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Parameterized Algorithms for Book Embedding Problems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F19%3A00113724" target="_blank" >RIV/00216224:14330/19:00113724 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007%2F978-3-030-35802-0_28" target="_blank" >https://link.springer.com/chapter/10.1007%2F978-3-030-35802-0_28</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-35802-0_28" target="_blank" >10.1007/978-3-030-35802-0_28</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Parameterized Algorithms for Book Embedding Problems

  • Original language description

    A k-page book embedding of a graph G draws the vertices of G on a line and the edges on k half-planes (called pages) bounded by this line, such that no two edges on the same page cross. We study the problem of determining whether G admits a k-page book embedding both when the linear order of the vertices is fixed, called Fixed-Order Book Thickness, or not fixed, called Book Thickness. Both problems are known to be NP -complete in general. We show that Fixed-Order Book Thickness and Book Thickness are fixed-parameter tractable parameterized by the vertex cover number of the graph and that Fixed-Order Book Thickness is fixed-parameter tractable parameterized by the pathwidth of the vertex order.

  • 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

    2019

  • 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 Drawing and Network Visualization - 27th International Symposium, GD 2019

  • ISBN

    9783030358013

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    14

  • Pages from-to

    365-378

  • Publisher name

    Springer

  • Place of publication

    USA

  • Event location

    Praha

  • Event date

    Jan 1, 2019

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000612918800028