Structure Graph of the Finite Group

Abstract

Let Γ(V, E) be a graph. The Cayley graph of group (G,∗) and a subset S is a graph denoted by C a y(G, S), it is with vertex set V(C a y(G, S)) = G and two vertices x, y ∈ G are join if and only if y = x s ∈ S for some s ∈ S. In this paper, we obtain characteristics of Cayley graphs under some graph operations, Graph direct product, Graph tenser product, Graph strong product when G isomorphic to Cyclic group C n and Dihedral Group D 2n .