On Sombor Index

Das, Kinkar, Çevik, Ahmet, Cangul, Ismail and Shang, Yilun (2021) On Sombor Index. Symmetry, 13 (1). p. 140. ISSN 2073-8994

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Official URL: https://doi.org/10.3390/sym13010140

Abstract

The concept of Sombor index (SO) was recently introduced by Gutman in the chemical graph theory. It is a vertex-degree-based topological index and is denoted by Sombor index SO: SO=SO(G)=∑vivj∈E(G)dG(vi)2+dG(vj)2√, where dG(vi) is the degree of vertex vi in G. Here, we present novel lower and upper bounds on the Sombor index of graphs by using some graph parameters. Moreover, we obtain several relations on Sombor index with the first and second Zagreb indices of graphs. Finally, we give some conclusions and propose future work.

Item Type: Article
Additional Information: Funding Information: Funding: This research was funded by Northumbria University under No. 201920A1001.
Uncontrolled Keywords: independence number, minimum degree, maximum degree, sombor index, graph
Subjects: G900 Others in Mathematical and Computing Sciences
Department: Faculties > Engineering and Environment > Computer and Information Sciences
Depositing User: Rachel Branson
Date Deposited: 18 Jan 2021 12:18
Last Modified: 25 Feb 2021 17:30
URI: http://nrl.northumbria.ac.uk/id/eprint/45243

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