On relationship between reformulated Sombor and other vertex--degree indices

Milovanovic, Emina I.; Stankov, Stefan; Bozkurt Altındağ, Şerife Burcu; Matejic, Marjan; Milovanovic, Igor Z.

doi:10.22108/toc.2024.136304.2036

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	On relationship between reformulated Sombor and other vertex--degree indices
Transactions on Combinatorics
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 09 مهر 1403 اصل مقاله (491.64 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/toc.2024.136304.2036
نویسندگان
Emina I. Milovanovic¹؛ Stefan Stankov¹؛ Şerife Burcu Bozkurt Altındağ²؛ Marjan Matejic³؛ Igor Z. Milovanovic^* ¹
¹Faculty of Electronic Engineering, University of Niš, Niš, Serbia
²Department of Mathematics, Faculty of Science, Selçuk University, Konya, Turkey
³Faculty of Electronic Engineering, University of Nis, Serbia
چکیده
Let $G=(V,E)$, $V=\{v_1, v_2,\ldots,v_n\}$, $E=\{e_1, e_2,\ldots,e_m\}$, be a simple connected graph with $n\ge 2$ vertices and $m$ edges, with vertex degree sequence $\Delta=d_1\ge d_2\ge \cdots \ge d_n=\delta$, $ d_i=d(v_i)$, and edge degree sequence $\Delta_e=d(e_1)\ge d(e_2)\ge \cdots \ge d(e_n)=\delta_e$. The reformulated Sombor index is defined as $RS(G) =\sum_{e_i\sim e_j}\sqrt{d(e_i)^2+d(e_j)^2}$. We consider a relationship between reformulated Sombor index and some of the vertex--degree-based indices.
کلیدواژه‌ها
Topological indices؛ vertex degree؛ Sombor indices

مراجع
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On relationship between reformulated Sombor and other vertex--degree indices