SPECTRAL PROPERTIES OF ZERO DIVISOR GRAPH OF A FINITE LATTICE

Abstract

The goal of this work is to provide some fresh insights on the associated adjacency matrix of the zero divisor graph of (D_n,|), where n is a positive integer and D_nis the set of all divisors of n, and its finite product. In this paper we examine eigenvalues, determinant, nullity, energy, resolvant energy, estrada index, resolvant estrada index and k-th spectral moment to the corresponding their adjacency matrix using scilab software.