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On Perfect Matchings in k-Complexes
International Mathematics Research Notices ( IF 1.452 ) Pub Date : 2020-01-11 , DOI: 10.1093/imrn/rnz343
Han J.

Keevash and Mycroft [ 19] developed a geometric theory for hypergraph matchings and characterized the dense simplicial complexes that contain a perfect matching. Their proof uses the hypergraph regularity method and the hypergraph blow-up lemma recently developed by Keevash. In this note we give a new proof of their results, which avoids these complex tools. In particular, our proof uses the lattice-based absorbing method developed by the author and a recent probabilistic argument of Kohayakawa, Person, and the author.
更新日期:2020-01-13

 

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