grinpy.invariants.domination.is_k_dominating_set(G, nodes, k)

Return whether or not nodes comprises a k-dominating set.

A k-dominating set is a set of nodes with the property that every node in the graph is either in the set or adjacent at least 1 and at most k nodes in the set.

This is a generalization of the well known concept of a dominating set (take k = 1).

  • G (NetworkX graph) – An undirected graph.
  • nodes (list, set) – An iterable container of nodes in G.
  • k (int) – A positive integer.

True if the nodes in nbunch comprise a k-dominating set, and False otherwise.

Return type: