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On the Geometric Ramsey Number of Outerplanar Graphs

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    SYSNO ASEP0479815
    Document TypeJ - Journal Article
    R&D Document TypeThe record was not marked in the RIV
    Subsidiary JČlánek ve WOS
    TitleOn the Geometric Ramsey Number of Outerplanar Graphs
    Author(s) Cibulka, J. (CZ)
    Gao, P. (DE)
    Krčál, Marek (UIVT-O)
    Valla, T. (CZ)
    Valtr, P. (CZ)
    Number of authors5
    Source TitleDiscrete & Computational Geometry. - : Springer - ISSN 0179-5376
    Roč. 53, č. 1 (2015), s. 64-79
    Languageeng - English
    CountryUS - United States
    Keywordsminors ; Geometric Ramsey theory ; Outerplanar graph ; Ordered Ramsey theory ; Pathwidth
    UT WOS000346774600005
    EID SCOPUS84925491730
    DOI10.1007/s00454-014-9646-x
    AnnotationWe prove polynomial upper bounds of geometric Ramsey numbers of pathwidth- outerplanar triangulations in both convex and general cases. We also prove that the geometric Ramsey numbers of the ladder graph on vertices are bounded by and , in the convex and general case, respectively. We then apply similar methods to prove an upper bound on the Ramsey number of a path with ordered vertices.
    WorkplaceInstitute of Computer Science
    ContactTereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
    Year of Publishing2018
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