Open AccessEnergy of commuting graph of finite AC-groups
Author(s) -
Reza Sharafdini,
Rajat Kanti Nath,
Rezvan Darbandi
Publication year - 2022
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-4365
Subject(s) - adjacency matrix , graph energy , eigenvalues and eigenvectors , mathematics , combinatorics , graph , adjacency list , regular graph , discrete mathematics , voltage graph , line graph , physics , quantum mechanics
Let Γ be a graph with the adjacency matrix A. The energy of Γ 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 regarding hyperenergetic and borderenergetic graphs.