Year: 2026
Type: article
Abstract: In this study, we investigate the signless Laplacian spectrum of power graphs of different finite non-commutative groups. Initially, we obtain the spectrum of the signless Laplacian matrix of power graph of elementary abelian groups whose orders are powers of a prime number. The signless Laplacian spectrum of the smallest sporadic group, the Mathieu group M 11 , is then computed. We also find the signless Laplacian eigenvalues of 𝒫(Q 2 k+2 ), where Q 2 k+2 represents the generalized quaternion group. For 𝒫(Dic 4n ), where Dic 4n is the dicyclic group, we finally give bounds on the signless Laplacian spectral radius.
Author: Subarsha Banerjee
Institution: JIS University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7127125758