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annotate planemo/lib/python3.7/site-packages/networkx/algorithms/vitality.py @ 1:56ad4e20f292 draft

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"planemo upload commit 6eee67778febed82ddd413c3ca40b3183a3898f1"
author guerler
date Fri, 31 Jul 2020 00:32:28 -0400
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1 # Copyright (C) 2010 by
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2 # Aric Hagberg (hagberg@lanl.gov)
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3 # Renato Fabbri
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4 # Copyright (C) 2012 by
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5 # Aric Hagberg <hagberg@lanl.gov>
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6 # Dan Schult <dschult@colgate.edu>
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7 # Pieter Swart <swart@lanl.gov>
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8 # Copyright (C) 2016-2019 by NetworkX developers.
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9 #
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10 # All rights reserved.
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11 # BSD license.
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12 """
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13 Vitality measures.
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14 """
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15 from functools import partial
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16
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17 import networkx as nx
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18
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19 __all__ = ['closeness_vitality']
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20
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21
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22 def closeness_vitality(G, node=None, weight=None, wiener_index=None):
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23 """Returns the closeness vitality for nodes in the graph.
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24
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25 The *closeness vitality* of a node, defined in Section 3.6.2 of [1],
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26 is the change in the sum of distances between all node pairs when
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27 excluding that node.
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28
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29 Parameters
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30 ----------
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31 G : NetworkX graph
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32 A strongly-connected graph.
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33
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34 weight : string
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35 The name of the edge attribute used as weight. This is passed
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36 directly to the :func:`~networkx.wiener_index` function.
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37
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38 node : object
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39 If specified, only the closeness vitality for this node will be
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40 returned. Otherwise, a dictionary mapping each node to its
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41 closeness vitality will be returned.
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42
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43 Other parameters
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44 ----------------
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45 wiener_index : number
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46 If you have already computed the Wiener index of the graph
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47 `G`, you can provide that value here. Otherwise, it will be
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48 computed for you.
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49
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50 Returns
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51 -------
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52 dictionary or float
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53 If `node` is None, this function returns a dictionary
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54 with nodes as keys and closeness vitality as the
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55 value. Otherwise, it returns only the closeness vitality for the
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56 specified `node`.
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57
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58 The closeness vitality of a node may be negative infinity if
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59 removing that node would disconnect the graph.
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60
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61 Examples
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62 --------
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63 >>> G = nx.cycle_graph(3)
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64 >>> nx.closeness_vitality(G)
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65 {0: 2.0, 1: 2.0, 2: 2.0}
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66
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67 See Also
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68 --------
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69 closeness_centrality
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70
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71 References
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72 ----------
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73 .. [1] Ulrik Brandes, Thomas Erlebach (eds.).
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74 *Network Analysis: Methodological Foundations*.
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75 Springer, 2005.
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76 <http://books.google.com/books?id=TTNhSm7HYrIC>
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77
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78 """
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79 if wiener_index is None:
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80 wiener_index = nx.wiener_index(G, weight=weight)
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81 if node is not None:
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82 after = nx.wiener_index(G.subgraph(set(G) - {node}), weight=weight)
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83 return wiener_index - after
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84 vitality = partial(closeness_vitality, G, weight=weight,
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85 wiener_index=wiener_index)
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86 # TODO This can be trivially parallelized.
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87 return {v: vitality(node=v) for v in G}