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New bounds on Sombor index | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 2، دوره 8، شماره 2، شهریور 2023، صفحه 305-311 اصل مقاله (384.29 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2022.27600.1296 | ||
| نویسندگان | ||
| Ivan Gutman* 1؛ Necla Kircali Gürsoy2؛ Arif Gürsoy3؛ Alper Ülker4 | ||
| 1Faculty of Science, University of Kragujevac, 34000 Kragujevac, Serbia | ||
| 2Tire Kutsan Vocational School, Ege University, 35900, ˙Izmir, Turkey | ||
| 3Department of Mathematics, Ege University, 35040, ˙Izmir, Turkey | ||
| 4Department of Mathematics, Ağrı İbrahim Çeçen University, 04100, Ağrı, Turkey | ||
| چکیده | ||
| The Sombor index of the graph $G$ is a degree based topological index, defined as $SO = \sum_{uv \in \mathbf E(G)}\sqrt{d_u^2+d_v^2}$, where $d_u$ is the degree of the vertex $u$, and $\mathbf E(G)$ is the edge set of $G$. Bounds on $SO$ are established in terms of graph energy, size of minimum vertex cover, matching number, and induced matching number. | ||
| کلیدواژه‌ها | ||
| Sombor index؛ degree (of vertex)؛ graph | ||
| مراجع | ||
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