On (distance) Laplacian characteristic polynomials of power graphs
Combinatorics
2026-04-21 v1 Discrete Mathematics
Group Theory
Abstract
The characteristic polynomials of the Laplacian and the distance Laplacian matrices of power graphs of groups of order , where and are { primes,} are obtained. Further, the characteristic polynomials of these matrices for proper power graphs of cyclic and dicyclic groups are given. The important inequalities for the zeros of the distance Laplacian characteristic polynomials of power graphs of finite groups are presented in comments.
Keywords
Cite
@article{arxiv.2604.17607,
title = {On (distance) Laplacian characteristic polynomials of power graphs},
author = {Bilal Ahmad Rather and Mustapha Aouchiche and Victor A. Bovdi},
journal= {arXiv preprint arXiv:2604.17607},
year = {2026}
}
Comments
19 pages, 1 figure