On A-energy and S-energy of certain class of graphs-Reference-Cited by-同舟云学术

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

Published:2021-12-01 Issue:2 Volume:13 Page:195-219
ISSN:2066-7760
Container-title:Acta Universitatis Sapientiae, Informatica
language:en
Short-container-title:

Author:

Ramane Harishchandra S.¹,Parvathalu B.²,Ashoka K.¹,Patil Daneshwari¹

Affiliation:

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

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

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/ausi-2021-0009

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