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Hypergraphs with Minimum Positive Uniform Turán Density

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F21%3A00125999" target="_blank" >RIV/00216224:14330/21:00125999 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-030-83823-2_24" target="_blank" >http://dx.doi.org/10.1007/978-3-030-83823-2_24</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-83823-2_24" target="_blank" >10.1007/978-3-030-83823-2_24</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Hypergraphs with Minimum Positive Uniform Turán Density

  • Original language description

    Reiher, Rödl and Schacht [J. London Math. Soc. 97 (2018), 77–97] showed that the uniform Turán density of every 3-uniform hypergraph is either 0 or at least 1/27, and asked whether there exist 3-uniform hypergraphs with uniform Turán density equal or arbitrarily close to 1/27. We construct 3-uniform hypergraphs with uniform Turán density equal to 1/27.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Trends in Mathematics, Volume 14, Extended Abstracts of EuroComb 2021, European Conference on Combinatorics, Graph Theory and Applications

  • ISBN

    9783030838225

  • ISSN

    2297-0215

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    148-153

  • Publisher name

    Birkhäuser

  • Place of publication

    Barcelona

  • Event location

    Barcelona

  • Event date

    Jan 1, 2021

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article