Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/classes/multidigraph.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 """Base class for MultiDiGraph.""" |
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2 from copy import deepcopy |
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3 |
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4 import networkx as nx |
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5 from networkx.classes.digraph import DiGraph |
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6 from networkx.classes.multigraph import MultiGraph |
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7 from networkx.classes.coreviews import MultiAdjacencyView |
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8 from networkx.classes.reportviews import ( |
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9 OutMultiEdgeView, |
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10 InMultiEdgeView, |
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11 DiMultiDegreeView, |
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12 OutMultiDegreeView, |
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13 InMultiDegreeView, |
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14 ) |
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15 from networkx.exception import NetworkXError |
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16 |
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17 |
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18 class MultiDiGraph(MultiGraph, DiGraph): |
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19 """A directed graph class that can store multiedges. |
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20 |
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21 Multiedges are multiple edges between two nodes. Each edge |
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22 can hold optional data or attributes. |
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23 |
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24 A MultiDiGraph holds directed edges. Self loops are allowed. |
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25 |
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26 Nodes can be arbitrary (hashable) Python objects with optional |
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27 key/value attributes. By convention `None` is not used as a node. |
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28 |
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29 Edges are represented as links between nodes with optional |
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30 key/value attributes. |
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31 |
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32 Parameters |
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33 ---------- |
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34 incoming_graph_data : input graph (optional, default: None) |
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35 Data to initialize graph. If None (default) an empty |
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36 graph is created. The data can be any format that is supported |
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37 by the to_networkx_graph() function, currently including edge list, |
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38 dict of dicts, dict of lists, NetworkX graph, NumPy matrix |
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39 or 2d ndarray, SciPy sparse matrix, or PyGraphviz graph. |
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40 |
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41 attr : keyword arguments, optional (default= no attributes) |
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42 Attributes to add to graph as key=value pairs. |
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43 |
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44 See Also |
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45 -------- |
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46 Graph |
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47 DiGraph |
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48 MultiGraph |
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49 OrderedMultiDiGraph |
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50 |
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51 Examples |
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52 -------- |
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53 Create an empty graph structure (a "null graph") with no nodes and |
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54 no edges. |
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55 |
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56 >>> G = nx.MultiDiGraph() |
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57 |
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58 G can be grown in several ways. |
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59 |
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60 **Nodes:** |
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61 |
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62 Add one node at a time: |
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63 |
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64 >>> G.add_node(1) |
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65 |
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66 Add the nodes from any container (a list, dict, set or |
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67 even the lines from a file or the nodes from another graph). |
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68 |
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69 >>> G.add_nodes_from([2, 3]) |
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70 >>> G.add_nodes_from(range(100, 110)) |
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71 >>> H = nx.path_graph(10) |
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72 >>> G.add_nodes_from(H) |
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73 |
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74 In addition to strings and integers any hashable Python object |
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75 (except None) can represent a node, e.g. a customized node object, |
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76 or even another Graph. |
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77 |
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78 >>> G.add_node(H) |
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79 |
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80 **Edges:** |
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81 |
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82 G can also be grown by adding edges. |
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83 |
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84 Add one edge, |
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85 |
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86 >>> key = G.add_edge(1, 2) |
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87 |
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88 a list of edges, |
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89 |
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90 >>> keys = G.add_edges_from([(1, 2), (1, 3)]) |
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91 |
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92 or a collection of edges, |
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93 |
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94 >>> keys = G.add_edges_from(H.edges) |
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95 |
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96 If some edges connect nodes not yet in the graph, the nodes |
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97 are added automatically. If an edge already exists, an additional |
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98 edge is created and stored using a key to identify the edge. |
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99 By default the key is the lowest unused integer. |
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100 |
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101 >>> keys = G.add_edges_from([(4, 5, dict(route=282)), (4, 5, dict(route=37))]) |
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102 >>> G[4] |
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103 AdjacencyView({5: {0: {}, 1: {'route': 282}, 2: {'route': 37}}}) |
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104 |
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105 **Attributes:** |
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106 |
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107 Each graph, node, and edge can hold key/value attribute pairs |
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108 in an associated attribute dictionary (the keys must be hashable). |
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109 By default these are empty, but can be added or changed using |
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110 add_edge, add_node or direct manipulation of the attribute |
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111 dictionaries named graph, node and edge respectively. |
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112 |
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113 >>> G = nx.MultiDiGraph(day="Friday") |
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114 >>> G.graph |
