Energy of commuting graph of finite groups whose centralizers are Abelian

Abstract

Let $\Gamma$ be a graph with the adjacency matrix $A$. The energy of $\Gamma$ is the sum of the absolute values of the eigenvalues of $A$. In this article we compute the energies of the commuting graphs of some finite groups and discuss some consequences.

arXiv admin note: text overlap with arXiv:1604.07133 by other authors

References in corpus (3)

• The commuting graph of a soluble group
• Finite groups whose commuting graphs are integral
• On Laplacian energy of non-commuting graphs of finite groups