Cut edges and Central vertices of zero divisor graph of the ring of integers modulo n

Abstract

The zero divisor graph of a commutative ring $R$ with unity is a graph whose vertices are the nonzero zero-divisors of the ring, with two distinct vertices being adjacent if their product is zero. This graph is denoted by $\Gamma (R)$. In this article we determine the cut-edges and central vertices in the graph $\Gamma ({\mathbb{Z}}_n)$.