Signless Laplacian spectrum of power graph of certain finite non-commutative groups
Abstract
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.
Fields of Study & Subjects
Graph theory and applications
Finite Group Theory Research
Matrix Theory and Algorithms
Publication details
- Journal / source
- International Journal of Mathematics and Computer in Engineering
- Publisher
- Walter de Gruyter GmbH
- Volume
- 4
- Issue
- 1
- Pages
- 33–44
- Publication date
- 2 February 2026
- Language
- EN