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115 {'day': 'Friday'} |
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116 |
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117 Add node attributes using add_node(), add_nodes_from() or G.nodes |
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118 |
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119 >>> G.add_node(1, time="5pm") |
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120 >>> G.add_nodes_from([3], time="2pm") |
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121 >>> G.nodes[1] |
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122 {'time': '5pm'} |
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123 >>> G.nodes[1]["room"] = 714 |
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124 >>> del G.nodes[1]["room"] # remove attribute |
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125 >>> list(G.nodes(data=True)) |
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126 [(1, {'time': '5pm'}), (3, {'time': '2pm'})] |
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127 |
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128 Add edge attributes using add_edge(), add_edges_from(), subscript |
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129 notation, or G.edges. |
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130 |
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131 >>> key = G.add_edge(1, 2, weight=4.7) |
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132 >>> keys = G.add_edges_from([(3, 4), (4, 5)], color="red") |
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133 >>> keys = G.add_edges_from([(1, 2, {"color": "blue"}), (2, 3, {"weight": 8})]) |
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134 >>> G[1][2][0]["weight"] = 4.7 |
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135 >>> G.edges[1, 2, 0]["weight"] = 4 |
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136 |
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137 Warning: we protect the graph data structure by making `G.edges[1, 2]` a |
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138 read-only dict-like structure. However, you can assign to attributes |
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139 in e.g. `G.edges[1, 2]`. Thus, use 2 sets of brackets to add/change |
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140 data attributes: `G.edges[1, 2]['weight'] = 4` |
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141 (For multigraphs: `MG.edges[u, v, key][name] = value`). |
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142 |
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143 **Shortcuts:** |
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144 |
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145 Many common graph features allow python syntax to speed reporting. |
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146 |
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147 >>> 1 in G # check if node in graph |
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148 True |
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149 >>> [n for n in G if n < 3] # iterate through nodes |
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150 [1, 2] |
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151 >>> len(G) # number of nodes in graph |
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152 5 |
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153 >>> G[1] # adjacency dict-like view keyed by neighbor to edge attributes |
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154 AdjacencyView({2: {0: {'weight': 4}, 1: {'color': 'blue'}}}) |
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155 |
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156 Often the best way to traverse all edges of a graph is via the neighbors. |
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157 The neighbors are available as an adjacency-view `G.adj` object or via |
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158 the method `G.adjacency()`. |
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159 |
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160 >>> for n, nbrsdict in G.adjacency(): |
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161 ... for nbr, keydict in nbrsdict.items(): |
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162 ... for key, eattr in keydict.items(): |
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163 ... if "weight" in eattr: |
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164 ... # Do something useful with the edges |
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165 ... pass |
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166 |
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167 But the edges() method is often more convenient: |
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168 |
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169 >>> for u, v, keys, weight in G.edges(data="weight", keys=True): |
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170 ... if weight is not None: |
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171 ... # Do something useful with the edges |
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172 ... pass |
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173 |
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174 **Reporting:** |
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175 |
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176 Simple graph information is obtained using methods and object-attributes. |
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177 Reporting usually provides views instead of containers to reduce memory |
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178 usage. The views update as the graph is updated similarly to dict-views. |
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179 The objects `nodes, `edges` and `adj` provide access to data attributes |
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180 via lookup (e.g. `nodes[n], `edges[u, v]`, `adj[u][v]`) and iteration |
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181 (e.g. `nodes.items()`, `nodes.data('color')`, |
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182 `nodes.data('color', default='blue')` and similarly for `edges`) |
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183 Views exist for `nodes`, `edges`, `neighbors()`/`adj` and `degree`. |
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184 |
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185 For details on these and other miscellaneous methods, see below. |
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186 |
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187 **Subclasses (Advanced):** |
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188 |
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189 The MultiDiGraph class uses a dict-of-dict-of-dict-of-dict structure. |
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190 The outer dict (node_dict) holds adjacency information keyed by node. |
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191 The next dict (adjlist_dict) represents the adjacency information and holds |
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192 edge_key dicts keyed by neighbor. The edge_key dict holds each edge_attr |
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193 dict keyed by edge key. The inner dict (edge_attr_dict) represents |
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194 the edge data and holds edge attribute values keyed by attribute names. |
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195 |
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196 Each of these four dicts in the dict-of-dict-of-dict-of-dict |
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197 structure can be replaced by a user defined dict-like object. |
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198 In general, the dict-like features should be maintained but |
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199 extra features can be added. To replace one of the dicts create |
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200 a new graph class by changing the class(!) variable holding the |
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201 factory for that dict-like structure. The variable names are |
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202 node_dict_factory, node_attr_dict_factory, adjlist_inner_dict_factory, |
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203 adjlist_outer_dict_factory, edge_key_dict_factory, edge_attr_dict_factory |
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204 and graph_attr_dict_factory. |
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205 |
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206 node_dict_factory : function, (default: dict) |
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207 Factory function to be used to create the dict containing node |
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208 attributes, keyed by node id. |
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209 It should require no arguments and return a dict-like object |
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210 |
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211 node_attr_dict_factory: function, (default: dict) |
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212 Factory function to be used to create the node attribute |
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213 dict which holds attribute values keyed by attribute name. |
