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

<p>The energy E(G) of a graph G is the sum of the absolute values of eigenvalues of G and the Seidel energy E<sub>S</sub>(G) is the sum of the absolute values of eigenvalues of the Seidel matrix S of G. In this paper, some relations between the energy and Seidel energy of a graph in terms of different graph parameters are presented. Also, the inertia relations between the graph eigenvalue and Seidel eigenvalue of a graph are given. The results in this paper generalize some of the existing results.</p>
</abstract>

The energy E(G) of a graph G is the sum of the absolute values of eigenvalues of G and the Seidel energy ES(G) is the sum of the absolute values of eigenvalues of the Seidel matrix S of G. In this paper, some relations between the energy and Seidel energy of a graph in terms of different graph parameters are presented. Also, the inertia relations between the graph eigenvalue and Seidel eigenvalue of a graph are given. The results in this paper generalize some of the existing results.

Some relations between energy and Seidel energy of a graph

Karnatak University’s, Karnatak Arts College

Acta Universitatis Sapientiae, Informatica

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

{"article-title":"Some relations between energy and Seidel energy of a graph"}

The energy E(G) of a graph G is the sum of the absolute values of eigenvalues of G and the Seidel energy ES(G) is the sum of the absolute values of eigenvalues...

Some relations between energy and Seidel energy of a graph

Published Online: Aug 08, 2023

Page range: 46 - 59

Received: May 03, 2023

DOI: https://doi.org/10.2478/ausi-2023-0005

Keywords
graph eigenvalues, graph energy, Seidel eigenvalues, Seidel energy 46

© 2023 Harishchandra S. Ramane et al., published by Sciendo

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

Some relations between energy and Seidel energy of a graph

Published Online: Aug 08, 2023

Page range: 46 - 59

Received: May 03, 2023

DOI: https://doi.org/10.2478/ausi-2023-0005

Keywordsgraph eigenvalues, graph energy, Seidel eigenvalues, Seidel energy 46

© 2023 Harishchandra S. Ramane et al., published by Sciendo

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

Keywords
graph eigenvalues, graph energy, Seidel eigenvalues, Seidel energy 46