Various energies of some super integral groups

TL;DR

This paper calculates different energy measures of commuting graphs for certain finite non-abelian groups, providing insights into their spectral properties.

Contribution

It introduces explicit formulas for energy, Laplacian energy, and signless Laplacian energy of commuting graphs for specific group families.

Findings

Energy values for various groups are explicitly computed.

Laplacian and signless Laplacian energies are derived for these groups.

Results enhance understanding of spectral graph properties of non-abelian groups.

Abstract

In this paper, we obtain energy, Laplacian energy and signless Laplacian energy of the commuting graphs of some families of finite non-abelian groups.