Edge-Domsaturation Number of a Graph
نویسنده
چکیده
The edge-domsaturation number ds′(G) of a graph G = (V,E) is the least positive integer k such that every edge of G lies in an edge dominating set of cardinality k. The connected edge-domsaturation number dsc(G) of a graph G = (V,E) is the least positive integer k such that every edge of G lies in a connected edge dominating set of cardinality k. In this paper, we obtain several results connecting ds′(G), dsc(G)and other graph theoretic parameters.
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