On fz- Domination Number of Fuzzy Graphs

Abstract

Given a fuzzy graph G = (V; ; ), the fz- domination number, fz(G), is the least scalar cardinality of an fz- dominating set of G. In this article, we examine several features of fz-domination number of fuzzy graphs as a result of various fuzzy graph operations. We find bounds for the fz-domination number of a few graph products and look at the requirements for the sharpness of these bounds.

Keywords

• fuzzy graph
• fz-dominating sets
• fz-domination number
• graph operations