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...
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Main Authors: | , , , , |
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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
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Series: | Ural Mathematical Journal |
Subjects: | |
Online Access: | https://umjuran.ru/index.php/umj/article/view/618 |
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