Signless Laplacian spectrum of power graphs of finite cyclic groups

Abstract

In this paper, we have studied the Signless Laplacian spectrum of the power graph of finite cyclic groups. We have shown that is an eigen value of Signless Laplacian of the power graph of with multiplicity at least In particular, using the theory of Equitable Partitions, we have completely determined the Signless Laplacian spectrum of power graph of for where are distinct primes.

Keywords

• finite groups
• power graphs
• signless laplacian eigenvalues