English

Decomposition of (infinite) digraphs along directed 1-separations

Combinatorics 2023-05-17 v1 Discrete Mathematics

Abstract

We introduce torsoids, a canonical structure in matching covered graphs, corresponding to the bricks and braces of the graph. This allows a more fine-grained understanding of the structure of finite and infinite directed graphs with respect to their 1-separations.

Keywords

Cite

@article{arxiv.2305.09192,
  title  = {Decomposition of (infinite) digraphs along directed 1-separations},
  author = {Nathan Bowler and Florian Gut and Meike Hatzel and Ken-ichi Kawarabayashi and Irene Muzi and Florian Reich},
  journal= {arXiv preprint arXiv:2305.09192},
  year   = {2023}
}
R2 v1 2026-06-28T10:35:31.662Z