Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/connectivity/tests/test_cuts.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 pytest |
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2 |
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3 import networkx as nx |
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4 from networkx.algorithms import flow |
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5 from networkx.algorithms.connectivity import minimum_st_edge_cut |
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6 from networkx.algorithms.connectivity import minimum_st_node_cut |
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7 from networkx.utils import arbitrary_element |
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8 |
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9 flow_funcs = [ |
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10 flow.boykov_kolmogorov, |
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11 flow.dinitz, |
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12 flow.edmonds_karp, |
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13 flow.preflow_push, |
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14 flow.shortest_augmenting_path, |
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15 ] |
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16 |
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17 # Tests for node and edge cutsets |
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18 |
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19 |
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20 def _generate_no_biconnected(max_attempts=50): |
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21 attempts = 0 |
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22 while True: |
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23 G = nx.fast_gnp_random_graph(100, 0.0575, seed=42) |
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24 if nx.is_connected(G) and not nx.is_biconnected(G): |
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25 attempts = 0 |
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26 yield G |
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27 else: |
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28 if attempts >= max_attempts: |
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29 msg = f"Tried {attempts} times: no suitable Graph." |
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30 raise Exception(msg) |
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31 else: |
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32 attempts += 1 |
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33 |
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34 |
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35 def test_articulation_points(): |
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36 Ggen = _generate_no_biconnected() |
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37 for flow_func in flow_funcs: |
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38 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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39 for i in range(1): # change 1 to 3 or more for more realizations. |
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40 G = next(Ggen) |
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41 cut = nx.minimum_node_cut(G, flow_func=flow_func) |
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42 assert len(cut) == 1, errmsg |
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43 assert cut.pop() in set(nx.articulation_points(G)), errmsg |
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44 |
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45 |
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46 def test_brandes_erlebach_book(): |
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47 # Figure 1 chapter 7: Connectivity |
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48 # http://www.informatik.uni-augsburg.de/thi/personen/kammer/Graph_Connectivity.pdf |
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49 G = nx.Graph() |
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50 G.add_edges_from( |
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51 [ |
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52 (1, 2), |
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53 (1, 3), |
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54 (1, 4), |
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55 (1, 5), |
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56 (2, 3), |
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57 (2, 6), |
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58 (3, 4), |
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59 (3, 6), |
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60 (4, 6), |
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61 (4, 7), |
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62 (5, 7), |
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63 (6, 8), |
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64 (6, 9), |
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65 (7, 8), |
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66 (7, 10), |
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67 (8, 11), |
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68 (9, 10), |
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69 (9, 11), |
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70 (10, 11), |
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71 ] |
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72 ) |
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73 for flow_func in flow_funcs: |
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74 kwargs = dict(flow_func=flow_func) |
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75 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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76 # edge cutsets |
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77 assert 3 == len(nx.minimum_edge_cut(G, 1, 11, **kwargs)), errmsg |
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78 edge_cut = nx.minimum_edge_cut(G, **kwargs) |
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79 # Node 5 has only two edges |
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80 assert 2 == len(edge_cut), errmsg |
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81 H = G.copy() |
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82 H.remove_edges_from(edge_cut) |
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83 assert not nx.is_connected(H), errmsg |
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84 # node cuts |
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85 assert {6, 7} == minimum_st_node_cut(G, 1, 11, **kwargs), errmsg |
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86 assert {6, 7} == nx.minimum_node_cut(G, 1, 11, **kwargs), errmsg |
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87 node_cut = nx.minimum_node_cut(G, **kwargs) |
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88 assert 2 == len(node_cut), errmsg |
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89 H = G.copy() |
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90 H.remove_nodes_from(node_cut) |
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91 assert not nx.is_connected(H), errmsg |
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92 |
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93 |
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94 def test_white_harary_paper(): |
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95 # Figure 1b white and harary (2001) |
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96 # http://eclectic.ss.uci.edu/~drwhite/sm-w23.PDF |
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97 # A graph with high adhesion (edge connectivity) and low cohesion |
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98 # (node connectivity) |
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99 G = nx.disjoint_union(nx.complete_graph(4), nx.complete_graph(4)) |
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100 G.remove_node(7) |
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101 for i in range(4, 7): |
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102 G.add_edge(0, i) |
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103 G = nx.disjoint_union(G, nx.complete_graph(4)) |
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104 G.remove_node(G.order() - 1) |
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105 for i in range(7, 10): |
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106 G.add_edge(0, i) |
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107 for flow_func in flow_funcs: |
