2, 5), (3, 6), (4, 6), (5, 6)]) |
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610 return graph |
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611 |
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612 |
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613 def cs_shc(): |
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614 graph = nx.Graph() |
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615 graph.add_nodes_from([1, 2, 3, 4, 5]) |
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616 graph.add_edges_from([(1, 2), (1, 5), (2, 3), (2, 4), (2, 5), (3, 4), (4, 5)]) |
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617 return graph |
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618 |
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619 |
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620 def rsi_shc(): |
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621 graph = nx.Graph() |
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622 graph.add_nodes_from([1, 2, 3, 4, 5, 6]) |
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623 graph.add_edges_from( |
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624 [(1, 2), (1, 5), (1, 6), (2, 3), (3, 4), (4, 5), (4, 6), (5, 6)] |
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625 ) |
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626 return graph |
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627 |
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628 |
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629 def lfi_shc(): |
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630 graph = nx.Graph() |
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631 graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7]) |
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632 graph.add_edges_from( |
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633 [(1, 2), (1, 5), (1, 6), (2, 3), (2, 7), (3, 4), (3, 7), (4, 5), (4, 6), (5, 6)] |
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634 ) |
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635 return graph |
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636 |
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637 |
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638 def lfi_hc(): |
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639 graph = nx.Graph() |
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640 graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7, 8, 9]) |
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641 graph.add_edges_from( |
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642 [ |
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643 (1, 2), |
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644 (1, 5), |
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645 (1, 6), |
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646 (1, 7), |
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647 (2, 3), |
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648 (2, 8), |
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649 (2, 9), |
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650 (3, 4), |
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651 (3, 8), |
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652 (3, 9), |
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653 (4, 5), |
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654 (4, 6), |
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655 (4, 7), |
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656 (5, 6), |
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657 ] |
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658 ) |
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659 return graph |
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660 |
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661 |
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662 def sli_shc(): |
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663 graph = nx.Graph() |
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664 graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7]) |
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665 graph.add_edges_from( |
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666 [ |
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667 (1, 2), |
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668 (1, 3), |
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669 (1, 5), |
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670 (1, 7), |
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671 (2, 3), |
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672 (2, 6), |
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673 (3, 4), |
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674 (4, 5), |
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675 (4, 6), |
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676 (5, 7), |
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677 (6, 7), |
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678 ] |
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679 ) |
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680 return graph |
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681 |
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|
682 |
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683 def sli_hc(): |
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684 graph = nx.Graph() |
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685 graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7, 8, 9]) |
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686 graph.add_edges_from( |
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687 [ |
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688 (1, 2), |
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689 (1, 3), |
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690 (1, 4), |
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691 (1, 5), |
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692 (2, 3), |
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693 (2, 7), |
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694 (2, 8), |
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695 (2, 9), |
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696 (3, 6), |
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697 (3, 7), |
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698 (3, 9), |
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699 (4, 5), |
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700 (4, 6), |
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701 (4, 8), |
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702 (4, 9), |
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703 (5, 6), |
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704 (5, 7), |
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705 (5, 8), |
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706 (6, 7), |
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707 (6, 9), |
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708 (7, 8), |
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709 (8, 9), |
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710 ] |
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711 ) |
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712 return graph |
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713 |
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714 |
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715 # -------------------------------------------------------------------------- |
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716 # Basic tests for all strategies |
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717 # For each basic graph function, specify the number of expected colors. |
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718 BASIC_TEST_CASES = { |
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719 empty_graph: 0, |
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720 one_node_graph: 1, |
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721 two_node_graph: 2, |
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722 disconnected: 2, |
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723 three_node_clique: 3, |
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724 } |
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725 |
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726 |
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727 # -------------------------------------------------------------------------- |
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728 # Special test cases. Each strategy has a list of tuples of the form |
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729 # (graph function, interchange, valid # of colors) |
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730 SPECIAL_TEST_CASES = { |
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731 "random_sequential": [ |
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732 (rs_shc, False, (2, 3)), |
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733 (rs_shc, True, 2), |
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734 (rsi_shc, True, (3, 4)), |
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735 ], |
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736 "saturation_largest_first": [(slf_shc, False, (3, 4)), (slf_hc, False, 4)], |
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737 "largest_first": [ |
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738 (lf_shc, False, (2, 3)), |
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739 (lf_hc, False, 4), |
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740 (lf_shc, True, 2), |
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741 (lf_hc, True, 3), |
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742 (lfi_shc, True, (3, 4)), |
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743 (lfi_hc, True, 4), |
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744 ], |
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745 "smallest_last": [ |
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746 (sl_shc, False, (3, 4)), |
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747 (sl_hc, False, 5), |
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748 (sl_shc, True, 3), |
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749 (sl_hc, True, 4), |
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750 (sli_shc, True, (3, 4)), |
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751 (sli_hc, True, 5), |
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752 ], |
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753 "independent_set": [(gis_shc, False, (2, 3)), (gis_hc, False, 3)], |
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754 "connected_sequential": [(cs_shc, False, (3, 4)), (cs_shc, True, 3)], |
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755 "connected_sequential_dfs": [(cs_shc, False, (3, 4))], |
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756 } |
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757 |
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758 |
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759 # -------------------------------------------------------------------------- |
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760 # Helper functions to test |
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761 # (graph function, interchange, valid # of colors) |
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762 |
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763 |
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764 def check_state(L, N, H, F, C): |
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765 s = len(C[0]) |
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766 num_colors = len(C.keys()) |
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767 |
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768 assert all(u in L[v] for u in L.keys() for v in L[u]) |
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769 assert all(F[u] != F[v] for u in L.keys() for v in L[u]) |
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770 assert all(len(L[u]) < num_colors for u in L.keys()) |
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771 assert all(len(C[x]) == s for x in C) |
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772 assert all(H[(c1, c2)] >= 0 for c1 in C.keys() for c2 in C.keys()) |
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773 assert all(N[(u, F[u])] == 0 for u in F.keys()) |
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774 |
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775 |
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776 def max_degree(G): |
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777 """Get the maximum degree of any node in G.""" |
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778 return max([G.degree(node) for node in G.nodes]) if len(G.nodes) > 0 else 0 |
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779 |
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780 |
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781 def make_params_from_graph(G, F): |
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782 """Returns {N, L, H, C} from the given graph.""" |
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783 num_nodes = len(G) |
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784 L = {u: [] for u in range(num_nodes)} |
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785 for (u, v) in G.edges: |
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786 L[u].append(v) |
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787 L[v].append(u) |
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788 |
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789 C = nx.algorithms.coloring.equitable_coloring.make_C_from_F(F) |
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790 N = nx.algorithms.coloring.equitable_coloring.make_N_from_L_C(L, C) |
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791 H = nx.algorithms.coloring.equitable_coloring.make_H_from_C_N(C, N) |
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792 |
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793 return {"N": N, "F": F, "C": C, "H": H, "L": L} |