Ubiquity of oriented rays

Fuente: arXiv
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Auteurs principaux: Gut, Florian, Krill, Thilo, Reich, Florian
Format: Preprint
Publié: 2022
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author Gut, Florian
Krill, Thilo
Reich, Florian
author_facet Gut, Florian
Krill, Thilo
Reich, Florian
contents Call a digraph $H$ \emph{ubiquitous} if every digraph $D$ that contains $k$ vertex-disjoint copies of $H$ for every $k \in \mathbb{N}$ also contains infinitely many vertex-disjoint copies of $H$. We characterise which digraphs whose underlying undirected graph is a ray are ubiquitous.
format Preprint
id arxiv_https___arxiv_org_abs_2210_06952
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Ubiquity of oriented rays
Gut, Florian
Krill, Thilo
Reich, Florian
Combinatorics
05C20, 05C63
Call a digraph $H$ \emph{ubiquitous} if every digraph $D$ that contains $k$ vertex-disjoint copies of $H$ for every $k \in \mathbb{N}$ also contains infinitely many vertex-disjoint copies of $H$. We characterise which digraphs whose underlying undirected graph is a ray are ubiquitous.
title Ubiquity of oriented rays
topic Combinatorics
05C20, 05C63
url https://arxiv.org/abs/2210.06952