Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/generators/tests/test_harary_graph.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 """Unit tests for the :mod:`networkx.generators.harary_graph` module. |
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2 """ |
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3 |
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4 import pytest |
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5 |
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6 import networkx as nx |
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7 from networkx.generators.harary_graph import hnm_harary_graph |
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8 from networkx.generators.harary_graph import hkn_harary_graph |
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9 from networkx.algorithms.isomorphism.isomorph import is_isomorphic |
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10 |
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11 |
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12 class TestHararyGraph: |
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13 """ |
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14 Suppose n nodes, m >= n-1 edges, d = 2m // n, r = 2m % n |
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15 """ |
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16 |
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17 def test_hnm_harary_graph(self): |
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18 # When d is even and r = 0, the hnm_harary_graph(n,m) is |
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19 # the circulant_graph(n, list(range(1,d/2+1))) |
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20 for (n, m) in [(5, 5), (6, 12), (7, 14)]: |
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21 G1 = hnm_harary_graph(n, m) |
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22 d = 2 * m // n |
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23 G2 = nx.circulant_graph(n, list(range(1, d // 2 + 1))) |
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24 assert is_isomorphic(G1, G2) |
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25 |
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26 # When d is even and r > 0, the hnm_harary_graph(n,m) is |
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27 # the circulant_graph(n, list(range(1,d/2+1))) |
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28 # with r edges added arbitrarily |
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29 for (n, m) in [(5, 7), (6, 13), (7, 16)]: |
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30 G1 = hnm_harary_graph(n, m) |
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31 d = 2 * m // n |
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32 G2 = nx.circulant_graph(n, list(range(1, d // 2 + 1))) |
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33 assert set(G2.edges) < set(G1.edges) |
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34 assert G1.number_of_edges() == m |
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35 |
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36 # When d is odd and n is even and r = 0, the hnm_harary_graph(n,m) |
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37 # is the circulant_graph(n, list(range(1,(d+1)/2) plus [n//2]) |
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38 for (n, m) in [(6, 9), (8, 12), (10, 15)]: |
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39 G1 = hnm_harary_graph(n, m) |
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40 d = 2 * m // n |
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41 L = list(range(1, (d + 1) // 2)) |
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42 L.append(n // 2) |
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43 G2 = nx.circulant_graph(n, L) |
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44 assert is_isomorphic(G1, G2) |
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45 |
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46 # When d is odd and n is even and r > 0, the hnm_harary_graph(n,m) |
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47 # is the circulant_graph(n, list(range(1,(d+1)/2) plus [n//2]) |
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48 # with r edges added arbitrarily |
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49 for (n, m) in [(6, 10), (8, 13), (10, 17)]: |
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50 G1 = hnm_harary_graph(n, m) |
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51 d = 2 * m // n |
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52 L = list(range(1, (d + 1) // 2)) |
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53 L.append(n // 2) |
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54 G2 = nx.circulant_graph(n, L) |
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55 assert set(G2.edges) < set(G1.edges) |
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56 assert G1.number_of_edges() == m |
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57 |
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58 # When d is odd and n is odd, the hnm_harary_graph(n,m) is |
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59 # the circulant_graph(n, list(range(1,(d+1)/2)) |
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60 # with m - n*(d-1)/2 edges added arbitrarily |
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61 for (n, m) in [(5, 4), (7, 12), (9, 14)]: |
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62 G1 = hnm_harary_graph(n, m) |
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63 d = 2 * m // n |
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64 L = list(range(1, (d + 1) // 2)) |
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65 G2 = nx.circulant_graph(n, L) |
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66 assert set(G2.edges) < set(G1.edges) |
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67 assert G1.number_of_edges() == m |
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68 |
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69 # Raise NetworkXError if n<1 |
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70 n = 0 |
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71 m = 0 |
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72 pytest.raises(nx.NetworkXError, hnm_harary_graph, n, m) |
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73 |
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74 # Raise NetworkXError if m < n-1 |
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75 n = 6 |
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76 m = 4 |
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77 pytest.raises(nx.NetworkXError, hnm_harary_graph, n, m) |
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78 |
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79 # Raise NetworkXError if m > n(n-1)/2 |
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80 n = 6 |
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81 m = 16 |
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82 pytest.raises(nx.NetworkXError, hnm_harary_graph, n, m) |
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83 |
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84 """ |
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85 Suppose connectivity k, number of nodes n |
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86 """ |
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87 |
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88 def test_hkn_harary_graph(self): |
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89 # When k == 1, the hkn_harary_graph(k,n) is |
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90 # the path_graph(n) |
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91 for (k, n) in [(1, 6), (1, 7)]: |
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92 G1 = hkn_harary_graph(k, n) |
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93 G2 = nx.path_graph(n) |
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94 assert is_isomorphic(G1, G2) |
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95 |
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96 # When k is even, the hkn_harary_graph(k,n) is |
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97 # the circulant_graph(n, list(range(1,k/2+1))) |
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98 for (k, n) in [(2, 6), (2, 7), (4, 6), (4, 7)]: |
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99 G1 = hkn_harary_graph(k, n) |
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100 G2 = nx.circulant_graph(n, list(range(1, k // 2 + 1))) |
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101 assert is_isomorphic(G1, G2) |
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102 |
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103 # When k is odd and n is even, the hkn_harary_graph(k,n) is |
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104 # the circulant_graph(n, list(range(1,(k+1)/2)) plus [n/2]) |
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105 for (k, n) in [(3, 6), (5, 8), (7, 10)]: |
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106 G1 = hkn_harary_graph(k, n) |
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107 L = list(range(1, (k + 1) // 2)) |
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108 L.append(n // 2) |
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109 G2 = nx.circulant_graph(n, L) |
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110 assert is_isomorphic(G1, G2) |
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111 |
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112 # When k is odd and n is odd, the hkn_harary_graph(k,n) is |
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113 # the circulant_graph(n, list(range(1,(k+1)/2))) with |
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114 # n//2+1 edges added between node i and node i+n//2+1 |
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115 for (k, n) in [(3, 5), (5, 9), (7, 11)]: |
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116 G1 = hkn_harary_graph(k, n) |
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117 G2 = nx.circulant_graph(n, list(range(1, (k + 1) // 2))) |
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118 eSet1 = set(G1.edges) |
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119 eSet2 = set(G2.edges) |
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120 eSet3 = set() |
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121 half = n // 2 |
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122 for i in range(0, half + 1): |
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123 # add half+1 edges between i and i+half |
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124 eSet3.add((i, (i + half) % n)) |
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125 assert eSet1 == eSet2 | eSet3 |
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126 |
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127 # Raise NetworkXError if k<1 |
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128 k = 0 |
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129 n = 0 |
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130 pytest.raises(nx.NetworkXError, hkn_harary_graph, k, n) |
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131 |
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132 # Raise NetworkXError if n<k+1 |
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133 k = 6 |
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134 n = 6 |
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135 pytest.raises(nx.NetworkXError, hkn_harary_graph, k, n) |