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Perfect matchings in 3-partite 3-uniform hypergraphs
Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2014 (English)In: Journal of combinatorial theory. Series A (Print), ISSN 0097-3165, E-ISSN 1096-0899, Vol. 127, 22-57 p.Article in journal (Refereed) Published
Abstract [en]

Let H be a 3-partite 3-uniform hypergraph, i.e. a 3-uniform hypergraph such that every edge intersects every partition class in exactly one vertex, with each partition class of size n. We determine a Dirac-type vertex degree threshold for perfect matchings in 3-partite 3-uniform hypergraphs.

Place, publisher, year, edition, pages
2014. Vol. 127, 22-57 p.
Keyword [en]
Hypergraph, k-partite, Perfect matching, Minimum degree
National Category
Discrete Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-92704DOI: 10.1016/j.jcta.2014.05.004ISI: 000341739300002OAI: oai:DiVA.org:umu-92704DiVA: diva2:742343
Available from: 2014-09-01 Created: 2014-09-01 Last updated: 2017-12-05Bibliographically approved

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Markström, Klas
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