Complete minors in cubic graphs with few short cycles and random cubic graphs

被引：0

作者：

Markström, K ^{[1
]}

机构：

[1] Umea Univ, Dept Math, SE-90187 Umea, Sweden

来源：

ARS COMBINATORIA | 2004年 / 70卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We first prove that for any fixed kappa a cubic graph with few short cycles contains a K-kappa-minor. This is a direct generalisation of a result on girth by Thomassen. We then use this theorem to show that for any fixed k a random cubic graph contains a Kk-minor asymptotically almost surely.

引用

页码：289 / 295

页数：7

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