Effective and Difference Mean Edges in Fuzzy Graphs

Abstract

A difference mean edge and an effective difference mean edge relate the membership value of an edge with the membership values of its end vertices.This study discusses the propertiesof difference mean edges and effective difference mean edges. Based on them, few features of the difference mean fuzzy graph have been derived. We provide a necessary criterion for an edge to be a difference mean edge. The requirements that must be fulfilled for a difference mean edge that acts as an effective edge are determined. We analyze specific aspects of an effective difference mean fuzzy graph on path, star and explain the membership values of vertices in an effective difference mean fuzzy graph.