EXTREMAL VALUES ON THE MODIFIED SOMBOR INDEX OF TREES AND UNICYCLIC GRAPHS

EXTREMAL VALUES ON THE MODIFIED SOMBOR INDEX OF TREES AND UNICYCLIC GRAPHS

Let \(G=(V,E)\) be a simple connected graph. The modified Sombor index denoted by \(mSo(G)\) is defined as $$mSo(G)=\sum_{uv\in E}\frac{1}{\sqrt{d^2_u+d^2_v}},$$ where \(d_v\) denotes the degree of vertex \(v\). In this paper we present extremal values of modified Sombor index  over the set of trees...

Full description

Saved in:
Bibliographic Details
Main Authors: Raghavendra H Kashyap, Yanamandram B Venkatakrishnan, Rashad Ismail, Selvaraj Balachandran, Hari Naresh Kumar
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2024-07-01
Series:Ural Mathematical Journal
Subjects:
modified sombor index, trees, unicyclic graphs, extremal values
Online Access:https://umjuran.ru/index.php/umj/article/view/618
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let \(G=(V,E)\) be a simple connected graph. The modified Sombor index denoted by \(mSo(G)\) is defined as $$mSo(G)=\sum_{uv\in E}\frac{1}{\sqrt{d^2_u+d^2_v}},$$ where \(d_v\) denotes the degree of vertex \(v\). In this paper we present extremal values of modified Sombor index  over the set of trees and unicyclic graphs.
ISSN:2414-3952

Similar Items