Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/components/attracting.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 """Attracting components.""" |
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2 import networkx as nx |
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3 from networkx.utils.decorators import not_implemented_for |
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4 |
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5 __all__ = [ |
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6 "number_attracting_components", |
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7 "attracting_components", |
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8 "is_attracting_component", |
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9 ] |
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10 |
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11 |
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12 @not_implemented_for("undirected") |
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13 def attracting_components(G): |
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14 """Generates the attracting components in `G`. |
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15 |
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16 An attracting component in a directed graph `G` is a strongly connected |
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17 component with the property that a random walker on the graph will never |
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18 leave the component, once it enters the component. |
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19 |
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20 The nodes in attracting components can also be thought of as recurrent |
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21 nodes. If a random walker enters the attractor containing the node, then |
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22 the node will be visited infinitely often. |
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23 |
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24 To obtain induced subgraphs on each component use: |
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25 ``(G.subgraph(c).copy() for c in attracting_components(G))`` |
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26 |
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27 Parameters |
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28 ---------- |
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29 G : DiGraph, MultiDiGraph |
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30 The graph to be analyzed. |
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31 |
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32 Returns |
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33 ------- |
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34 attractors : generator of sets |
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35 A generator of sets of nodes, one for each attracting component of G. |
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36 |
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37 Raises |
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38 ------ |
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39 NetworkXNotImplemented |
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40 If the input graph is undirected. |
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41 |
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42 See Also |
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43 -------- |
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44 number_attracting_components |
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45 is_attracting_component |
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46 |
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47 """ |
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48 scc = list(nx.strongly_connected_components(G)) |
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49 cG = nx.condensation(G, scc) |
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50 for n in cG: |
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51 if cG.out_degree(n) == 0: |
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52 yield scc[n] |
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53 |
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54 |
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55 @not_implemented_for("undirected") |
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56 def number_attracting_components(G): |
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57 """Returns the number of attracting components in `G`. |
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58 |
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59 Parameters |
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60 ---------- |
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61 G : DiGraph, MultiDiGraph |
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62 The graph to be analyzed. |
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63 |
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64 Returns |
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65 ------- |
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66 n : int |
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67 The number of attracting components in G. |
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68 |
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69 Raises |
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70 ------ |
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71 NetworkXNotImplemented |
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72 If the input graph is undirected. |
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73 |
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74 See Also |
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75 -------- |
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76 attracting_components |
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77 is_attracting_component |
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78 |
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79 """ |
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80 return sum(1 for ac in attracting_components(G)) |
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81 |
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82 |
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83 @not_implemented_for("undirected") |
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84 def is_attracting_component(G): |
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85 """Returns True if `G` consists of a single attracting component. |
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86 |
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87 Parameters |
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88 ---------- |
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89 G : DiGraph, MultiDiGraph |
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90 The graph to be analyzed. |
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91 |
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92 Returns |
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93 ------- |
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94 attracting : bool |
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95 True if `G` has a single attracting component. Otherwise, False. |
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96 |
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97 Raises |
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98 ------ |
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99 NetworkXNotImplemented |
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100 If the input graph is undirected. |
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101 |
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102 See Also |
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103 -------- |
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104 attracting_components |
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105 number_attracting_components |
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106 |
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107 """ |
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108 ac = list(attracting_components(G)) |
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109 if len(ac) == 1: |
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110 return len(ac[0]) == len(G) |
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111 return False |