Inverse and Disjoint Restrained Domination in Graphs

نویسنده

  • V. R. Kulli
چکیده

Let D be a minimum secure restrained dominating set of a graph G = (V, E). If V – D contains a restrained dominating set D' of G, then D' is called an inverse restrained dominating set with respect to D. The inverse restrained domination number γr(G) of G is the minimum cardinality of an inverse restrained dominating set of G. The disjoint restrained domination number γrγr(G) of G is the minimum cardinality of the union of two disjoint restrained dominating sets in G. We also consider an invariant the minimum cardinality of the disjoint union of a dominating set and a restrained dominating set. In this paper, we initiate a study of these parameters and obtain some results on these new parameters.

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تاریخ انتشار 2016