Energy of commuting graph of finite AC- groups

• Sharafdini, Reza ^[1] ; Nath, Rajat Kanti ^[2] ; Darbandi, Rezvan ^[3]
  1. [1] Persian Gulf University

     Persian Gulf University

     Irán

     
  2. [2] Tezpur University

     Tezpur University

     India

     
  3. [3] Amirkabir University of Technology

     Amirkabir University of Technology

     Irán

     

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 1, 2022, págs. 263-273
• Idioma: inglés
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• Resumen

  • 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.