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

Keywords: Signless Laplacian matrix, distance signless Laplacian matrix, finite groups, power graph

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.

Author Biography

Shariefuddin Pirzada, University of Kashmir

Mathematics

Professor

Published
2022-01-13
Section
Articles