Signless Laplacian eigenvalues of the zero divisor graph associated to finite commutative ring ZpM1qM2.

For a commutative ring R with identity 1 6= 0, let the set Z(R) denote the set of zero-divisors and let Z-(R) = Z(R) n f0g be the set of non-zero zero divisors of R. The zero divisor graph of R, denoted by -(R), is a simple graph whose vertex set is Z-(R) and two vertices u; v 2 Z-(R) are adjacent if and only if uv = vu = 0. In this article, we and the signless Laplacian spectrum of the zero divisor graphs -(Zn) for n = pM1 qM2, where p < q are primes and M1;M2 are positive integers. [ABSTRACT FROM AUTHOR]