Energy of commuting graph of finite AC- groups


  • Reza Sharafdini Persian Gulf University.
  • Rajat Kanti Nath Tezpur University.
  • Rezvan Darbandi Amirkabir University of Technology.



commuting graph, non-commuting graph, AC-group, eigenvalue, energy


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.

Author Biographies

Reza Sharafdini, Persian Gulf University.

Department of Mathematics, Faculty of Science.

Rajat Kanti Nath, Tezpur University.

Department of Mathematical Science.

Rezvan Darbandi, Amirkabir University of Technology.

Department of Mathematics and Computer Science.


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How to Cite

R. Sharafdini, R. K. Nath, and R. Darbandi, “Energy of commuting graph of finite AC- groups”, Proyecciones (Antofagasta, On line), vol. 41, no. 1, pp. 263-273, Jan. 2022.