On Laplacian energy of non-commuting graphs of finite groups

TL;DR

This paper calculates the Laplacian energy of non-commuting graphs for specific classes of finite non-abelian groups, providing insights into their spectral properties.

Contribution

It introduces explicit computations of Laplacian energy for non-commuting graphs of certain finite non-abelian groups, expanding understanding of their spectral characteristics.

Findings

Laplacian energy values for selected finite non-abelian groups are determined.

The spectral properties of non-commuting graphs are characterized for these groups.

Abstract

In this paper, we compute Laplacian energy of the non-commuting graphs of some classes of finite non-abelian groups.