Bounds on Inverse and Double Domination Numbers of Fuzzy Square Graphs

N. Sarala, T. Kavitha

Abstract: Let D be a minimum dominating set of a fuzzy graph G2, if V (G2) D contains another dominating set D of G2, then D is called an inverse dominating set with respect to D. The minimum cardinality of vertices in such a set is called an inverse domination number of G2and is denoted by --1 (G2). In this paper, many bounds on --1 (G2) were obtained in terms of elements of G. Also its relationship with other domination parameters was obtained

Keywords: Dominating set, Fuzzy graphs, Fuzzy square graphs, Inverse domination number of Fuzzy square graphs