English

Perfect matchings in 3-partite 3-uniform hypergraphs

Combinatorics 2014-10-15 v2

Abstract

Let HH be a 33-partite 33-uniform hypergraph, i.e. a 33-uniform hypergraph such that every edge intersects every partition class in exactly one vertex, with each partition class of size nn. We determine a Dirac-type vertex degree threshold for perfect matchings in 33-partite 33-uniform hypergraphs.

Keywords

Cite

@article{arxiv.1103.5654,
  title  = {Perfect matchings in 3-partite 3-uniform hypergraphs},
  author = {Allan Lo and Klas Markström},
  journal= {arXiv preprint arXiv:1103.5654},
  year   = {2014}
}

Comments

Updated. Now published in J. Combinatorial Theory Series A 127 (2014) 22-57

R2 v1 2026-06-21T17:46:16.117Z