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Treewidth Is NP-Complete on Cubic Graphs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F23%3A00371865" target="_blank" >RIV/68407700:21240/23:00371865 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.4230/LIPIcs.IPEC.2023.7" target="_blank" >https://doi.org/10.4230/LIPIcs.IPEC.2023.7</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4230/LIPIcs.IPEC.2023.7" target="_blank" >10.4230/LIPIcs.IPEC.2023.7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Treewidth Is NP-Complete on Cubic Graphs

  • Original language description

    In this paper, we show that Treewidth is NP-complete for cubic graphs, thereby improving the result by Bodlaender and Thilikos from 1997 that Treewidth is NP-complete on graphs with maximum degree at most 9. We add a new and simpler proof of the NP-completeness of treewidth, and show that Treewidth remains NP-complete on subcubic induced subgraphs of the infinite 3-dimensional grid.

  • 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/GA22-19557S" target="_blank" >GA22-19557S: New Frontiers in Computational Social Choice</a><br>

  • Continuities

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

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the 18th International Symposium on Parameterized and Exact Computation

  • ISBN

    978-3-95977-305-8

  • ISSN

    1868-8969

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    "7:1"-"7:13"

  • Publisher name

    Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik

  • Place of publication

    Dagstuhl

  • Event location

    Amsterdam

  • Event date

    Sep 6, 2023

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article