Fuzzy Structure of Generator Graphs

Abstract

The present paper is focusing on constructing the fuzzy graph from the generator graph associated with the modular cyclic groups.  We focus on the K3 graphs associated with each vertex of the generator graph and the total number of K3 graphs to establish few results on the obtained fuzzy graph. we study the order and size of the fuzzy graph. Keywords— Cyclic Group, Generator of a cyclic Group, Generator Graph of a cyclic group, membership of the vertex, fuzzy graph