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Sombor index of some graph transformations | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 16، دوره 8، شماره 1، خرداد 2023، صفحه 193-205 اصل مقاله (414.55 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2021.27484.1272 | ||
| نویسندگان | ||
| Harishchandra S. Ramane1؛ Ivan Gutman* 2؛ Kavita Bhajantri1؛ Deepa V. Kitturmath1 | ||
| 1Department of Mathematics, Karnatak University, Dharwad | ||
| 2University of Kragujevac | ||
| چکیده | ||
| The Sombor index of the graph $G$ is a recently introduced degree based topological index. It is defined as $SO = \sum_{uv \in E(G)} \sqrt{d(u)^2+d(v)^2}$, where $d(u)$ is the degree of the vertex u and $E(G)$ is the edge set of $G$. In this paper we calculate $SO$ of some graph transformations. | ||
| کلیدواژهها | ||
| Sombor index؛ degree (of vertex)؛ graph transformation | ||
| مراجع | ||
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