Degree resistance distance of unicyclic graphs

Degree resistance distance of unicyclic graphs
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DOI:
10.22108/toc.2012.1080
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发表时间:
2012-06
影响因子:
0.4
通讯作者:
I. Gutman;Linhua Feng;Guihai Yu
I. Gutman;Linhua Feng;Guihai Yu
中科院分区:
--
文献类型:
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作者:
I. Gutman;Linhua Feng;Guihai Yu

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设G是一个顶点集为V(G)的连通图. G的度电阻距离定义为:D_R(G)= sum_{{u_v,v} subseteq V(G)} [d(u)+d(v)] R(u,v)$_v,v,在本文中,我们刻画了具有最小和次小度电阻的$n个$-顶点单圈图,‎
Let $G$ be a connected graph with vertex set $V(G)$‎. ‎The‎ ‎degree resistance distance of $G$ is defined as $D_R(G) = sum_{{u‎, ‎v} subseteq V(G)} [d(u)+d(v)] R(u,v)$‎, ‎where $d(u)$ is the degree‎ ‎of vertex $u$‎, ‎and $R(u,v)$ denotes the resistance distance between‎ ‎$u$ and $v$‎. ‎In this paper‎, ‎we characterize $n$-vertex unicyclic‎ ‎graphs having minimum and second minimum degree resistance‎ ‎distance‎. ‎