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This article is cited in 8 scientific papers (total in 8 papers)
MATHEMATICS
On Sombor energy of graphs
K. J. Gowtham, Narahari Narasimha Swamy Dept. of Mathematics, University College of Science, Tumkur University, Tumakuru, Karnataka State, Pin 572 103, India
Abstract:
The concept of Sombor index $SO(G)$ was recently introduced by Gutman in the chemical graph theory. It is a vertex-degree-based topological index and is denoted by $SO(G)$. This paper introduces a new matrix for a graph $G$, called the Sombor matrix, and defines a new variant of graph energy called Sombor energy $ES(G)$ of a graph $G$. The striking feature of this new matrix is that it is related to well-known degree-based topological indices called forgotten indices. When $ES(G)$ values of some molecules containing hetero atoms are correlated with their total $\pi$-electron energy, we got a good correlation with the correlation coefficient $r$ = 0.976. Further, we found some bounds and characterizations on the largest eigenvalue of $S(G)$ and Sombor energy of graphs.
Keywords:
Sombor index, Sombor energy, forgotten index.
Received: 30.05.2021 Revised: 20.07.2021
Citation:
K. J. Gowtham, Narahari Narasimha Swamy, “On Sombor energy of graphs”, Nanosystems: Physics, Chemistry, Mathematics, 12:4 (2021), 411–417
Linking options:
https://www.mathnet.ru/eng/nano1034 https://www.mathnet.ru/eng/nano/v12/i4/p411
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