Geodesic
On Sombor energy of graphs
Nanosistemy: fizika, himiâ, matematika, Tome 12 (2021) no. 4, pp. 411-417.

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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. 
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     author = {K. J. Gowtham and Narahari Narasimha Swamy},
     title = {On {Sombor} energy of graphs},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {411--417},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2021_12_4_a0/}
}
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K. J. Gowtham; Narahari Narasimha Swamy. On Sombor energy of graphs. Nanosistemy: fizika, himiâ, matematika, Tome 12 (2021) no. 4, pp. 411-417. http://geodesic.mathdoc.fr/item/NANO_2021_12_4_a0/