STRUCTURE OF ZERO-DIVISOR GRAPHS ASSOCIATED TO RING OF INTEGER MODULO n

For a commutative ring R with identity 1≠ 0, let Z*(R)=Z(R) 0 be the set of non-zero zero-divisors of R, where $Z(R)$ is the set of all zero-divisors of R. The zero-divisor graph of R, denoted by Γ(R), is a simple graph whose vertex set is Z*(R)=Z(R) \0\ and two vertices of Z^*(R) are adjacent if and only if their product is $ 0 $. In this article, we find the structure of the zero-divisor graphs Γ(Zₙ), for n=pN₁qN₂r, where $2<p<q<r$ are primes and N₁ and N₂ are positive integers.