Extremal trees for the general Sombor index

Phanjoubam, Chinglensana; Mawiong, Sainkupar Mn; Buhphang, Ardeline M.

doi:10.22049/cco.2024.29444.1996

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	Extremal trees for the general Sombor index
Communications in Combinatorics and Optimization
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 آذر 1403 اصل مقاله (418.76 K)
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2024.29444.1996
نویسندگان
Chinglensana Phanjoubam¹؛ Sainkupar Mn Mawiong^* ²؛ Ardeline M. Buhphang¹
¹Department of Mathematics, North-Eastern Hill University, Shillong, India
²Department of Basic Sciences and Social Sciences, North-Eastern Hill University, Shillong, India
چکیده
Recently, the Sombor index of a graph has been extended to general Sombor index. The general Sombor index of a simple graph $G$ is defined as $SO_\alpha(G)=\displaystyle\sum_{uv\in E(G)}[d_G(u)^2+d_G(v)^2]^{{\alpha}/2}$, where $d_G(u)$ denotes the degree of a vertex $u$ in $G$ and $\alpha$ is a real number. In this paper, we obtain bounds for the general Sombor index of trees. We further determine the trees with the extremal general Sombor indices.
کلیدواژه‌ها
Sombor index؛ General Sombor index؛ Trees؛ Degree

مراجع
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Extremal trees for the general Sombor index