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Partitioning Graphs into Induced Subgraphs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10366359" target="_blank" >RIV/00216208:11320/17:10366359 - isvavai.cz</a>

  • Result on the web

    <a href="https://arxiv.org/abs/1508.04725" target="_blank" >https://arxiv.org/abs/1508.04725</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-53733-7_25" target="_blank" >10.1007/978-3-319-53733-7_25</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Partitioning Graphs into Induced Subgraphs

  • Original language description

    We study the Partition into H problem from the parametrized complexity point of view. In the Partition into H problem the task is to partition the vertices of a graph G into sets V1,...,Vr such that the graph H is isomorphic to the subgraph of G induced by each set Vi for i=1,...,r. The pattern graph H is fixed. For the parametrization we consider three distinct structural parameters of the graph G - namely the tree-width, the neighborhood diversity, and the modular-width. For the parametrization by the neighborhood diversity we obtain an FPT algorithm for every graph H. For the parametrization by the tree-width we obtain an FPT algorithm for every connected graph H. Thus resolving an open question of Gajarský et al. from IPEC 2013. Finally, for the parametrization by the modular-width we derive an FPT algorithm for every prime graph H.

  • 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

    <a href="/en/project/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Center of excellence - Institute for theoretical computer science (CE-ITI)</a><br>

  • Continuities

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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Language and Automata Theory and Applications

  • ISBN

    978-3-319-53732-0

  • ISSN

  • e-ISSN

    neuvedeno

  • Number of pages

    13

  • Pages from-to

    338-350

  • Publisher name

    Springer International Publishing AG 2017

  • Place of publication

    Neuveden

  • Event location

    Umea

  • Event date

    Mar 6, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article