Pseudorandom hypergraph matchings

A celebrated theorem of Pippenger states that any almost regular hypergraph with small codegrees has an almost perfect matching. We show that one can find such an almost perfect matching which is ‘pseudorandom’, meaning that, for instance, the matching contains as many edges from a given set of edge...

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Bibliographic Details
Main Authors: Ehard, Stefan (Author) , Glock, Stefan (Author) , Joos, Felix (Author)
Format: Article (Journal)
Language:English
Published: 22 July 2020
In: Combinatorics, probability & computing
Year: 2020, Volume: 29, Issue: 6, Pages: 868-885
ISSN:1469-2163
DOI:10.1017/S0963548320000280
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1017/S0963548320000280
Verlag, lizenzpflichtig, Volltext: https://www.cambridge.org/core/journals/combinatorics-probability-and-computing/article/pseudorandom-hypergraph-matchings/AE0DE17C95900E7DD3F221E2C17FE203
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Author Notes:Stefan Ehard, Stefan Glock and Felix Joos
Description
Summary:A celebrated theorem of Pippenger states that any almost regular hypergraph with small codegrees has an almost perfect matching. We show that one can find such an almost perfect matching which is ‘pseudorandom’, meaning that, for instance, the matching contains as many edges from a given set of edges as predicted by a heuristic argument.
Item Description:Gesehen am 01.06.2022
Physical Description:Online Resource
ISSN:1469-2163
DOI:10.1017/S0963548320000280