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networkx.algorithms.dominating.dominating_set

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:

set

Notes

This function is an implementation of algorithm 7 in [2] which finds some dominating set, not necessarily the smallest one.

See also

is_dominating_set()

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