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Elliptic Sombor index of chemical graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 14، دوره 10، شماره 4، اسفند 2025، صفحه 989-999 اصل مقاله (368.47 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29404.1977 | ||
| نویسندگان | ||
| Carlos Espinal1؛ Ivan Gutman2؛ Juan Rada* 1 | ||
| 1Instituto de Matemáticas, Universidad de Antioquia, Medellín, Colombia | ||
| 2Faculty of Science, University of Kragujevac, 34000 Kragujevac, Serbia | ||
| چکیده | ||
| Let $G$ be a simple graph. The elliptic Sombor index of $G$ is defined as $$ ESO(G) = \sum_{uv} \left(d_{u}+ d_{v} \right)\sqrt{d^{2}_{u}+d^{2}_{v}},$$ where $d_{u}$ denotes the degree of the vertex $u$, and the sum runs over the set of edges of $G$. In this paper we solve the extremal value problem of $ESO$ over the set of (connected) chemical graphs and over the set of chemical trees, with equal number of vertices. | ||
| کلیدواژه‌ها | ||
| elliptic Sombor index؛ chemical graph؛ vertex-degree-based topological index | ||
| مراجع | ||
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[8] H. Liu, H. Chen, Q. Xiao, X. Fang, and Z. Tang, More on sombor indices of chemical graphs and their applications to the boiling point of benzenoid hydrocarbons, Int. J. Quantum Chem. 121 (2021), no. 17, Article ID: e26689. https://doi.org/10.1002/qua.26689
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[12] D. Vukičević and M Gašperov, Bond additive modeling 1. adriatic indices, Croat. Chem. Acta 83 (2010), no. 3, 243–260. | ||
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