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墙强浸入的网格定理

IF 0.9 3区 数学 Q2 MATHEMATICS
Journal of Graph Theory Pub Date : 2025-04-10 DOI:10.1002/jgt.23245
Reinhard Diestel, Raphael W. Jacobs, Paul Knappe, Paul Wollan
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引用次数: 0

摘要

我们表明，当且仅当图不允许小“宽度”的树切分解时，图中包含一个大的墙作为强浸没次要，这是根据其附着力和其躯干的路径相似度来测量的。
本文章由计算机程序翻译，如有差异，请以英文原文为准。

A Grid Theorem for Strong Immersions of Walls

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A Grid Theorem for Strong Immersions of Walls

We show that a graph contains a large wall as a strong immersion minor if and only if the graph does not admit a tree-cut decomposition of small “width”, which is measured in terms of its adhesion and the path-likeness of its torsos.

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来源期刊
Journal of Graph Theory
Journal of Graph Theory 数学-数学
CiteScore
1.60
自引率
22.20%
发文量
130
审稿时长
6-12 weeks
期刊介绍： The Journal of Graph Theory is devoted to a variety of topics in graph theory, such as structural results about graphs, graph algorithms with theoretical emphasis, and discrete optimization on graphs. The scope of the journal also includes related areas in combinatorics and the interaction of graph theory with other mathematical sciences. A subscription to the Journal of Graph Theory includes a subscription to the Journal of Combinatorial Designs .
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