On rainbow-free colourings of uniform hypergraphs

被引：2
|
作者：
Koerkamp, Ragnar Groot [1 ]
Zivny, Stanislav [1 ]
机构：
[1] Univ Oxford, Oxford, England
来源：
THEORETICAL COMPUTER SCIENCE | 2021年 / 885卷
基金：
欧洲研究理事会;
关键词：
Random hypergraphs; Rainbow-free colourings; No-rainbow colourings; COMPLEXITY;
D O I：
10.1016/j.tcs.2021.06.022
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We study rainbow-free colourings of k-uniform hypergraphs; that is, colourings that use k colours but with the property that no hyperedge attains all colours. We show that p* = (k - 1)(lnn)/n is the threshold function for the existence of a rainbow-free colouring in a random k-uniform hypergraph. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页码：69 / 76
页数：8
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