Acta Universitatis Sapientiae: Informatica (Dec 2021)

On A-energy and S-energy of certain class of graphs

  • Ramane Harishchandra S.,
  • Parvathalu B.,
  • Ashoka K.,
  • Patil Daneshwari

DOI
https://doi.org/10.2478/ausi-2021-0009
Journal volume & issue
Vol. 13, no. 2
pp. 195 – 219

Abstract

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Let A and S be the adjacency and the Seidel matrix of a graph G respectively. A-energy is the ordinary energy E(G) of a graph G defined as the sum of the absolute values of eigenvalues of A. Analogously, S-energy is the Seidel energy ES(G) of a graph G defined to be the sum of the absolute values of eigenvalues of the Seidel matrix S. In this article, certain class of A-equienergetic and S-equienergetic graphs are presented. Also some linear relations on A-energies and S-energies are given.

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