networkx.algorithms.dominating.dominating_set¶
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dominating_set
(G, start_with=None)[source]¶ Finds a dominating set for the graph G.
A dominating set for a graph with node set V is a subset D of V such that every node not in D is adjacent to at least one member of D [1].
Parameters: - G (NetworkX graph)
- start_with (node (default=None)) – Node to use as a starting point for the algorithm.
Returns: D – A dominating set for G.
Return type: Notes
This function is an implementation of algorithm 7 in [2] which finds some dominating set, not necessarily the smallest one.
See also
References
[1] https://en.wikipedia.org/wiki/Dominating_set [2] Abdol-Hossein Esfahanian. Connectivity Algorithms. http://www.cse.msu.edu/~cse835/Papers/Graph_connectivity_revised.pdf