On Aα spectrum of the zero-divisor graph of the ring ℤn

Abstract

Let [Formula: see text] be a commutative ring and [Formula: see text] be its zero-divisors set. The zero-divisor graph of [Formula: see text], denoted by [Formula: see text], is an undirected graph with vertex set [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent if and only if [Formula: see text]. In this paper, for [Formula: see text] where [Formula: see text] and [Formula: see text] are primes [Formula: see text] and [Formula: see text] and [Formula: see text] are positive integers, we calculate the [Formula: see text] spectrum of the graphs [Formula: see text]