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214 It should require no arguments and return a dict-like object |
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215 |
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216 adjlist_outer_dict_factory : function, (default: dict) |
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217 Factory function to be used to create the outer-most dict |
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218 in the data structure that holds adjacency info keyed by node. |
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219 It should require no arguments and return a dict-like object. |
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220 |
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221 adjlist_inner_dict_factory : function, (default: dict) |
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222 Factory function to be used to create the adjacency list |
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223 dict which holds multiedge key dicts keyed by neighbor. |
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224 It should require no arguments and return a dict-like object. |
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225 |
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226 edge_key_dict_factory : function, (default: dict) |
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227 Factory function to be used to create the edge key dict |
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228 which holds edge data keyed by edge key. |
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229 It should require no arguments and return a dict-like object. |
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230 |
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231 edge_attr_dict_factory : function, (default: dict) |
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232 Factory function to be used to create the edge attribute |
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233 dict which holds attribute values keyed by attribute name. |
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234 It should require no arguments and return a dict-like object. |
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235 |
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236 graph_attr_dict_factory : function, (default: dict) |
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237 Factory function to be used to create the graph attribute |
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238 dict which holds attribute values keyed by attribute name. |
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239 It should require no arguments and return a dict-like object. |
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240 |
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241 Typically, if your extension doesn't impact the data structure all |
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242 methods will inherited without issue except: `to_directed/to_undirected`. |
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243 By default these methods create a DiGraph/Graph class and you probably |
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244 want them to create your extension of a DiGraph/Graph. To facilitate |
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245 this we define two class variables that you can set in your subclass. |
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246 |
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247 to_directed_class : callable, (default: DiGraph or MultiDiGraph) |
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248 Class to create a new graph structure in the `to_directed` method. |
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249 If `None`, a NetworkX class (DiGraph or MultiDiGraph) is used. |
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250 |
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251 to_undirected_class : callable, (default: Graph or MultiGraph) |
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252 Class to create a new graph structure in the `to_undirected` method. |
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253 If `None`, a NetworkX class (Graph or MultiGraph) is used. |
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254 |
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255 Examples |
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256 -------- |
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257 |
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258 Please see :mod:`~networkx.classes.ordered` for examples of |
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259 creating graph subclasses by overwriting the base class `dict` with |
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260 a dictionary-like object. |
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261 """ |
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262 |
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263 # node_dict_factory = dict # already assigned in Graph |
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264 # adjlist_outer_dict_factory = dict |
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265 # adjlist_inner_dict_factory = dict |
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266 edge_key_dict_factory = dict |
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267 # edge_attr_dict_factory = dict |
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268 |
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269 def __init__(self, incoming_graph_data=None, **attr): |
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270 """Initialize a graph with edges, name, or graph attributes. |
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271 |
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272 Parameters |
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273 ---------- |
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274 incoming_graph_data : input graph |
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275 Data to initialize graph. If incoming_graph_data=None (default) |
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276 an empty graph is created. The data can be an edge list, or any |
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277 NetworkX graph object. If the corresponding optional Python |
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278 packages are installed the data can also be a NumPy matrix |
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279 or 2d ndarray, a SciPy sparse matrix, or a PyGraphviz graph. |
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280 |
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281 attr : keyword arguments, optional (default= no attributes) |
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282 Attributes to add to graph as key=value pairs. |
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283 |
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284 See Also |
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285 -------- |
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286 convert |
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287 |
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288 Examples |
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289 -------- |
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290 >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc |
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291 >>> G = nx.Graph(name="my graph") |
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292 >>> e = [(1, 2), (2, 3), (3, 4)] # list of edges |
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293 >>> G = nx.Graph(e) |
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294 |
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295 Arbitrary graph attribute pairs (key=value) may be assigned |
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296 |
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297 >>> G = nx.Graph(e, day="Friday") |
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298 >>> G.graph |
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299 {'day': 'Friday'} |
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300 |
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301 """ |
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302 self.edge_key_dict_factory = self.edge_key_dict_factory |
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303 DiGraph.__init__(self, incoming_graph_data, **attr) |
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304 |
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305 @property |
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306 def adj(self): |
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307 """Graph adjacency object holding the neighbors of each node. |
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308 |
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309 This object is a read-only dict-like structure with node keys |
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310 and neighbor-dict values. The neighbor-dict is keyed by neighbor |
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311 to the edgekey-dict. So `G.adj[3][2][0]['color'] = 'blue'` sets |
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312 the color of the edge `(3, 2, 0)` to `"blue"`. |
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313 |
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314 Iterating over G.adj behaves like a dict. Useful idioms include |
