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 absolute values of eigenvalues of A. Analogously, S-energy is the Seidel energy E (G) of a graph G defined to be the sum of the absolute values of...

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Veröffentlicht in:Acta Universitatis Sapientiae. Informatica 2021-12, Vol.13 (2), p.195-219
Hauptverfasser: Ramane, Harishchandra S., Parvathalu, B., Ashoka, K., Patil, Daneshwari
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Sprache:eng
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Zusammenfassung: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 (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.
ISSN:2066-7760
2066-7760
DOI:10.2478/ausi-2021-0009