On the spectra of Commuting Graphs
General Mathematics
2023-05-09 v3
Abstract
We describe the complete spectra of Laplacian, signless Laplacian, and adjacency matrices associated with the commuting graphs of a finite group using group theoretic information. We provide a method to find the center of a group by only using the Laplacian of the commuting graph of the group. The graph invariants (such as diameter, clique number, and mean distance) of the commuting graph associated with a finite group are determined. We produce a number of examples to illustrate the applications of our results.
Cite
@article{arxiv.2104.14967,
title = {On the spectra of Commuting Graphs},
author = {Gargi Ghosh and Samiron Parui},
journal= {arXiv preprint arXiv:2104.14967},
year = {2023}
}
Comments
24 pages, 5 figures