Ordyniak, S. orcid.org/0000-0003-1935-651X, Bodlaender, H., Bonnet, É et al. (6 more authors) (2023) Treewidth is NP-Complete on Cubic Graphs. In: Dagstuhl Reports. IPEC 2023: International Symposium on Parameterized and Exact Computation, 06-08 Sep 2023, Amsterdam, Netherlands. Leibniz International Proceedings in Informatics (LIPIcs), 285 . Schloss Dagstuhl - Leibniz-Zentrum für Informatik , Wadern, Merzig-Wadern, Saarland , 7:1-7:13. ISBN 978-3-95977-305-8
Abstract
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.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Hans L. Bodlaender, Édouard Bonnet, Lars Jaffke, Dušan Knop, Paloma T. Lima, Martin Milanič, Sebastian Ordyniak, Sukanya Pandey, and Ondřej Suchý; licensed under Creative Commons License CC-BY 4.0 . |
Keywords: | Treewidth, cubic graphs, degree, NP-completeness |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/V00252X/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 10 Aug 2023 09:28 |
Last Modified: | 16 Feb 2024 11:30 |
Published Version: | https://drops.dagstuhl.de/entities/document/10.423... |
Status: | Published |
Publisher: | Schloss Dagstuhl - Leibniz-Zentrum für Informatik |
Series Name: | Leibniz International Proceedings in Informatics (LIPIcs) |
Identification Number: | 10.4230/LIPIcs.IPEC.2023.7 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:202297 |
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