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Limits of latin squares
Institute of Mathematics, Czech Academy of Sciences, Czech Republic.
Institut für Informatik, Heidelberg University, Heidelberg, Germany.
Institute of Mathematics, Czech Academy of Sciences, Czech Republic.
University of Warwick, Coventry, UK. (Discrete Mathematics)
2023 (English)In: Discrete Analysis, E-ISSN 2397-3129, Vol. 2023, article id 8Article in journal (Refereed) Published
Abstract [en]

We develop a limit theory of Latin squares, paralleling the recent limit theories ofdense graphs and permutations. We introduce a notion of density, an appropriate version ofthe cut distance, and a space of limit objects — so-called Latinons. Key results of our theoryare the compactness of the limit space and the equivalence of the topologies induced by thecut distance and the left-convergence. Last, using Keevash’s recent results on combinatorialdesigns, we prove that each Latinon can be approximated by a finite Latin square.

Place, publisher, year, edition, pages
Alliance of Diamond Open Access Journals , 2023. Vol. 2023, article id 8
National Category
Discrete Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-217362DOI: 10.19086/da.83253ISI: 001038207600001Scopus ID: 2-s2.0-85171631393OAI: oai:DiVA.org:umu-217362DiVA, id: diva2:1815950
Funder
EU, Horizon 2020, 648509EU, Horizon 2020, 752426
Note

Overlay journal.

Available from: 2023-11-30 Created: 2023-11-30 Last updated: 2024-01-08Bibliographically approved

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Sharifzadeh, Maryam

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