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Elliptic Sombor index of chemical graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 اردیبهشت 1403 اصل مقاله (362.8 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29404.1977 | ||
| نویسندگان | ||
| Carlos Espinal1؛ Ivan Gutman2؛ Juan Rada* 1 | ||
| 1Universidad de Antioquia | ||
| 2University of Kragujevac | ||
| 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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[4] I. Gutman, B. Furtula, and M.S. Oz, Geometric approach to vertex-degree-based topological indices–elliptic sombor index, theory and application, Int. J. Quantum Chem. 124 (2024), no. 2, Article ID: e27346. https://doi.org/10.1002/qua.27346 [5] M. Kalaimathi and B.J. Balamurugan, Topological indices of molecular graphs of monkeypox drugs for qspr analysis to predict physicochemical and admet properties, Int. J. Quantum Chem. 123 (2023), no. 22, Article ID: e27210. https://doi.org/10.1002/qua.27210 [6] V. R. Kulli, Handbook of Research of Advanced Applications of Graph Theory in Modern Society, ch. Graph indices, pp. 66—-91, Global, Hershey, 2020.
[7] V.R. Kulli, Modified elliptic sombor index and its exponential of a graph, Int. J. Math. Comput. Res. 12 (2024), no. 1, 3949–3954. https://doi.org/10.47191/ijmcr/v12i1.04 [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 [9] F. Movahedi and M.H. Akhbari, Degree-based topological indices of the molecular structure of hyaluronic acid–methotrexate conjugates in cancer treatment, Int. J. Quantum Chem. 123 (2023), no. 12, Article ID: e27106. https://doi.org/10.1002/qua.27106 [10] J.M. Rada, J.M. Rodríguez, and J.M. Sigarreta, Sombor index and elliptic sombor index of benzenoid systems, Appl. Math. Comput. 475 (2024), Article ID: 128756.
[11] R. Todeschini and V. Consonni, Molecular Descriptors for Chemoinformatics, Wiley-VCH, 2009.
[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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