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Bowtie-free graphs have a Ramsey lift

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10387188" target="_blank" >RIV/00216208:11320/18:10387188 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0196885818300046" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0196885818300046</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.aam.2017.12.005" target="_blank" >10.1016/j.aam.2017.12.005</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Bowtie-free graphs have a Ramsey lift

  • Original language description

    A bowtie is a graph consisting of two triangles with one vertex identified. We show that the class of all (finite) graphs not containing a bowtie as a subgraph has a Ramsey lift (expansion). This solves one of the old problems in the area and it is the first Ramsey class with a non-trivial algebraic closure.

  • 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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Advances in Applied Mathematics

  • ISSN

    0196-8858

  • e-ISSN

  • Volume of the periodical

    96

  • Issue of the periodical within the volume

    neuveden

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    26

  • Pages from-to

    286-311

  • UT code for WoS article

    000428096300010

  • EID of the result in the Scopus database

    2-s2.0-85041425820