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annotate planemo/lib/python3.7/site-packages/networkx/generators/stochastic.py @ 1:56ad4e20f292 draft
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author | guerler |
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date | Fri, 31 Jul 2020 00:32:28 -0400 |
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1 # Copyright (C) 2010-2013 by |
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2 # Aric Hagberg <hagberg@lanl.gov> |
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3 # Dan Schult <dschult@colgate.edu> |
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4 # Pieter Swart <swart@lanl.gov> |
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5 # All rights reserved. |
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6 # BSD license. |
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7 """Functions for generating stochastic graphs from a given weighted directed |
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8 graph. |
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9 |
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10 """ |
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11 |
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12 from networkx.classes import DiGraph |
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13 from networkx.classes import MultiDiGraph |
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14 from networkx.utils import not_implemented_for |
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15 |
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16 __author__ = "Aric Hagberg <aric.hagberg@gmail.com>" |
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17 __all__ = ['stochastic_graph'] |
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18 |
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19 |
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20 @not_implemented_for('undirected') |
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21 def stochastic_graph(G, copy=True, weight='weight'): |
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22 """Returns a right-stochastic representation of directed graph `G`. |
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23 |
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24 A right-stochastic graph is a weighted digraph in which for each |
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25 node, the sum of the weights of all the out-edges of that node is |
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26 1. If the graph is already weighted (for example, via a 'weight' |
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27 edge attribute), the reweighting takes that into account. |
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28 |
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29 Parameters |
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30 ---------- |
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31 G : directed graph |
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32 A :class:`~networkx.DiGraph` or :class:`~networkx.MultiDiGraph`. |
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33 |
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34 copy : boolean, optional |
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35 If this is True, then this function returns a new graph with |
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36 the stochastic reweighting. Otherwise, the original graph is |
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37 modified in-place (and also returned, for convenience). |
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38 |
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39 weight : edge attribute key (optional, default='weight') |
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40 Edge attribute key used for reading the existing weight and |
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41 setting the new weight. If no attribute with this key is found |
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42 for an edge, then the edge weight is assumed to be 1. If an edge |
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43 has a weight, it must be a a positive number. |
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44 |
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45 """ |
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46 if copy: |
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47 G = MultiDiGraph(G) if G.is_multigraph() else DiGraph(G) |
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48 # There is a tradeoff here: the dictionary of node degrees may |
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49 # require a lot of memory, whereas making a call to `G.out_degree` |
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50 # inside the loop may be costly in computation time. |
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51 degree = dict(G.out_degree(weight=weight)) |
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52 for u, v, d in G.edges(data=True): |
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53 if degree[u] == 0: |
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54 d[weight] = 0 |
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55 else: |
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56 d[weight] = d.get(weight, 1) / degree[u] |
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57 return G |