Efficient (j, k)-domination

نویسندگان

  • Robert R. Rubalcaba
  • Peter J. Slater
چکیده

A dominating set S of a graph G is called efficient if |N [v]∩S| = 1 for every vertex v ∈ V (G). That is, a dominating set S is efficient if and only if every vertex is dominated exactly once. In this paper, we investigate efficient multiple domination. There are several types of multiple domination defined in the literature: k-tuple domination, {k}-domination, and k-domination. We investigate efficient versions of the first two as well as a new type of multiple domination.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 27  شماره 

صفحات  -

تاریخ انتشار 2007