Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/relabel.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 |
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3 __all__ = ["convert_node_labels_to_integers", "relabel_nodes"] |
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4 |
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5 |
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6 def relabel_nodes(G, mapping, copy=True): |
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7 """Relabel the nodes of the graph G. |
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8 |
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9 Parameters |
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10 ---------- |
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11 G : graph |
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12 A NetworkX graph |
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13 |
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14 mapping : dictionary |
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15 A dictionary with the old labels as keys and new labels as values. |
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16 A partial mapping is allowed. Mapping 2 nodes to a single node is allowed. |
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17 |
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18 copy : bool (optional, default=True) |
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19 If True return a copy, or if False relabel the nodes in place. |
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20 |
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21 Examples |
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22 -------- |
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23 To create a new graph with nodes relabeled according to a given |
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24 dictionary: |
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25 |
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26 >>> G = nx.path_graph(3) |
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27 >>> sorted(G) |
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28 [0, 1, 2] |
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29 >>> mapping = {0: "a", 1: "b", 2: "c"} |
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30 >>> H = nx.relabel_nodes(G, mapping) |
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31 >>> sorted(H) |
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32 ['a', 'b', 'c'] |
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33 |
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34 Nodes can be relabeled with any hashable object, including numbers |
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35 and strings: |
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36 |
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37 >>> import string |
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38 >>> G = nx.path_graph(26) # nodes are integers 0 through 25 |
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39 >>> sorted(G)[:3] |
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40 [0, 1, 2] |
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41 >>> mapping = dict(zip(G, string.ascii_lowercase)) |
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42 >>> G = nx.relabel_nodes(G, mapping) # nodes are characters a through z |
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43 >>> sorted(G)[:3] |
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44 ['a', 'b', 'c'] |
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45 >>> mapping = dict(zip(G, range(1, 27))) |
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46 >>> G = nx.relabel_nodes(G, mapping) # nodes are integers 1 through 26 |
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47 >>> sorted(G)[:3] |
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48 [1, 2, 3] |
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49 |
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50 To perform a partial in-place relabeling, provide a dictionary |
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51 mapping only a subset of the nodes, and set the `copy` keyword |
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52 argument to False: |
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53 |
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54 >>> G = nx.path_graph(3) # nodes 0-1-2 |
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55 >>> mapping = {0: "a", 1: "b"} # 0->'a' and 1->'b' |
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56 >>> G = nx.relabel_nodes(G, mapping, copy=False) |
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57 >>> sorted(G, key=str) |
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58 [2, 'a', 'b'] |
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59 |
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60 A mapping can also be given as a function: |
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61 |
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62 >>> G = nx.path_graph(3) |
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63 >>> H = nx.relabel_nodes(G, lambda x: x ** 2) |
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64 >>> list(H) |
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65 [0, 1, 4] |
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66 |
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67 In a multigraph, relabeling two or more nodes to the same new node |
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68 will retain all edges, but may change the edge keys in the process: |
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69 |
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70 >>> G = nx.MultiGraph() |
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71 >>> G.add_edge(0, 1, value="a") # returns the key for this edge |
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72 0 |
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73 >>> G.add_edge(0, 2, value="b") |
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74 0 |
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75 >>> G.add_edge(0, 3, value="c") |
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76 0 |
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77 >>> mapping = {1: 4, 2: 4, 3: 4} |
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78 >>> H = nx.relabel_nodes(G, mapping, copy=True) |
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79 >>> print(H[0]) |
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80 {4: {0: {'value': 'a'}, 1: {'value': 'b'}, 2: {'value': 'c'}}} |
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81 |
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82 This works for in-place relabeling too: |
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83 |
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84 >>> G = nx.relabel_nodes(G, mapping, copy=False) |
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85 >>> print(G[0]) |
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86 {4: {0: {'value': 'a'}, 1: {'value': 'b'}, 2: {'value': 'c'}}} |
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87 |
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88 Notes |
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89 ----- |
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90 Only the nodes specified in the mapping will be relabeled. |
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91 |
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92 The keyword setting copy=False modifies the graph in place. |
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93 Relabel_nodes avoids naming collisions by building a |
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94 directed graph from ``mapping`` which specifies the order of |
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95 relabelings. Naming collisions, such as a->b, b->c, are ordered |
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96 such that "b" gets renamed to "c" before "a" gets renamed "b". |
