Independent sets in graphs with triangles

被引：4
|
作者：
Hofmeister, T
Lefmann, H
机构：
[1] Lehrstuhl Informatik II, Universität Dortmund
来源：
INFORMATION PROCESSING LETTERS | 1996年 / 58卷 / 05期
关键词：
algorithms; independent sets;
D O I：
10.1016/0020-0190(96)00072-5
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note we give a fast algorithm which computes an independent set of size at least Omega((n/Delta) In Delta) for a graph G on n vertices with maximum degree Delta, if G contains only a little less than the maximum possible number of triangles (say n Delta(2-epsilon) many for a positive constant epsilon). Our algorithm uses derandomization and is based on earlier results concerning the independence number of triangle-free graphs due to Ajtai et al. (1980) and Shearer (1983).
引用
收藏
页码：207 / 210
页数：4
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