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315 `for nbr, datadict in G.adj[n].items():`. |
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316 |
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317 The neighbor information is also provided by subscripting the graph. |
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318 So `for nbr, foovalue in G[node].data('foo', default=1):` works. |
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319 |
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320 For directed graphs, `G.adj` holds outgoing (successor) info. |
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321 """ |
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322 return MultiAdjacencyView(self._succ) |
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323 |
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324 @property |
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325 def succ(self): |
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326 """Graph adjacency object holding the successors of each node. |
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327 |
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328 This object is a read-only dict-like structure with node keys |
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329 and neighbor-dict values. The neighbor-dict is keyed by neighbor |
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330 to the edgekey-dict. So `G.adj[3][2][0]['color'] = 'blue'` sets |
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331 the color of the edge `(3, 2, 0)` to `"blue"`. |
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332 |
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333 Iterating over G.adj behaves like a dict. Useful idioms include |
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334 `for nbr, datadict in G.adj[n].items():`. |
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335 |
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336 The neighbor information is also provided by subscripting the graph. |
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337 So `for nbr, foovalue in G[node].data('foo', default=1):` works. |
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338 |
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339 For directed graphs, `G.succ` is identical to `G.adj`. |
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340 """ |
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341 return MultiAdjacencyView(self._succ) |
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342 |
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343 @property |
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344 def pred(self): |
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345 """Graph adjacency object holding the predecessors of each node. |
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346 |
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347 This object is a read-only dict-like structure with node keys |
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348 and neighbor-dict values. The neighbor-dict is keyed by neighbor |
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349 to the edgekey-dict. So `G.adj[3][2][0]['color'] = 'blue'` sets |
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350 the color of the edge `(3, 2, 0)` to `"blue"`. |
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351 |
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352 Iterating over G.adj behaves like a dict. Useful idioms include |
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353 `for nbr, datadict in G.adj[n].items():`. |
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354 """ |
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355 return MultiAdjacencyView(self._pred) |
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356 |
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357 def add_edge(self, u_for_edge, v_for_edge, key=None, **attr): |
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358 """Add an edge between u and v. |
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359 |
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360 The nodes u and v will be automatically added if they are |
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361 not already in the graph. |
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362 |
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363 Edge attributes can be specified with keywords or by directly |
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364 accessing the edge's attribute dictionary. See examples below. |
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365 |
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366 Parameters |
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367 ---------- |
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368 u_for_edge, v_for_edge : nodes |
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369 Nodes can be, for example, strings or numbers. |
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370 Nodes must be hashable (and not None) Python objects. |
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371 key : hashable identifier, optional (default=lowest unused integer) |
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372 Used to distinguish multiedges between a pair of nodes. |
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373 attr_dict : dictionary, optional (default= no attributes) |
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374 Dictionary of edge attributes. Key/value pairs will |
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375 update existing data associated with the edge. |
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376 attr : keyword arguments, optional |
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377 Edge data (or labels or objects) can be assigned using |
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378 keyword arguments. |
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379 |
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380 Returns |
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381 ------- |
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382 The edge key assigned to the edge. |
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383 |
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384 See Also |
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385 -------- |
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386 add_edges_from : add a collection of edges |
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387 |
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388 Notes |
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389 ----- |
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390 To replace/update edge data, use the optional key argument |
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391 to identify a unique edge. Otherwise a new edge will be created. |
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392 |
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393 NetworkX algorithms designed for weighted graphs cannot use |
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394 multigraphs directly because it is not clear how to handle |
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395 multiedge weights. Convert to Graph using edge attribute |
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396 'weight' to enable weighted graph algorithms. |
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397 |
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398 Default keys are generated using the method `new_edge_key()`. |
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399 This method can be overridden by subclassing the base class and |
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400 providing a custom `new_edge_key()` method. |
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401 |
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402 Examples |
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403 -------- |
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404 The following all add the edge e=(1, 2) to graph G: |
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405 |
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406 >>> G = nx.MultiDiGraph() |
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407 >>> e = (1, 2) |
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408 >>> key = G.add_edge(1, 2) # explicit two-node form |
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409 >>> G.add_edge(*e) # single edge as tuple of two nodes |
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410 1 |
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411 >>> G.add_edges_from([(1, 2)]) # add edges from iterable container |
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412 [2] |
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413 |
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414 Associate data to edges using keywords: |
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415 |
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416 >>> key = G.add_edge(1, 2, weight=3) |
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417 >>> key = G.add_edge(1, 2, key=0, weight=4) # update data for key=0 |
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418 >>> key = G.add_edge(1, 3, weight=7, capacity=15, length=342.7) |
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419 |
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420 For non-string attribute keys, use subscript notation. |
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421 |
