Induced trees in triangle-free graphs

被引：0
|
作者：
Matousek, Jiri
Samal, Robert
机构：
[1] Charles Univ Prague, Dept Appl Math, CR-11800 Prague 1, Czech Republic
[2] Charles Univ Prague, Inst Theoret Comp Sci ITI, CR-11800 Prague, Czech Republic
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2008年 / 15卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that every connected triangle-free graph on n vertices contains an induced tree on exp(c root log n) vertices, where c is a positive constant. The best known upper bound is (2 + o(1))root n. This partially answers question of Erdos, Saks and Sos and of Pultr.
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页数：9
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