Lower bound on the KG-Sombor index

COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION（2023）

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Abstract

In 2021, a novel degree-based topological index was introduced by Gut-man, called the Sombor index. Recently Kulli and Gutman introduced a vertex-edge variant of the Sombor index, is caled KG-Sombor index. In this paper, we establish lower bound on the KG-Sombor index and determine the extremal trees achieve this bound.

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Key words

Sombor index,KG-Sombor index,lower bound

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