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arXiv 1810.03420math.CO
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Maximum reciprocal degree resistance distance index of unicyclic graphs

Gui-Dong Yu, Xing-Xing Li, Gai-Xiang Cai

英文摘要:

The reciprocal degree resistance distance index of a connected graph $G$ is defined as $RDR(G)=\sum\limits_{\{u,v\}\subseteq V(G)}\frac {d_G(u)+d_G(v)}{r_G(u,v)}$, where $r_G(u,v)$ is the resistance distance between vertices $u$ and $v$ in $G$. Let $\mathscr {U}_n$ denote the set of unicyclic graphs with $n$ vertices. We study the graph with maximum reciprocal degree resistance distance index among all graphs in $\mathscr {U}_n$, and characterize the corresponding extremal graph.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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