Sombor Energy of a Graph with Self–Loops

Document Type

Article

Publication Title

Match

Abstract

This study aims to extend the notion of degree-based topological index, associated adjacency-type matrix and its energy from a simple graph to a graph with self-loops. Let GS be a graph with k self-loops obtained from a simple graph G, we define Sombor index for GS as (Figure Presented) where S ⊆ V(G) having self-loop to each of its vertices in S. In addition we investigate some fundamental properties of Sombor eigenvalues, McClelland and Koolen-Moulton-type bound for Sombor energy of GS. Also explores the correlation between Sombor energy of GS and the total π−electron energies associated with the corresponding hetero-molecular systems.

First Page

733

Last Page

786

DOI

10.46793/match.90-3.773A

Publication Date

1-1-2023

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