Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/components/semiconnected.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 """Semiconnectedness.""" |
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2 import networkx as nx |
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3 from networkx.utils import not_implemented_for, pairwise |
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4 |
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5 __all__ = ["is_semiconnected"] |
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6 |
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7 |
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8 @not_implemented_for("undirected") |
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9 def is_semiconnected(G, topo_order=None): |
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10 """Returns True if the graph is semiconnected, False otherwise. |
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11 |
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12 A graph is semiconnected if, and only if, for any pair of nodes, either one |
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13 is reachable from the other, or they are mutually reachable. |
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14 |
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15 Parameters |
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16 ---------- |
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17 G : NetworkX graph |
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18 A directed graph. |
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19 |
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20 topo_order: list or tuple, optional |
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21 A topological order for G (if None, the function will compute one) |
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22 |
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23 Returns |
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24 ------- |
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25 semiconnected : bool |
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26 True if the graph is semiconnected, False otherwise. |
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27 |
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28 Raises |
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29 ------ |
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30 NetworkXNotImplemented |
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31 If the input graph is undirected. |
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32 |
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33 NetworkXPointlessConcept |
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34 If the graph is empty. |
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35 |
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36 Examples |
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37 -------- |
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38 >>> G = nx.path_graph(4, create_using=nx.DiGraph()) |
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39 >>> print(nx.is_semiconnected(G)) |
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40 True |
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41 >>> G = nx.DiGraph([(1, 2), (3, 2)]) |
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42 >>> print(nx.is_semiconnected(G)) |
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43 False |
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44 |
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45 See Also |
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46 -------- |
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47 is_strongly_connected |
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48 is_weakly_connected |
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49 is_connected |
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50 is_biconnected |
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51 """ |
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52 if len(G) == 0: |
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53 raise nx.NetworkXPointlessConcept( |
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54 "Connectivity is undefined for the null graph." |
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55 ) |
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56 |
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57 if not nx.is_weakly_connected(G): |
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58 return False |
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59 |
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60 G = nx.condensation(G) |
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61 if topo_order is None: |
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62 topo_order = nx.topological_sort(G) |
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63 |
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64 return all(G.has_edge(u, v) for u, v in pairwise(topo_order)) |