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422 >>> ekey = G.add_edge(1, 2) |
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423 >>> G[1][2][0].update({0: 5}) |
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424 >>> G.edges[1, 2, 0].update({0: 5}) |
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425 """ |
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426 u, v = u_for_edge, v_for_edge |
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427 # add nodes |
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428 if u not in self._succ: |
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429 self._succ[u] = self.adjlist_inner_dict_factory() |
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430 self._pred[u] = self.adjlist_inner_dict_factory() |
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431 self._node[u] = self.node_attr_dict_factory() |
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432 if v not in self._succ: |
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433 self._succ[v] = self.adjlist_inner_dict_factory() |
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434 self._pred[v] = self.adjlist_inner_dict_factory() |
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435 self._node[v] = self.node_attr_dict_factory() |
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436 if key is None: |
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437 key = self.new_edge_key(u, v) |
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438 if v in self._succ[u]: |
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439 keydict = self._adj[u][v] |
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440 datadict = keydict.get(key, self.edge_key_dict_factory()) |
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441 datadict.update(attr) |
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442 keydict[key] = datadict |
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443 else: |
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444 # selfloops work this way without special treatment |
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445 datadict = self.edge_attr_dict_factory() |
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446 datadict.update(attr) |
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447 keydict = self.edge_key_dict_factory() |
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448 keydict[key] = datadict |
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449 self._succ[u][v] = keydict |
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450 self._pred[v][u] = keydict |
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451 return key |
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452 |
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453 def remove_edge(self, u, v, key=None): |
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454 """Remove an edge between u and v. |
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455 |
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456 Parameters |
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457 ---------- |
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458 u, v : nodes |
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459 Remove an edge between nodes u and v. |
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460 key : hashable identifier, optional (default=None) |
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461 Used to distinguish multiple edges between a pair of nodes. |
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462 If None remove a single (arbitrary) edge between u and v. |
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463 |
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464 Raises |
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465 ------ |
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466 NetworkXError |
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467 If there is not an edge between u and v, or |
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468 if there is no edge with the specified key. |
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469 |
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470 See Also |
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471 -------- |
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472 remove_edges_from : remove a collection of edges |
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473 |
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474 Examples |
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475 -------- |
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476 >>> G = nx.MultiDiGraph() |
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477 >>> nx.add_path(G, [0, 1, 2, 3]) |
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478 >>> G.remove_edge(0, 1) |
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479 >>> e = (1, 2) |
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480 >>> G.remove_edge(*e) # unpacks e from an edge tuple |
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481 |
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482 For multiple edges |
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483 |
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484 >>> G = nx.MultiDiGraph() |
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485 >>> G.add_edges_from([(1, 2), (1, 2), (1, 2)]) # key_list returned |
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486 [0, 1, 2] |
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487 >>> G.remove_edge(1, 2) # remove a single (arbitrary) edge |
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488 |
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489 For edges with keys |
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490 |
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491 >>> G = nx.MultiDiGraph() |
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492 >>> G.add_edge(1, 2, key="first") |
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493 'first' |
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494 >>> G.add_edge(1, 2, key="second") |
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495 'second' |
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496 >>> G.remove_edge(1, 2, key="second") |
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497 |
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498 """ |
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499 try: |
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500 d = self._adj[u][v] |
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501 except KeyError as e: |
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502 raise NetworkXError(f"The edge {u}-{v} is not in the graph.") from e |
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503 # remove the edge with specified data |
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504 if key is None: |
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505 d.popitem() |
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506 else: |
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507 try: |
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508 del d[key] |
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509 except KeyError as e: |
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510 msg = f"The edge {u}-{v} with key {key} is not in the graph." |
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511 raise NetworkXError(msg) from e |
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512 if len(d) == 0: |
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513 # remove the key entries if last edge |
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514 del self._succ[u][v] |
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515 del self._pred[v][u] |
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516 |
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517 @property |
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518 def edges(self): |
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519 """An OutMultiEdgeView of the Graph as G.edges or G.edges(). |
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520 |
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521 edges(self, nbunch=None, data=False, keys=False, default=None) |
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522 |
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523 The OutMultiEdgeView provides set-like operations on the edge-tuples |
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524 as well as edge attribute lookup. When called, it also provides |
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525 an EdgeDataView object which allows control of access to edge |
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526 attributes (but does not provide set-like operations). |
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527 Hence, `G.edges[u, v]['color']` provides the value of the color |
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528 attribute for edge `(u, v)` while |
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529 `for (u, v, c) in G.edges(data='color', default='red'):` |
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530 iterates through all the edges yielding the color attribute |
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531 with default `'red'` if no color attribute exists. |
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532 |
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533 Edges are returned as tuples with optional data and keys |