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108 kwargs = dict(flow_func=flow_func) |
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109 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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110 # edge cuts |
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111 edge_cut = nx.minimum_edge_cut(G, **kwargs) |
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112 assert 3 == len(edge_cut), errmsg |
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113 H = G.copy() |
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114 H.remove_edges_from(edge_cut) |
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115 assert not nx.is_connected(H), errmsg |
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116 # node cuts |
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117 node_cut = nx.minimum_node_cut(G, **kwargs) |
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118 assert {0} == node_cut, errmsg |
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119 H = G.copy() |
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120 H.remove_nodes_from(node_cut) |
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121 assert not nx.is_connected(H), errmsg |
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122 |
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123 |
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124 def test_petersen_cutset(): |
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125 G = nx.petersen_graph() |
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126 for flow_func in flow_funcs: |
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127 kwargs = dict(flow_func=flow_func) |
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128 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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129 # edge cuts |
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130 edge_cut = nx.minimum_edge_cut(G, **kwargs) |
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131 assert 3 == len(edge_cut), errmsg |
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132 H = G.copy() |
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133 H.remove_edges_from(edge_cut) |
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134 assert not nx.is_connected(H), errmsg |
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135 # node cuts |
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136 node_cut = nx.minimum_node_cut(G, **kwargs) |
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137 assert 3 == len(node_cut), errmsg |
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138 H = G.copy() |
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139 H.remove_nodes_from(node_cut) |
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140 assert not nx.is_connected(H), errmsg |
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141 |
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142 |
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143 def test_octahedral_cutset(): |
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144 G = nx.octahedral_graph() |
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145 for flow_func in flow_funcs: |
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146 kwargs = dict(flow_func=flow_func) |
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147 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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148 # edge cuts |
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149 edge_cut = nx.minimum_edge_cut(G, **kwargs) |
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150 assert 4 == len(edge_cut), errmsg |
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151 H = G.copy() |
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152 H.remove_edges_from(edge_cut) |
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153 assert not nx.is_connected(H), errmsg |
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154 # node cuts |
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155 node_cut = nx.minimum_node_cut(G, **kwargs) |
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156 assert 4 == len(node_cut), errmsg |
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157 H = G.copy() |
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158 H.remove_nodes_from(node_cut) |
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159 assert not nx.is_connected(H), errmsg |
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160 |
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161 |
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162 def test_icosahedral_cutset(): |
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163 G = nx.icosahedral_graph() |
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164 for flow_func in flow_funcs: |
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165 kwargs = dict(flow_func=flow_func) |
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166 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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167 # edge cuts |
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168 edge_cut = nx.minimum_edge_cut(G, **kwargs) |
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169 assert 5 == len(edge_cut), errmsg |
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170 H = G.copy() |
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171 H.remove_edges_from(edge_cut) |
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172 assert not nx.is_connected(H), errmsg |
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173 # node cuts |
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174 node_cut = nx.minimum_node_cut(G, **kwargs) |
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175 assert 5 == len(node_cut), errmsg |
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176 H = G.copy() |
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177 H.remove_nodes_from(node_cut) |
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178 assert not nx.is_connected(H), errmsg |
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179 |
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180 |
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181 def test_node_cutset_exception(): |
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182 G = nx.Graph() |
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183 G.add_edges_from([(1, 2), (3, 4)]) |
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184 for flow_func in flow_funcs: |
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185 pytest.raises(nx.NetworkXError, nx.minimum_node_cut, G, flow_func=flow_func) |
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186 |
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187 |
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188 def test_node_cutset_random_graphs(): |
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189 for flow_func in flow_funcs: |
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190 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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191 for i in range(3): |
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192 G = nx.fast_gnp_random_graph(50, 0.25, seed=42) |
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193 if not nx.is_connected(G): |
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194 ccs = iter(nx.connected_components(G)) |
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195 start = arbitrary_element(next(ccs)) |
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196 G.add_edges_from((start, arbitrary_element(c)) for c in ccs) |
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197 cutset = nx.minimum_node_cut(G, flow_func=flow_func) |
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198 assert nx.node_connectivity(G) == len(cutset), errmsg |
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199 G.remove_nodes_from(cutset) |
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200 assert not nx.is_connected(G), errmsg |
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201 |
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202 |
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203 def test_edge_cutset_random_graphs(): |
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204 for flow_func in flow_funcs: |
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205 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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206 for i in range(3): |
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207 G = nx.fast_gnp_random_graph(50, 0.25, seed=42) |
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208 if not nx.is_connected(G): |
