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Research Article | Open Access

Sombor index of uniform hypergraphs

Xiuwen Wang1, Maoqun Wang2( )
School of Information Science and Technology, Xiamen University Tan Kah Kee College, Zhangzhou, Fujian 363105, China
School of Mathematics and Information Sciences, Yantai University, Yantai, Shandong 264005, China
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Abstract

In 2021, Gutman proposed a topological index for graphs known as the Sombor index. In this paper, we obtain several upper and lower bounds of the Sombor index of uniform hypergraphs, including those of hypertrees. Furthermore, we present a Nordhaus-Gaddum type result for the Sombor index of uniform hypergraphs.

Keywords

Sombor indexk-uniform hypergraphlinear hypertreeNordhaus-Gaddum type inequalitylower boundupper bound
CLC number: 05C50, 05C65

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 30174-30185
DOI: 10.3934/math.20241457

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Cite this article:
Wang X, Wang M. Sombor index of uniform hypergraphs. AIMS Mathematics, 2024, 9(11): 30174-30185. https://doi.org/10.3934/math.20241457

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Received: 05 September 2024
Revised: 14 October 2024
Accepted: 16 October 2024
Published: 24 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)