On the chromatic number of simple triangle-free triple systems

被引：0

作者：

Frieze, Alan ^{[1
]}

Mubayi, Dhruv ^{[2
]}

机构：

[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

[2] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

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：

A hypergraph is simple if every two edges share at most one vertex. It is triangle free if in addition every three pairwise intersecting edges have a vertex in common. We prove that there is an absolute constant c such that the chromatic number of a simple triangle-free triple system with maximum degreee Delta is at most c root Delta/log Delta. This extends a result of Johansson about graphs, and is sharp apart from the constant c.

引用

页数：27

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