On ubiquity problems in infinite digraphs

Fuente: arXiv
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Autori principali: Hamann, Matthias, Heuer, Karl
Natura: Preprint
Pubblicazione: 2026
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author Hamann, Matthias
Heuer, Karl
author_facet Hamann, Matthias
Heuer, Karl
contents We prove that the consistently oriented double ray is ubiquitous if and only if it is ubiquitous restricted to the class of one-ended digraphs. Additionally, we prove the same equivalence for the disjoint union of a consistently forward and a consistently backward oriented ray. Furthermore, we discuss the connection between these two ubiquity problems.
format Preprint
id arxiv_https___arxiv_org_abs_2602_22912
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On ubiquity problems in infinite digraphs
Hamann, Matthias
Heuer, Karl
Combinatorics
05C20, 05C63
We prove that the consistently oriented double ray is ubiquitous if and only if it is ubiquitous restricted to the class of one-ended digraphs. Additionally, we prove the same equivalence for the disjoint union of a consistently forward and a consistently backward oriented ray. Furthermore, we discuss the connection between these two ubiquity problems.
title On ubiquity problems in infinite digraphs
topic Combinatorics
05C20, 05C63
url https://arxiv.org/abs/2602.22912