On $ h $-integral Sombor indices

Jorge Batanero; Edil D. Molina; José M. Rodríguez; Jorge Batanero; Edil D. Molina; José M. Rodríguez

doi:10.3934/math.2025561

AIMS Mathematics

2025, Volume 10, Issue 5: 12421-12446. doi: 10.3934/math.2025561

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On $ h $-integral Sombor indices

1.
Universidad Carlos Ⅲ de Madrid, Departamento de Matemáticas, Avenida de la Universidad, 30 (edificio Sabatini), 28911 Leganés (Madrid), Spain; ROR: https://ror.org/03ths8210
2.
Facultad de Matemáticas, Universidad Autónoma de Guerrero, Carlos E. Adame No.54 Col. Garita, 39650 Acalpulco Gro., Mexico

Received: 25 March 2025 Revised: 22 May 2025 Accepted: 23 May 2025 Published: 28 May 2025
MSC : 05C09, 05C92, 92E10

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.
- Sombor indices,
- integral Sombor indices,
- generalized Sombor indices,
- topological indices,
- vertex-degree-based topological indices
Citation: Jorge Batanero, Edil D. Molina, José M. Rodríguez. On $ h $-integral Sombor indices[J]. AIMS Mathematics, 2025, 10(5): 12421-12446. doi: 10.3934/math.2025561

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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.

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