A grid theorem for strong immersions of walls

Fuente: arXiv
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Autores principales: Diestel, Reinhard, Jacobs, Raphael W., Knappe, Paul, Wollan, Paul
Formato: Preprint
Publicado: 2023
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author Diestel, Reinhard
Jacobs, Raphael W.
Knappe, Paul
Wollan, Paul
author_facet Diestel, Reinhard
Jacobs, Raphael W.
Knappe, Paul
Wollan, Paul
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2301_05134
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A grid theorem for strong immersions of walls
Diestel, Reinhard
Jacobs, Raphael W.
Knappe, Paul
Wollan, Paul
Combinatorics
05C75, 05C83, 05C40
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.
title A grid theorem for strong immersions of walls
topic Combinatorics
05C75, 05C83, 05C40
url https://arxiv.org/abs/2301.05134