Maryam Ghorani

Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, iran

[ 1 ] - Strength of strongest dominating sets in fuzzy graphs

A set S of vertices in a graph G=(V,E) is a dominating set ofG if every vertex of V-S is adjacent to some vertex of S.For an integer k≥1, a set S of vertices is a k-step dominating set if any vertex of $G$ is at distance k from somevertex of S. In this paper, using membership values of vertices and edges in fuzzy graphs, we introduce the concepts of strength of strongestdominating set as well a...