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Generalized k-Center: Distinguishing Doubling and Highway Dimension

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10451326" target="_blank" >RIV/00216208:11320/22:10451326 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/978-3-031-15914-5_16" target="_blank" >https://doi.org/10.1007/978-3-031-15914-5_16</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-031-15914-5_16" target="_blank" >10.1007/978-3-031-15914-5_16</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Generalized k-Center: Distinguishing Doubling and Highway Dimension

  • Original language description

    We consider generalizations of the k-CENTER problem in graphs of low doubling and highway dimension. For the CAPACITATED k-SUPPLIER WITH OUTLIERS (CKSWO) problem, we show an efficient parameterized approximation scheme (EPAS) when the parameters are k, the number of outliers and the doubling dimension of the supplier set. On the other hand, we show that for the CAPACITATED k-CENTER problem, which is a special case of CKSWO, obtaining a parameterized approximation scheme (PAS) is W[1]-hard when the parameters are k, and the highway dimension. This is the first known example of a problem for which it is hard to obtain a PAS for highway dimension, while simultaneously admitting an EPAS for doubling dimension.

  • 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

    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

    2022

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE (WG 2022)

  • ISBN

    978-3-031-15913-8

  • ISSN

    0302-9743

  • e-ISSN

    1611-3349

  • Number of pages

    15

  • Pages from-to

    215-229

  • Publisher name

    SPRINGER INTERNATIONAL PUBLISHING AG

  • Place of publication

    CHAM

  • Event location

    Tubingen

  • Event date

    Jun 22, 2022

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000866013700016