Some relations between energy and Seidel energy of a graph-Reference-Cited by-同舟云学术

Some relations between energy and Seidel energy of a graph

Published:2023-08-01 Issue:1 Volume:15 Page:46-59
ISSN:2066-7760
Container-title:Acta Universitatis Sapientiae, Informatica
language:en
Short-container-title:

Author:

Ramane Harishchandra S.¹,Parvathalu B.²,Ashoka K.³,Patil Daneshwari⁴

Affiliation:

1. 1 Department of Mathematics , Karnatak University , Dharwad , India

2. 2 Department of Mathematics , Karnatak University’s, Karnatak Arts College , Dharwad , India

3. 3 Department of Mathematics , Christ University , Bangalore , India

4. 4 Department of Mathematics , Karnatak University , Dharwad , India

Abstract

AbstractThe 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.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/ausi-2023-0005

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