On integral Sombor indices

Juan Rada, José M. Rodríguez and José M. Sigarreta

Applied Mathematics and Computation, 2023, vol. 452, issue C

Abstract: Let G=(V(G),E(G)) be a simple graph and denote by du the degree of the vertex u∈V(G). Using a geometric approach, I. Gutman introduced a new vertex-degree-based topological index, defined asSO(G)=∑uv∈E(G)(du)2+(dv)2,and named Sombor index. It is a molecular descriptor with an impressive research activity in recent years. In this paper we propose and initiate the study of a family of topological indices, also conceived from a geometrical point of view, called integral Sombor indices, that generalize the Sombor index. Also, we study the application of these indices in QSPR/QSAR research.

Keywords: Sombor indices; Integral Sombor indices; Topological indices; QSPR/QSAR Research (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:452:y:2023:i:c:s0096300323002059

DOI: 10.1016/j.amc.2023.128036

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