Sidestepping Barriers for Dominating Set in Parameterized Complexity

Ioannis Koutis; Michał Włodarczyk; Meirav Zehavi

doi:10.4230/LIPIcs.IPEC.2023.31

Sidestepping Barriers for Dominating Set in Parameterized Complexity

Ioannis Koutis
, Michał Włodarczyk
, Meirav Zehavi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We study the classic Dominating Set problem with respect to several prominent parameters. Specifically, we present algorithmic results that sidestep time complexity barriers by the incorporation of either approximation or larger parameterization. Our results span several parameterization regimes, including: (i,ii,iii) time/ratio-tradeoff for the parameters treewidth, vertex modulator to constant treewidth and solution size; (iv,v) FPT-algorithms for the parameters vertex cover number and feedback edge set number; and (vi) compression for the parameter feedback edge set number.

Original language	English
Title of host publication	18th International Symposium on Parameterized and Exact Computation, IPEC 2023
Editors	Neeldhara Misra, Magnus Wahlstrom
Publisher	Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN (Electronic)	9783959773058
DOIs	https://doi.org/10.4230/LIPIcs.IPEC.2023.31
State	Published - 1 Dec 2023
Event	18th International Symposium on Parameterized and Exact Computation, IPEC 2023 - Amsterdam, Netherlands Duration: 6 Sep 2023 → 8 Sep 2023

Publication series

Name	Leibniz International Proceedings in Informatics, LIPIcs
Volume	285
ISSN (Print)	1868-8969

Conference

Conference	18th International Symposium on Parameterized and Exact Computation, IPEC 2023
Country/Territory	Netherlands
City	Amsterdam
Period	6/09/23 → 8/09/23

Keywords

Approximation Algorithms
Dominating Set
Parameterized Complexity

ASJC Scopus subject areas

Software

Access to Document

10.4230/LIPIcs.IPEC.2023.31

Cite this

Koutis, I., Włodarczyk, M., & Zehavi, M. (2023). Sidestepping Barriers for Dominating Set in Parameterized Complexity. In N. Misra, & M. Wahlstrom (Eds.), 18th International Symposium on Parameterized and Exact Computation, IPEC 2023 Article 31 (Leibniz International Proceedings in Informatics, LIPIcs; Vol. 285). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. https://doi.org/10.4230/LIPIcs.IPEC.2023.31

Koutis, Ioannis ; Włodarczyk, Michał ; Zehavi, Meirav. / Sidestepping Barriers for Dominating Set in Parameterized Complexity. 18th International Symposium on Parameterized and Exact Computation, IPEC 2023. editor / Neeldhara Misra ; Magnus Wahlstrom. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2023. (Leibniz International Proceedings in Informatics, LIPIcs).

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title = "Sidestepping Barriers for Dominating Set in Parameterized Complexity",

abstract = "We study the classic Dominating Set problem with respect to several prominent parameters. Specifically, we present algorithmic results that sidestep time complexity barriers by the incorporation of either approximation or larger parameterization. Our results span several parameterization regimes, including: (i,ii,iii) time/ratio-tradeoff for the parameters treewidth, vertex modulator to constant treewidth and solution size; (iv,v) FPT-algorithms for the parameters vertex cover number and feedback edge set number; and (vi) compression for the parameter feedback edge set number.",

keywords = "Approximation Algorithms, Dominating Set, Parameterized Complexity",

author = "Ioannis Koutis and Micha{\l} W{\l}odarczyk and Meirav Zehavi",

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language = "English",

series = "Leibniz International Proceedings in Informatics, LIPIcs",

publisher = "Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing",

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Koutis, I, