Graphs without a 3-Connected Subgraph are 4-Colourable

被引：0
|
作者：
Bonnet, Edouard [1 ]
Feghali, Carl [1 ]
Nguyen, Tung [2 ]
Scott, Alex [3 ]
Seymour, Paul [2 ]
Thomasse, Stephan [1 ]
Trotignon, Nicolas [1 ]
机构：
[1] Univ Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, France
[2] Princeton Univ, Princeton, NJ 08544 USA
[3] Univ Oxford, Math Inst, Oxford OX2 6GG, England
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2025年 / 32卷 / 01期
基金：
欧盟地平线“2020”; 英国工程与自然科学研究理事会;
关键词：
D O I：
10.37236/13181
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1972, Mader showed that every graph without a 3-connected subgraph is-degenerate and thus 5-colourable. We show that the number 5 of colours can be replaced by 4, which is best possible.
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页数：11
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