The t-Improper Chromatic Number of Random Graphs

被引：16
|
作者：
Kang, Ross J. [1 ]
McDiarmid, Colin [2 ]
机构：
[1] McGill Univ, Sch Comp Sci, Montreal, PQ H2A 2A7, Canada
[2] Univ Oxford, Dept Stat, Oxford OX1 3TG, England
来源：
COMBINATORICS PROBABILITY & COMPUTING | 2010年 / 19卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
COLORINGS;
D O I：
10.1017/S0963548309990216
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We consider the t-improper chromatic number of the Erdos-Renyi random graph G(n,p). The t-improper chromatic number chi(t)(G) is the smallest number of colours needed in a colouring of the vertices in which each colour class induces a subgraph of maximum degree at most t. If t = 0, then this is the usual notion of proper colouring. When the edge probability p is constant, we provide a detailed description of the asymptotic behaviour of chi(t)(G(n,p)) over the range of choices for the growth of t = t(n).
引用
收藏
页码：87 / 98
页数：12
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