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On the degree sum energy of total transformation graphs of regular graphs

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pp. 217–229Vol. 44Issue 2March 2023DOI: 10.47974/JIOS-1220XML
Received:
05 Nov 2021
Accepted:
05 Jun 2022
Published Online:
01 Mar 2023
Article type:
A
Language:
EN
Article no.:
JIOS-1220
Pages:
217–229

Abstract

The energy E(G) of a graph G is the sum of absolute values of the eigenvalues of the adjacency matrix of G. This definition of energy was motivated by the large number of results for the Huckel molecular orbital total π-electron energy. Motivated by E(G), The degree sum energy EDS(G) of a simple connected graph G is defined by sum of the absolute values of all eigenvalues of degree sum matrix. In this paper, we obtain spectra and degree sum energy of the total transformation graph Gxyz of a r-regular graph.

Keywords

Subject Classifications

[2010] 05C0705C3105C50

References

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