SEYMOUR'S CONJECTURE ON 2-CONNECTED GRAPHS OF LARGE PATHWIDTH

被引：2

作者：

Huynh, Tony ^{[1
]}

Joret, Gwenael ^{[2
]}

Micek, Piotr ^{[3
]}

Wood, David R. ^{[1
]}

机构：

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

[2] Univ Libre Bruxelles, Dept Informat, Brussels, Belgium

[3] Jagiellonian Univ, Theoret Comp Sci Dept, Fac Math & Comp Sci, Krakow, Poland

来源：

COMBINATORICA | 2020年 / 40卷 / 06期

基金：

澳大利亚研究理事会;

关键词：

05C83;

D O I：

10.1007/s00493-020-3941-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a conjecture of Seymour (1993) stating that for every apex-forest H-1 and outerplanar graph H-2 there is an integer p such that every 2-connected graph of pathwidth at least p contains H-1 or H-2 as a minor. An independent proof was recently obtained by Dang and Thomas [3].

引用

页码：839 / 868

页数：30

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