Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/tests/test_core.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 import networkx as nx |
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2 from networkx.testing.utils import assert_nodes_equal |
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3 |
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4 |
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5 class TestCore: |
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6 @classmethod |
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7 def setup_class(cls): |
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8 # G is the example graph in Figure 1 from Batagelj and |
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9 # Zaversnik's paper titled An O(m) Algorithm for Cores |
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10 # Decomposition of Networks, 2003, |
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11 # http://arXiv.org/abs/cs/0310049. With nodes labeled as |
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12 # shown, the 3-core is given by nodes 1-8, the 2-core by nodes |
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13 # 9-16, the 1-core by nodes 17-20 and node 21 is in the |
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14 # 0-core. |
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15 t1 = nx.convert_node_labels_to_integers(nx.tetrahedral_graph(), 1) |
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16 t2 = nx.convert_node_labels_to_integers(t1, 5) |
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17 G = nx.union(t1, t2) |
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18 G.add_edges_from( |
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19 [ |
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20 (3, 7), |
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21 (2, 11), |
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33 (13, 14), |
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34 (14, 15), |
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36 (16, 13), |
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37 ] |
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38 ) |
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39 G.add_node(21) |
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40 cls.G = G |
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41 |
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42 # Create the graph H resulting from the degree sequence |
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43 # [0, 1, 2, 2, 2, 2, 3] when using the Havel-Hakimi algorithm. |
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44 |
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45 degseq = [0, 1, 2, 2, 2, 2, 3] |
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46 H = nx.havel_hakimi_graph(degseq) |
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47 mapping = {6: 0, 0: 1, 4: 3, 5: 6, 3: 4, 1: 2, 2: 5} |
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48 cls.H = nx.relabel_nodes(H, mapping) |
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49 |
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50 def test_trivial(self): |
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51 """Empty graph""" |
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52 G = nx.Graph() |
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53 assert nx.find_cores(G) == {} |
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54 |
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55 def test_find_cores(self): |
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56 core = nx.find_cores(self.G) |
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57 nodes_by_core = [ |
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58 sorted([n for n in core if core[n] == val]) for val in range(4) |
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59 ] |
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60 assert_nodes_equal(nodes_by_core[0], [21]) |
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61 assert_nodes_equal(nodes_by_core[1], [17, 18, 19, 20]) |
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62 assert_nodes_equal(nodes_by_core[2], [9, 10, 11, 12, 13, 14, 15, 16]) |
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63 assert_nodes_equal(nodes_by_core[3], [1, 2, 3, 4, 5, 6, 7, 8]) |
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64 |
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65 def test_core_number(self): |
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66 # smoke test real name |
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67 cores = nx.core_number(self.G) |
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68 |
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69 def test_find_cores2(self): |
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70 core = nx.find_cores(self.H) |
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71 nodes_by_core = [ |
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72 sorted([n for n in core if core[n] == val]) for val in range(3) |
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73 ] |
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74 assert_nodes_equal(nodes_by_core[0], [0]) |
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75 assert_nodes_equal(nodes_by_core[1], [1, 3]) |
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76 assert_nodes_equal(nodes_by_core[2], [2, 4, 5, 6]) |
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77 |
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78 def test_directed_find_cores(self): |
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79 """core number had a bug for directed graphs found in issue #1959""" |
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80 # small example where too timid edge removal can make cn[2] = 3 |
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81 G = nx.DiGraph() |
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82 edges = [(1, 2), (2, 1), (2, 3), (2, 4), (3, 4), (4, 3)] |
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83 G.add_edges_from(edges) |
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84 assert nx.core_number(G) == {1: 2, 2: 2, 3: 2, 4: 2} |
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85 # small example where too aggressive edge removal can make cn[2] = 2 |
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86 more_edges = [(1, 5), (3, 5), (4, 5), (3, 6), (4, 6), (5, 6)] |
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87 G.add_edges_from(more_edges) |
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88 assert nx.core_number(G) == {1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3} |
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89 |
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90 def test_main_core(self): |
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91 main_core_subgraph = nx.k_core(self.H) |
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92 assert sorted(main_core_subgraph.nodes()) == [2, 4, 5, 6] |
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93 |
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94 def test_k_core(self): |
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95 # k=0 |
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96 k_core_subgraph = nx.k_core(self.H, k=0) |
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97 assert sorted(k_core_subgraph.nodes()) == sorted(self.H.nodes()) |
