Domination in graph theory
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The Forced Domination Number Of A Graph
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Isolate domination in graphs
This proved the dominating set problem to be NP-complete as well. An independent set in L G corresponds to a matching in G , and a dominating set in L G corresponds to an edge dominating set in G. In , Richard Karp proved the set cover problem to be NP-complete. It is the most well-known problem complete for the class W and used in many reductions to show intractability of other problems. However, even if the graph admits k-tuple dominating set, a minimum k -tuple dominating set can be nearly k times as large as a minimum k -dominating set for the same graph.  An 1. The domatic number is the maximum size of a domatic partition. A minimum dominating set of an n -vertex graph can be found in time O 2 n n by inspecting all vertex subsets. Views Read Edit View history. Conversely, let D be a dominating set for G. From Wikipedia, the free encyclopedia.
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