On the chromatic number of random graphs

被引：23
|
作者：
Coja-Oghlan, Amin [1 ]
Panagiotou, Konstantinos [2 ]
Steger, Angelika [2 ]
机构：
[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA
[2] ETH, Inst Theoret Comp Sci, CH-8092 Zurich, Switzerland
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES B | 2008年 / 98卷 / 05期
关键词：
random graphs; chromatic number;
D O I：
10.1016/j.jctb.2007.11.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the classical Erdos-Renyi model of random graphs G(n,p). We show that for p = p(n) <= n(-3/4-delta), for any fixed delta > 0, the chromatic number chi(G(n,p)) is a.a.s. l, l + 1, or l + 2, where l is the maximum integer satisfying 2(l - 1) log(l - 1) <= p(n - 1). (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：980 / 993
页数：14
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