Laplacian Spectrum of non-commuting graphs of finite groups

Abstract

In this paper, we compute the Laplacian spectrum of non-commuting graphs of some classes of finite non-abelian groups. Our computations reveal that the non-commuting graphs of all the groups considered in this paper are L-integral. We also obtain some conditions on a group $G$ so that its non-commuting graph is L-integral.

arXiv admin note: text overlap with arXiv:1604.07133