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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 | ||
| 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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