Defective coloring of hypergraphs

被引：0

作者：

Girao, Antonio ^{[1
]}

Illingworth, Freddie ^{[1
,3
]}

Scott, Alex ^{[1
]}

Wood, David R. ^{[2
]}

机构：

[1] Univ Oxford, Math Inst, Oxford, England

[2] Monash Univ, Sch Math, Melbourne, Vic, Australia

[3] UCL, Dept Math, London, England

来源：

RANDOM STRUCTURES & ALGORITHMS | 2024年 / 64卷 / 03期

基金：

英国工程与自然科学研究理事会; 澳大利亚研究理事会;

关键词：

coloring; hypergraphs; Lovasz local lemma; JUDICIOUS PARTITIONS;

D O I：

10.1002/rsa.21190

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We prove that the vertices of every (r+1)-uniform hypergraph with maximum degree Delta may be colored with c(Delta/d+1)(1/r) colors such that each vertex is in at most d monochromatic edges. This result, which is best possible up to the value of the constant c , generalizes the classical result of Erdos and Lovasz who proved the d=0 case.

引用

页码：663 / 675

页数：13

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