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534 in the order (node, neighbor, key, data). |
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535 |
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536 Parameters |
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537 ---------- |
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538 nbunch : single node, container, or all nodes (default= all nodes) |
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539 The view will only report edges incident to these nodes. |
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540 data : string or bool, optional (default=False) |
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541 The edge attribute returned in 3-tuple (u, v, ddict[data]). |
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542 If True, return edge attribute dict in 3-tuple (u, v, ddict). |
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543 If False, return 2-tuple (u, v). |
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544 keys : bool, optional (default=False) |
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545 If True, return edge keys with each edge. |
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546 default : value, optional (default=None) |
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547 Value used for edges that don't have the requested attribute. |
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548 Only relevant if data is not True or False. |
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549 |
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550 Returns |
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551 ------- |
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552 edges : EdgeView |
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553 A view of edge attributes, usually it iterates over (u, v) |
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554 (u, v, k) or (u, v, k, d) tuples of edges, but can also be |
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555 used for attribute lookup as `edges[u, v, k]['foo']`. |
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556 |
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557 Notes |
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558 ----- |
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559 Nodes in nbunch that are not in the graph will be (quietly) ignored. |
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560 For directed graphs this returns the out-edges. |
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561 |
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562 Examples |
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563 -------- |
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564 >>> G = nx.MultiDiGraph() |
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565 >>> nx.add_path(G, [0, 1, 2]) |
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566 >>> key = G.add_edge(2, 3, weight=5) |
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567 >>> [e for e in G.edges()] |
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568 [(0, 1), (1, 2), (2, 3)] |
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569 >>> list(G.edges(data=True)) # default data is {} (empty dict) |
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570 [(0, 1, {}), (1, 2, {}), (2, 3, {'weight': 5})] |
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571 >>> list(G.edges(data="weight", default=1)) |
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572 [(0, 1, 1), (1, 2, 1), (2, 3, 5)] |
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573 >>> list(G.edges(keys=True)) # default keys are integers |
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574 [(0, 1, 0), (1, 2, 0), (2, 3, 0)] |
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575 >>> list(G.edges(data=True, keys=True)) |
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576 [(0, 1, 0, {}), (1, 2, 0, {}), (2, 3, 0, {'weight': 5})] |
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577 >>> list(G.edges(data="weight", default=1, keys=True)) |
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578 [(0, 1, 0, 1), (1, 2, 0, 1), (2, 3, 0, 5)] |
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579 >>> list(G.edges([0, 2])) |
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580 [(0, 1), (2, 3)] |
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581 >>> list(G.edges(0)) |
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582 [(0, 1)] |
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583 |
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584 See Also |
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585 -------- |
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586 in_edges, out_edges |
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587 """ |
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588 return OutMultiEdgeView(self) |
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589 |
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590 # alias out_edges to edges |
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591 out_edges = edges |
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592 |
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593 @property |
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594 def in_edges(self): |
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595 """An InMultiEdgeView of the Graph as G.in_edges or G.in_edges(). |
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596 |
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597 in_edges(self, nbunch=None, data=False, keys=False, default=None) |
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598 |
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599 Parameters |
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600 ---------- |
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601 nbunch : single node, container, or all nodes (default= all nodes) |
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602 The view will only report edges incident to these nodes. |
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603 data : string or bool, optional (default=False) |
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604 The edge attribute returned in 3-tuple (u, v, ddict[data]). |
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605 If True, return edge attribute dict in 3-tuple (u, v, ddict). |
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606 If False, return 2-tuple (u, v). |
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607 keys : bool, optional (default=False) |
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608 If True, return edge keys with each edge. |
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609 default : value, optional (default=None) |
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610 Value used for edges that don't have the requested attribute. |
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611 Only relevant if data is not True or False. |
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612 |
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613 Returns |
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614 ------- |
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615 in_edges : InMultiEdgeView |
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616 A view of edge attributes, usually it iterates over (u, v) |
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617 or (u, v, k) or (u, v, k, d) tuples of edges, but can also be |
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618 used for attribute lookup as `edges[u, v, k]['foo']`. |
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619 |
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620 See Also |
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621 -------- |
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622 edges |
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623 """ |
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624 return InMultiEdgeView(self) |
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625 |
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626 @property |
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627 def degree(self): |
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628 """A DegreeView for the Graph as G.degree or G.degree(). |
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629 |
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630 The node degree is the number of edges adjacent to the node. |
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631 The weighted node degree is the sum of the edge weights for |
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632 edges incident to that node. |
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633 |
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634 This object provides an iterator for (node, degree) as well as |
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635 lookup for the degree for a single node. |
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636 |
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637 Parameters |
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638 ---------- |
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639 nbunch : single node, container, or all nodes (default= all nodes) |
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640 The view will only report edges incident to these nodes. |
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641 |