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97 In cases of circular mappings (e.g. a->b, b->a), modifying the |
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98 graph is not possible in-place and an exception is raised. |
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99 In that case, use copy=True. |
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100 |
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101 If a relabel operation on a multigraph would cause two or more |
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102 edges to have the same source, target and key, the second edge must |
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103 be assigned a new key to retain all edges. The new key is set |
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104 to the lowest non-negative integer not already used as a key |
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105 for edges between these two nodes. Note that this means non-numeric |
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106 keys may be replaced by numeric keys. |
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107 |
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108 See Also |
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109 -------- |
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110 convert_node_labels_to_integers |
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111 """ |
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112 # you can pass a function f(old_label)->new_label |
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113 # but we'll just make a dictionary here regardless |
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114 if not hasattr(mapping, "__getitem__"): |
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115 m = {n: mapping(n) for n in G} |
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116 else: |
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117 m = mapping |
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118 if copy: |
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119 return _relabel_copy(G, m) |
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120 else: |
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121 return _relabel_inplace(G, m) |
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122 |
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123 |
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124 def _relabel_inplace(G, mapping): |
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125 old_labels = set(mapping.keys()) |
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126 new_labels = set(mapping.values()) |
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127 if len(old_labels & new_labels) > 0: |
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128 # labels sets overlap |
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129 # can we topological sort and still do the relabeling? |
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130 D = nx.DiGraph(list(mapping.items())) |
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131 D.remove_edges_from(nx.selfloop_edges(D)) |
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132 try: |
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133 nodes = reversed(list(nx.topological_sort(D))) |
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134 except nx.NetworkXUnfeasible as e: |
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135 raise nx.NetworkXUnfeasible( |
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136 "The node label sets are overlapping and no ordering can " |
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137 "resolve the mapping. Use copy=True." |
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138 ) from e |
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139 else: |
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140 # non-overlapping label sets |
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141 nodes = old_labels |
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142 |
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143 multigraph = G.is_multigraph() |
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144 directed = G.is_directed() |
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145 |
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146 for old in nodes: |
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147 try: |
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148 new = mapping[old] |
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149 except KeyError: |
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150 continue |
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151 if new == old: |
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152 continue |
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153 try: |
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154 G.add_node(new, **G.nodes[old]) |
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155 except KeyError as e: |
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156 raise KeyError(f"Node {old} is not in the graph") from e |
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157 if multigraph: |
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158 new_edges = [ |
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159 (new, new if old == target else target, key, data) |
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160 for (_, target, key, data) in G.edges(old, data=True, keys=True) |
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161 ] |
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162 if directed: |
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163 new_edges += [ |
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164 (new if old == source else source, new, key, data) |
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165 for (source, _, key, data) in G.in_edges(old, data=True, keys=True) |
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166 ] |
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167 # Ensure new edges won't overwrite existing ones |
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168 seen = set() |
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169 for i, (source, target, key, data) in enumerate(new_edges): |
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170 if target in G[source] and key in G[source][target]: |
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171 new_key = 0 if not isinstance(key, (int, float)) else key |
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172 while new_key in G[source][target] or (target, new_key) in seen: |
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173 new_key += 1 |
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174 new_edges[i] = (source, target, new_key, data) |
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175 seen.add((target, new_key)) |
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176 else: |
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177 new_edges = [ |
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178 (new, new if old == target else target, data) |
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179 for (_, target, data) in G.edges(old, data=True) |
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180 ] |
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181 if directed: |
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182 new_edges += [ |
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183 (new if old == source else source, new, data) |
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184 for (source, _, data) in G.in_edges(old, data=True) |
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185 ] |
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186 G.remove_node(old) |
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187 G.add_edges_from(new_edges) |
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188 return G |
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189 |
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190 |
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191 def _relabel_copy(G, mapping): |