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209 ccs = iter(nx.connected_components(G)) |
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210 start = arbitrary_element(next(ccs)) |
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211 G.add_edges_from((start, arbitrary_element(c)) for c in ccs) |
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212 cutset = nx.minimum_edge_cut(G, flow_func=flow_func) |
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213 assert nx.edge_connectivity(G) == len(cutset), errmsg |
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214 G.remove_edges_from(cutset) |
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215 assert not nx.is_connected(G), errmsg |
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216 |
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217 |
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218 def test_empty_graphs(): |
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219 G = nx.Graph() |
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220 D = nx.DiGraph() |
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221 for interface_func in [nx.minimum_node_cut, nx.minimum_edge_cut]: |
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222 for flow_func in flow_funcs: |
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223 pytest.raises( |
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224 nx.NetworkXPointlessConcept, interface_func, G, flow_func=flow_func |
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225 ) |
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226 pytest.raises( |
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227 nx.NetworkXPointlessConcept, interface_func, D, flow_func=flow_func |
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228 ) |
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229 |
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230 |
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231 def test_unbounded(): |
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232 G = nx.complete_graph(5) |
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233 for flow_func in flow_funcs: |
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234 assert 4 == len(minimum_st_edge_cut(G, 1, 4, flow_func=flow_func)) |
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235 |
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236 |
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237 def test_missing_source(): |
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238 G = nx.path_graph(4) |
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239 for interface_func in [nx.minimum_edge_cut, nx.minimum_node_cut]: |
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240 for flow_func in flow_funcs: |
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241 pytest.raises( |
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242 nx.NetworkXError, interface_func, G, 10, 1, flow_func=flow_func |
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243 ) |
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244 |
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245 |
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246 def test_missing_target(): |
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247 G = nx.path_graph(4) |
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248 for interface_func in [nx.minimum_edge_cut, nx.minimum_node_cut]: |
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249 for flow_func in flow_funcs: |
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250 pytest.raises( |
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251 nx.NetworkXError, interface_func, G, 1, 10, flow_func=flow_func |
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252 ) |
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253 |
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254 |
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255 def test_not_weakly_connected(): |
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256 G = nx.DiGraph() |
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257 nx.add_path(G, [1, 2, 3]) |
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258 nx.add_path(G, [4, 5]) |
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259 for interface_func in [nx.minimum_edge_cut, nx.minimum_node_cut]: |
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260 for flow_func in flow_funcs: |
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261 pytest.raises(nx.NetworkXError, interface_func, G, flow_func=flow_func) |
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262 |
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263 |
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264 def test_not_connected(): |
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265 G = nx.Graph() |
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266 nx.add_path(G, [1, 2, 3]) |
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267 nx.add_path(G, [4, 5]) |
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268 for interface_func in [nx.minimum_edge_cut, nx.minimum_node_cut]: |
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269 for flow_func in flow_funcs: |
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270 pytest.raises(nx.NetworkXError, interface_func, G, flow_func=flow_func) |
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271 |
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272 |
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273 def tests_min_cut_complete(): |
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274 G = nx.complete_graph(5) |
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275 for interface_func in [nx.minimum_edge_cut, nx.minimum_node_cut]: |
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276 for flow_func in flow_funcs: |
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277 assert 4 == len(interface_func(G, flow_func=flow_func)) |
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278 |
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279 |
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280 def tests_min_cut_complete_directed(): |
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281 G = nx.complete_graph(5) |
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282 G = G.to_directed() |
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283 for interface_func in [nx.minimum_edge_cut, nx.minimum_node_cut]: |
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284 for flow_func in flow_funcs: |
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285 assert 4 == len(interface_func(G, flow_func=flow_func)) |
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286 |
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287 |
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288 def tests_minimum_st_node_cut(): |
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289 G = nx.Graph() |
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290 G.add_nodes_from([0, 1, 2, 3, 7, 8, 11, 12]) |
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291 G.add_edges_from([(7, 11), (1, 11), (1, 12), (12, 8), (0, 1)]) |
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292 nodelist = minimum_st_node_cut(G, 7, 11) |
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293 assert nodelist == {} |
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294 |
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295 |
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296 def test_invalid_auxiliary(): |
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297 G = nx.complete_graph(5) |
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298 pytest.raises(nx.NetworkXError, minimum_st_node_cut, G, 0, 3, auxiliary=G) |
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299 |
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300 |
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301 def test_interface_only_source(): |
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302 G = nx.complete_graph(5) |
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303 for interface_func in [nx.minimum_node_cut, nx.minimum_edge_cut]: |
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304 pytest.raises(nx.NetworkXError, interface_func, G, s=0) |
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305 |
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306 |
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307 def test_interface_only_target(): |
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308 G = nx.complete_graph(5) |
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309 for interface_func in [nx.minimum_node_cut, nx.minimum_edge_cut]: |
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310 pytest.raises(nx.NetworkXError, interface_func, G, t=3) |