Rainbow vertex connection number of dense and sparse graphs

被引：0
|
作者：
Liu, Mengmeng [1 ]
机构：
[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
ARS COMBINATORIA | 2016年 / 125卷
关键词：
vertex-colored graph; rainbow vertex coloring; rainbow vertex connection number;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A vertex-colored graph G is rainbow connected, if any two vertices are connected by a path whose internal vertices have distinct colors. The rainbow vertex connection number of a connected graph G, denoted rvc(G), is the smallest number of colors that are needed in order to make G rainbow vertex connected. In this paper, we show that rvc(G) <= k, if vertical bar E(G)vertical bar >= ((n-k)(2)) + k, for k = 2,3,n - 4,n - 5,n - 6. These bounds are sharp.
引用
收藏
页码：393 / 399
页数：7
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