On distance signless Laplacian spectra of power graphs of the integer modulo group

Abstract

For a finite group G, the power graph P(G) is a simple connected graph whose vertex set is the set of elements of G and two distinct vertices are adjacent if and only if one is a power of the other. In this article, we obtain the distance signless Laplacian spectrum of power graphs of the integer modulo groups ℤn. We characterize the values of n, for which power graphs of ℤn is distance signless Laplacian integral.