Rainbow Connection in 3-Connected Graphs

被引:0
|
作者
Xueliang Li
Yongtang Shi
机构
[1] Nankai University,Center for Combinatorics and LPMC
来源
Graphs and Combinatorics | 2013年 / 29卷
关键词
Rainbow connection; Connectivity; The fan lemma; 05C15; 05C40;
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学科分类号
摘要
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection number of a connected graph G, denoted by rc(G), is the smallest number of colors that are needed in order to make G rainbow connected. In this paper, we proved that rc(G) ≤ 3(n + 1)/5 for all 3-connected graphs.
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页码:1471 / 1475
页数:4
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