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98 # k=1 |
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99 k_core_subgraph = nx.k_core(self.H, k=1) |
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100 assert sorted(k_core_subgraph.nodes()) == [1, 2, 3, 4, 5, 6] |
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101 # k = 2 |
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102 k_core_subgraph = nx.k_core(self.H, k=2) |
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103 assert sorted(k_core_subgraph.nodes()) == [2, 4, 5, 6] |
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104 |
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105 def test_main_crust(self): |
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106 main_crust_subgraph = nx.k_crust(self.H) |
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107 assert sorted(main_crust_subgraph.nodes()) == [0, 1, 3] |
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108 |
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109 def test_k_crust(self): |
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110 # k = 0 |
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111 k_crust_subgraph = nx.k_crust(self.H, k=2) |
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112 assert sorted(k_crust_subgraph.nodes()) == sorted(self.H.nodes()) |
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113 # k=1 |
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114 k_crust_subgraph = nx.k_crust(self.H, k=1) |
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115 assert sorted(k_crust_subgraph.nodes()) == [0, 1, 3] |
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116 # k=2 |
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117 k_crust_subgraph = nx.k_crust(self.H, k=0) |
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118 assert sorted(k_crust_subgraph.nodes()) == [0] |
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119 |
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120 def test_main_shell(self): |
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121 main_shell_subgraph = nx.k_shell(self.H) |
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122 assert sorted(main_shell_subgraph.nodes()) == [2, 4, 5, 6] |
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123 |
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124 def test_k_shell(self): |
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125 # k=0 |
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126 k_shell_subgraph = nx.k_shell(self.H, k=2) |
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127 assert sorted(k_shell_subgraph.nodes()) == [2, 4, 5, 6] |
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128 # k=1 |
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129 k_shell_subgraph = nx.k_shell(self.H, k=1) |
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130 assert sorted(k_shell_subgraph.nodes()) == [1, 3] |
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131 # k=2 |
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132 k_shell_subgraph = nx.k_shell(self.H, k=0) |
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133 assert sorted(k_shell_subgraph.nodes()) == [0] |
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134 |
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135 def test_k_corona(self): |
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136 # k=0 |
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137 k_corona_subgraph = nx.k_corona(self.H, k=2) |
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138 assert sorted(k_corona_subgraph.nodes()) == [2, 4, 5, 6] |
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139 # k=1 |
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140 k_corona_subgraph = nx.k_corona(self.H, k=1) |
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141 assert sorted(k_corona_subgraph.nodes()) == [1] |
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142 # k=2 |
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143 k_corona_subgraph = nx.k_corona(self.H, k=0) |
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144 assert sorted(k_corona_subgraph.nodes()) == [0] |
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145 |
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146 def test_k_truss(self): |
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147 # k=-1 |
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148 k_truss_subgraph = nx.k_truss(self.G, -1) |
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149 assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21)) |
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150 # k=0 |
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151 k_truss_subgraph = nx.k_truss(self.G, 0) |
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152 assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21)) |
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153 # k=1 |
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154 k_truss_subgraph = nx.k_truss(self.G, 1) |
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155 assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21)) |
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156 # k=2 |
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157 k_truss_subgraph = nx.k_truss(self.G, 2) |
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158 assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21)) |
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159 # k=3 |
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160 k_truss_subgraph = nx.k_truss(self.G, 3) |
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161 assert sorted(k_truss_subgraph.nodes()) == list(range(1, 13)) |
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162 |
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163 k_truss_subgraph = nx.k_truss(self.G, 4) |
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164 assert sorted(k_truss_subgraph.nodes()) == list(range(1, 9)) |
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165 |
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166 k_truss_subgraph = nx.k_truss(self.G, 5) |
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167 assert sorted(k_truss_subgraph.nodes()) == [] |
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168 |
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169 def test_onion_layers(self): |
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170 layers = nx.onion_layers(self.G) |
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171 nodes_by_layer = [ |
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172 sorted([n for n in layers if layers[n] == val]) for val in range(1, 7) |
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173 ] |
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174 assert_nodes_equal(nodes_by_layer[0], [21]) |
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175 assert_nodes_equal(nodes_by_layer[1], [17, 18, 19, 20]) |
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176 assert_nodes_equal(nodes_by_layer[2], [10, 12, 13, 14, 15, 16]) |
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177 assert_nodes_equal(nodes_by_layer[3], [9, 11]) |
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178 assert_nodes_equal(nodes_by_layer[4], [1, 2, 4, 5, 6, 8]) |
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179 assert_nodes_equal(nodes_by_layer[5], [3, 7]) |