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Perfect matchings in -partite -graphs

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Aharoni, Ron, Georgakopoulos, Agelos and Sprüssel, Philipp (2009) Perfect matchings in -partite -graphs. European Journal of Combinatorics, Vol.30 (No.1). pp. 39-42. doi:10.1016/j.ejc.2008.02.011 ISSN 0195-6698.

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Official URL: http://dx.doi.org/10.1016/j.ejc.2008.02.011

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Abstract

Let H be an r-partite r-graph, all of whose sides have the same size n. Suppose that there exist two sides of H, each satisfying the following condition: the degree of each legal r−1-tuple contained in the complement of this side is strictly larger than . We prove that under this condition H must have a perfect matching. This answers a question of Kühn and Osthus.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: European Journal of Combinatorics
Publisher: Academic Press
ISSN: 0195-6698
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.30
Number: No.1
Page Range: pp. 39-42
DOI: 10.1016/j.ejc.2008.02.011
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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