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UNIFORM TURAN DENSITY OF CYCLES

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F23%3A00133881" target="_blank" >RIV/00216224:14330/23:00133881 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.ams.org/journals/tran/2023-376-07/S0002-9947-2023-08873-0/" target="_blank" >https://www.ams.org/journals/tran/2023-376-07/S0002-9947-2023-08873-0/</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1090/tran/8873" target="_blank" >10.1090/tran/8873</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    UNIFORM TURAN DENSITY OF CYCLES

  • Original language description

    In the early 1980s, Erdos and Sos initiated the study of the classical Turan problem with a uniformity condition: the uniform Turan density of a hypergraph H is the infimum over all d for which any sufficiently large hypergraph with the property that all its linear-size subhypergraphs have density at least d contains H. In particular, they raise the questions of determining the uniform Turan densities of K-4((3)-) and K-4((3)). The former question was solved only recently by Glebov, Kral', and Volec [Israel J. Math. 211 (2016), pp. 349-366] and Reiher, Rodl, and Schacht [J. Eur. Math. Soc. 20 (2018), pp. 1139-1159], while the latter still remains open for almost 40 years. In addition to K-4((3)-), the only 3-uniform hypergraphs whose uniform Turan density is known are those with zero uniform Turan density classified by Reiher, Rodl and Schacht [J. London Math. Soc. 97 (2018), pp. 77-97] and a specific family with uniform Turan density equal to 1/27.

  • 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

  • Continuities

    S - Specificky vyzkum na vysokych skolach<br>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

    Transactions of the American Mathematical Society

  • ISSN

    0002-9947

  • e-ISSN

  • Volume of the periodical

    376

  • Issue of the periodical within the volume

    7

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    45

  • Pages from-to

    4765-4809

  • UT code for WoS article

    000967035900001

  • EID of the result in the Scopus database

    2-s2.0-85160944208