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A note on graphs with integer Sombor index | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 23 خرداد 1403 اصل مقاله (346.99 K) | ||
| نوع مقاله: Short notes | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29474.2013 | ||
| نویسنده | ||
| Noor A'lawiah Abd Aziz* | ||
| School of Mathematical Sciences , Universiti Sains Malaysia, 11800 Penang, Malaysia | ||
| چکیده | ||
| For a graph $G$, the Sombor index of $G$ is defined as $ SO(G)=\sum_{uv\in E(G)} \sqrt{\deg(u)^2+\deg(v)^2}$, where $\deg(u)$ is referring to the degree of vertex $u$ in $G$. In this paper, we present a construction, namely $R_k$-construction which produce infinitely many families of graphs whose Sombor indices are integers. | ||
| کلیدواژه‌ها | ||
| topological index؛ Sombor index؛ integer | ||
| مراجع | ||
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