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Research Article | Open Access

On h-integral Sombor indices

Jorge Batanero1 , Edil D. Molina2 , José M. Rodríguez1 ( )
Universidad Carlos Ⅲ de Madrid, Departamento de Matemáticas, Avenida de la Universidad, 30 (edificio Sabatini), 28911 Leganés (Madrid), Spain; ROR: https://ror.org/03ths8210
Facultad de Matemáticas, Universidad Autónoma de Guerrero, Carlos E. Adame No.54 Col. Garita, 39650 Acalpulco Gro., Mexico
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Abstract

In 2021, Ivan Gutman introduced the Sombor index, a new vertex-degree-based topological index with significant geometric meaning. This index has shown remarkable growth in research activity in recent years. Following this geometric approach, in this paper we propose several generalizations of the Sombor integral indices. In addition, we study their properties and applications in modeling the enthalpy of vaporization of octane isomers.

Keywords

Sombor indicesintegral Sombor indicesgeneralized Sombor indicestopological indicesvertex-degree-based topological indices
CLC number: 05C09, 05C92, 92E10

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AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 12421-12446
DOI: 10.3934/math.2025561

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Cite this article:
Batanero J, Molina ED, Rodríguez JM. On h-integral Sombor indices. AIMS Mathematics, 2025, 10(5): 12421-12446. https://doi.org/10.3934/math.2025561

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Received: 25 March 2025
Revised: 22 May 2025
Accepted: 23 May 2025
Published: 15 May 2025
©2025 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)