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192 H = G.__class__() |
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193 H.add_nodes_from(mapping.get(n, n) for n in G) |
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194 H._node.update((mapping.get(n, n), d.copy()) for n, d in G.nodes.items()) |
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195 if G.is_multigraph(): |
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196 new_edges = [ |
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197 (mapping.get(n1, n1), mapping.get(n2, n2), k, d.copy()) |
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198 for (n1, n2, k, d) in G.edges(keys=True, data=True) |
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199 ] |
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200 |
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201 # check for conflicting edge-keys |
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202 undirected = not G.is_directed() |
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203 seen_edges = set() |
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204 for i, (source, target, key, data) in enumerate(new_edges): |
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205 while (source, target, key) in seen_edges: |
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206 if not isinstance(key, (int, float)): |
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207 key = 0 |
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208 key += 1 |
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209 seen_edges.add((source, target, key)) |
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210 if undirected: |
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211 seen_edges.add((target, source, key)) |
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212 new_edges[i] = (source, target, key, data) |
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213 |
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214 H.add_edges_from(new_edges) |
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215 else: |
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216 H.add_edges_from( |
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217 (mapping.get(n1, n1), mapping.get(n2, n2), d.copy()) |
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218 for (n1, n2, d) in G.edges(data=True) |
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219 ) |
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220 H.graph.update(G.graph) |
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221 return H |
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222 |
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223 |
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224 def convert_node_labels_to_integers( |
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225 G, first_label=0, ordering="default", label_attribute=None |
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226 ): |
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227 """Returns a copy of the graph G with the nodes relabeled using |
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228 consecutive integers. |
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229 |
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230 Parameters |
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231 ---------- |
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232 G : graph |
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233 A NetworkX graph |
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234 |
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235 first_label : int, optional (default=0) |
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236 An integer specifying the starting offset in numbering nodes. |
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237 The new integer labels are numbered first_label, ..., n-1+first_label. |
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238 |
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239 ordering : string |
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240 "default" : inherit node ordering from G.nodes() |
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241 "sorted" : inherit node ordering from sorted(G.nodes()) |
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242 "increasing degree" : nodes are sorted by increasing degree |
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243 "decreasing degree" : nodes are sorted by decreasing degree |
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244 |
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245 label_attribute : string, optional (default=None) |
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246 Name of node attribute to store old label. If None no attribute |
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247 is created. |
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248 |
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249 Notes |
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250 ----- |
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251 Node and edge attribute data are copied to the new (relabeled) graph. |
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252 |
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253 There is no guarantee that the relabeling of nodes to integers will |
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254 give the same two integers for two (even identical graphs). |
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255 Use the `ordering` argument to try to preserve the order. |
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256 |
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257 See Also |
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258 -------- |
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259 relabel_nodes |
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260 """ |
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261 N = G.number_of_nodes() + first_label |
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262 if ordering == "default": |
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263 mapping = dict(zip(G.nodes(), range(first_label, N))) |
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264 elif ordering == "sorted": |
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265 nlist = sorted(G.nodes()) |
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266 mapping = dict(zip(nlist, range(first_label, N))) |
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267 elif ordering == "increasing degree": |
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268 dv_pairs = [(d, n) for (n, d) in G.degree()] |
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269 dv_pairs.sort() # in-place sort from lowest to highest degree |
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270 mapping = dict(zip([n for d, n in dv_pairs], range(first_label, N))) |
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271 elif ordering == "decreasing degree": |
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272 dv_pairs = [(d, n) for (n, d) in G.degree()] |
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273 dv_pairs.sort() # in-place sort from lowest to highest degree |
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274 dv_pairs.reverse() |
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275 mapping = dict(zip([n for d, n in dv_pairs], range(first_label, N))) |
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276 else: |
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277 raise nx.NetworkXError(f"Unknown node ordering: {ordering}") |
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278 H = relabel_nodes(G, mapping) |
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279 # create node attribute with the old label |
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280 if label_attribute is not None: |
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281 nx.set_node_attributes(H, {v: k for k, v in mapping.items()}, label_attribute) |
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282 return H |