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642 weight : string or None, optional (default=None) |
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643 The name of an edge attribute that holds the numerical value used |
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644 as a weight. If None, then each edge has weight 1. |
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645 The degree is the sum of the edge weights adjacent to the node. |
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646 |
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647 Returns |
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648 ------- |
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649 If a single nodes is requested |
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650 deg : int |
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651 Degree of the node |
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652 |
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653 OR if multiple nodes are requested |
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654 nd_iter : iterator |
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655 The iterator returns two-tuples of (node, degree). |
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656 |
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657 See Also |
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658 -------- |
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659 out_degree, in_degree |
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660 |
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661 Examples |
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662 -------- |
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663 >>> G = nx.MultiDiGraph() |
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664 >>> nx.add_path(G, [0, 1, 2, 3]) |
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665 >>> G.degree(0) # node 0 with degree 1 |
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666 1 |
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667 >>> list(G.degree([0, 1, 2])) |
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668 [(0, 1), (1, 2), (2, 2)] |
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669 |
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670 """ |
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671 return DiMultiDegreeView(self) |
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672 |
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673 @property |
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674 def in_degree(self): |
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675 """A DegreeView for (node, in_degree) or in_degree for single node. |
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676 |
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677 The node in-degree is the number of edges pointing in to the node. |
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678 The weighted node degree is the sum of the edge weights for |
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679 edges incident to that node. |
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680 |
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681 This object provides an iterator for (node, degree) as well as |
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682 lookup for the degree for a single node. |
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683 |
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684 Parameters |
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685 ---------- |
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686 nbunch : single node, container, or all nodes (default= all nodes) |
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687 The view will only report edges incident to these nodes. |
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688 |
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689 weight : string or None, optional (default=None) |
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690 The edge attribute that holds the numerical value used |
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691 as a weight. If None, then each edge has weight 1. |
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692 The degree is the sum of the edge weights adjacent to the node. |
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693 |
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694 Returns |
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695 ------- |
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696 If a single node is requested |
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697 deg : int |
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698 Degree of the node |
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699 |
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700 OR if multiple nodes are requested |
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701 nd_iter : iterator |
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702 The iterator returns two-tuples of (node, in-degree). |
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703 |
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704 See Also |
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705 -------- |
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706 degree, out_degree |
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707 |
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708 Examples |
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709 -------- |
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710 >>> G = nx.MultiDiGraph() |
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711 >>> nx.add_path(G, [0, 1, 2, 3]) |
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712 >>> G.in_degree(0) # node 0 with degree 0 |
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713 0 |
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714 >>> list(G.in_degree([0, 1, 2])) |
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715 [(0, 0), (1, 1), (2, 1)] |
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716 |
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717 """ |
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718 return InMultiDegreeView(self) |
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719 |
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720 @property |
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721 def out_degree(self): |
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722 """Returns an iterator for (node, out-degree) or out-degree for single node. |
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723 |
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724 out_degree(self, nbunch=None, weight=None) |
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725 |
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726 The node out-degree is the number of edges pointing out of the node. |
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727 This function returns the out-degree for a single node or an iterator |
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728 for a bunch of nodes or if nothing is passed as argument. |
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729 |
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730 Parameters |
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731 ---------- |
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732 nbunch : single node, container, or all nodes (default= all nodes) |
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733 The view will only report edges incident to these nodes. |
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734 |
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735 weight : string or None, optional (default=None) |
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736 The edge attribute that holds the numerical value used |
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737 as a weight. If None, then each edge has weight 1. |
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738 The degree is the sum of the edge weights. |
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739 |
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740 Returns |
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741 ------- |
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742 If a single node is requested |
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743 deg : int |
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744 Degree of the node |
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745 |
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746 OR if multiple nodes are requested |
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747 nd_iter : iterator |
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748 The iterator returns two-tuples of (node, out-degree). |
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749 |
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750 See Also |
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751 -------- |
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752 degree, in_degree |
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753 |
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754 Examples |
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755 -------- |
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756 >>> G = nx.MultiDiGraph() |
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757 >>> nx.add_path(G, [0, 1, 2, 3]) |
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758 >>> G.out_degree(0) # node 0 with degree 1 |
