Lower bound on the KG-Sombor index

Document Type : Original paper

Authors

1 Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China

2 Department of Mathematics and Computer Science, Sirjan University of Technology

3 Department of Mathematics Prince Sattam bin Abdulaziz University Alkharj 11991, Saudi Arabia

Abstract

‎In 2021, a novel degree-based topological index was introduced by Gutman, 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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References

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Communications in Combinatorics and Optimization
Volume 8, Issue 4
December 2023
Pages 751-757

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