English

Menger's theorem for ends of digraphs

Combinatorics 2026-04-13 v1

Abstract

Polat generalised Menger's theorem -- the maximum number of vertex-disjoint paths between two sets AA and BB equals the minimum size of an AA-BB 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.

Keywords

Cite

@article{arxiv.2604.09117,
  title  = {Menger's theorem for ends of digraphs},
  author = {Florian Reich},
  journal= {arXiv preprint arXiv:2604.09117},
  year   = {2026}
}

Comments

14 pages, 1 figure

R2 v1 2026-07-01T12:02:37.471Z