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Limits of Latin Squares

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F23%3A00573950" target="_blank" >RIV/67985807:_____/23:00573950 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985840:_____/23:00583490 RIV/00216224:14330/23:00133934

  • Result on the web

    <a href="https://dx.doi.org/10.19086/da.83253" target="_blank" >https://dx.doi.org/10.19086/da.83253</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.19086/da.83253" target="_blank" >10.19086/da.83253</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Limits of Latin Squares

  • Original language description

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

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GJ18-01472Y" target="_blank" >GJ18-01472Y: Graph limits and inhomogeneous random graphs</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2023

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Discrete Analysis

  • ISSN

    2397-3129

  • e-ISSN

  • Volume of the periodical

    8

  • Issue of the periodical within the volume

    July 2023

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    66

  • Pages from-to

    da.83253

  • UT code for WoS article

    001038207600001

  • EID of the result in the Scopus database

    2-s2.0-85171631393