Menger's theorem for ends of digraphs

Fuente: arXiv
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Autore principale: Reich, Florian
Natura: Preprint
Pubblicazione: 2026
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author Reich, Florian
author_facet Reich, Florian
contents Polat generalised Menger's theorem -- the maximum number of vertex-disjoint paths between two sets $A$ and $B$ equals the minimum size of an $A$-$B$ separator -- to ends of undirected graphs. In this paper we extend Menger's theorem to ends of digraphs. As an application, we characterise the combined degree of ends of digraphs.
format Preprint
id arxiv_https___arxiv_org_abs_2604_09117
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Menger's theorem for ends of digraphs
Reich, Florian
Combinatorics
05C63, 05C20
Polat generalised Menger's theorem -- the maximum number of vertex-disjoint paths between two sets $A$ and $B$ equals the minimum size of an $A$-$B$ separator -- to ends of undirected graphs. In this paper we extend Menger's theorem to ends of digraphs. As an application, we characterise the combined degree of ends of digraphs.
title Menger's theorem for ends of digraphs
topic Combinatorics
05C63, 05C20
url https://arxiv.org/abs/2604.09117