Finding perfect matchings in dense hypergraphs

Jie Han, Peter Keevash

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Citations (Scopus)

Abstract

We show that for any integers k ≥ 3 and c ≥ 0 there is a polynomial-time algorithm, that given any n-vertex k-uniform hypergraph H with minimum codegree at least n/k − c, finds either a perfect matching in H or a certificate that no perfect matching exists.

Original languageEnglish
Title of host publication31st Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2020
EditorsShuchi Chawla
PublisherAssociation for Computing Machinery
Pages2366-2377
Number of pages12
ISBN (Electronic)9781611975994
Publication statusPublished - 2020
Externally publishedYes
Event31st Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2020 - Salt Lake City, United States
Duration: 5 Jan 20208 Jan 2020

Publication series

NameProceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
Volume2020-January

Conference

Conference31st Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2020
Country/TerritoryUnited States
CitySalt Lake City
Period5/01/208/01/20

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