<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 E<sub>S</sub>(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.</p>
</abstract>

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.

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

Acta Universitatis Sapientiae, Informatica

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"On A-energy and S-energy of certain class of graphs"}

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...

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

Published Online: Feb 02, 2022

Page range: 195 - 219

Received: Jun 02, 2021

Accepted: Aug 18, 2021

DOI: https://doi.org/10.2478/ausi-2021-0009

© 2021 Harishchandra S. Ramane et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.