On Spectrum of the Weakly Zero-Divisor Graph

Abstract

Let us consider the finite commutative ring R, whose unity is 10. The weakly zero-divisor graph, denoted by WΓ(R), is an undirected graph whose distinct vertices c₁ and c₂ are adjacent if and only if, there exist r ∈ ann(c₁) and s ∈ ann(c₂) that satisfy the condition rs = 0. This article finds the Seidel Laplacian and Seidel signless Laplacian spectrum for the graph WΓ(Z_n) for various values of n.