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

Authors :
Ramane Harishchandra S.
Parvathalu B.
Ashoka K.
Patil Daneshwari
Source :
Acta Universitatis Sapientiae: Informatica, Vol 13, Iss 2, Pp 195-219 (2021)
Publication Year :
2021
Publisher :
Scientia Publishing House, 2021.

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.

Details

Language :
English
ISSN :
20667760
Volume :
13
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Acta Universitatis Sapientiae: Informatica
Publication Type :
Academic Journal
Accession number :
edsdoj.89cc9f1b1b884116b48ca9e9010f25be
Document Type :
article
Full Text :
https://doi.org/10.2478/ausi-2021-0009