On the chromatic number of random regular graphs

被引：20

作者：

Coja-Oghlan, Amin ^{[1
]}

Efthymiou, Charilaos ^{[2
]}

Hetterich, Samuel ^{[1
]}

机构：

[1] Goethe Univ Frankfurt, Math Inst, Frankfurt, Germany

[2] Georgia Inst Technol, Coll Comp, Atlanta, GA 30332 USA

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES B | 2016年 / 116卷

基金：

欧洲研究理事会;

关键词：

Random graphs; Graph coloring; Phase transitions; SHARP CONCENTRATION; INDEPENDENCE; THRESHOLD;

D O I：

10.1016/j.jctb.2015.09.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G(n, d) be the random d-regular graph on n vertices. For every integer k exceeding a certain constant k(0) we identify a number 4,01 such that G(n, d) is k-colorable w.h.p. if d < d(k-col) and non-k-colorable w.h.p. if d> d(k-col). (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：367 / 439

页数：73

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