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
Authors/Creators: |
|
||||
---|---|---|---|---|---|
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: |
|
||||
Institution: | The University of Leeds | ||||
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) | ||||
Funding Information: |
|
||||
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: | https://doi.org/10.4230/LIPIcs.IPEC.2023.7 |
Download
Filename: Treewidth is NP-Complete on Cubic Graphs.pdf
Licence: CC-BY 4.0