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Relationships between Randic index and other topological indices | ||
Communications in Combinatorics and Optimization | ||
مقاله 11، دوره 6، شماره 1، شهریور 2021، صفحه 137-154 اصل مقاله (423.29 K) | ||
نوع مقاله: Original paper | ||
شناسه دیجیتال (DOI): 10.22049/cco.2020.26751.1138 | ||
نویسندگان | ||
Z. Du* 1؛ A. Jahanbai2؛ S. M. Sheikholeslami3 | ||
1School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, China | ||
2Department of Mathematics, Azarbaijan Shahid Madani University Tabriz, Iran | ||
3Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran | ||
چکیده | ||
Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$, and let $d_u$ denote the degree of vertex $u$ in $G$. The Randi'c index of $G$ is defined as ${R}(G) =\sum_{uv\in E(G)} 1/\sqrt{d_ud_v}.$ In this paper, we investigate the relationships between Randi'c index and several topological indices. | ||
کلیدواژهها | ||
Randi'c index؛ Zagreb indices؛ ABC index؛ Geometric-Arithmetic index؛ Augmented Zagreb index | ||
مراجع | ||
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