AN EXPOSITIONOF GRAPHS RELATEDTO FINITE COMMUTATIVE RINGS

Abstract

In this paper, we investigates the relation between the ring-theoretic properties of Rand the graph-theoretic properties of G(R), where Ris a finite commutative ring with unity, and G(R) is a simple undirected graph associated to R such that two deferent vertices u,v∈V(G)=R are adjacent if u^2=v^2. Rings of interest are R=Z/nZ.