An Interplay between Commutative Rings and Graph Theory: A Review

Abstract

The study of zero-divisor graphs has emerged as a key area of research in algebra, serving as a link between ring theory and graph theory. These graphs offer a valuable framework for exploring the structure of commutative rings. While many important findings have previously been established in the study of graphs associated with zero-divisors of a commutative ring, this chapter highlights some of the key findings that directly demonstrate the connection between algebra and graph theory.