English

Matchings in balanced hypergraphs

Combinatorics 2009-10-23 v1

Abstract

We give a new proof of K\"onig's theorem and generalize the Gallai-Edmonds decomposition to balanced hypergraphs in two different ways. Based on our decompositions we give two new characterizations of balanced hypergraphs and show some properties of matchings and vertex cover in balanced hypergraphs.

Keywords

Cite

@article{arxiv.0910.4197,
  title  = {Matchings in balanced hypergraphs},
  author = {Robert Scheidweiler and Eberhard Triesch},
  journal= {arXiv preprint arXiv:0910.4197},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-06-21T14:01:49.397Z