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759 1 |
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760 >>> list(G.out_degree([0, 1, 2])) |
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761 [(0, 1), (1, 1), (2, 1)] |
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762 |
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763 """ |
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764 return OutMultiDegreeView(self) |
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765 |
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766 def is_multigraph(self): |
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767 """Returns True if graph is a multigraph, False otherwise.""" |
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768 return True |
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769 |
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770 def is_directed(self): |
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771 """Returns True if graph is directed, False otherwise.""" |
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772 return True |
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773 |
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774 def to_undirected(self, reciprocal=False, as_view=False): |
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775 """Returns an undirected representation of the digraph. |
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776 |
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777 Parameters |
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778 ---------- |
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779 reciprocal : bool (optional) |
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780 If True only keep edges that appear in both directions |
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781 in the original digraph. |
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782 as_view : bool (optional, default=False) |
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783 If True return an undirected view of the original directed graph. |
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784 |
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785 Returns |
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786 ------- |
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787 G : MultiGraph |
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788 An undirected graph with the same name and nodes and |
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789 with edge (u, v, data) if either (u, v, data) or (v, u, data) |
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790 is in the digraph. If both edges exist in digraph and |
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791 their edge data is different, only one edge is created |
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792 with an arbitrary choice of which edge data to use. |
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793 You must check and correct for this manually if desired. |
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794 |
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795 See Also |
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796 -------- |
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797 MultiGraph, copy, add_edge, add_edges_from |
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798 |
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799 Notes |
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800 ----- |
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801 This returns a "deepcopy" of the edge, node, and |
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802 graph attributes which attempts to completely copy |
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803 all of the data and references. |
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804 |
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805 This is in contrast to the similar D=MultiiGraph(G) which |
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806 returns a shallow copy of the data. |
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807 |
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808 See the Python copy module for more information on shallow |
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809 and deep copies, https://docs.python.org/3/library/copy.html. |
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810 |
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811 Warning: If you have subclassed MultiDiGraph to use dict-like |
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812 objects in the data structure, those changes do not transfer |
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813 to the MultiGraph created by this method. |
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814 |
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815 Examples |
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816 -------- |
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817 >>> G = nx.path_graph(2) # or MultiGraph, etc |
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818 >>> H = G.to_directed() |
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819 >>> list(H.edges) |
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820 [(0, 1), (1, 0)] |
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821 >>> G2 = H.to_undirected() |
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822 >>> list(G2.edges) |
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823 [(0, 1)] |
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824 """ |
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825 graph_class = self.to_undirected_class() |
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826 if as_view is True: |
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827 return nx.graphviews.generic_graph_view(self, graph_class) |
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828 # deepcopy when not a view |
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829 G = graph_class() |
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830 G.graph.update(deepcopy(self.graph)) |
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831 G.add_nodes_from((n, deepcopy(d)) for n, d in self._node.items()) |
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832 if reciprocal is True: |
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833 G.add_edges_from( |
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834 (u, v, key, deepcopy(data)) |
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835 for u, nbrs in self._adj.items() |
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836 for v, keydict in nbrs.items() |
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837 for key, data in keydict.items() |
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838 if v in self._pred[u] and key in self._pred[u][v] |
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839 ) |
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840 else: |
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841 G.add_edges_from( |
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842 (u, v, key, deepcopy(data)) |
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843 for u, nbrs in self._adj.items() |
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844 for v, keydict in nbrs.items() |
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845 for key, data in keydict.items() |
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846 ) |
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847 return G |
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848 |
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849 def reverse(self, copy=True): |
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850 """Returns the reverse of the graph. |
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851 |
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852 The reverse is a graph with the same nodes and edges |
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853 but with the directions of the edges reversed. |
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854 |
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855 Parameters |
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856 ---------- |
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857 copy : bool optional (default=True) |
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858 If True, return a new DiGraph holding the reversed edges. |
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859 If False, the reverse graph is created using a view of |
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860 the original graph. |
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861 """ |
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862 if copy: |
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863 H = self.__class__() |
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864 H.graph.update(deepcopy(self.graph)) |
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865 H.add_nodes_from((n, deepcopy(d)) for n, d in self._node.items()) |
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866 H.add_edges_from( |
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867 (v, u, k, deepcopy(d)) |
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868 for u, v, k, d in self.edges(keys=True, data=True) |
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869 ) |
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870 return H |
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871 return nx.graphviews.reverse_view(self) |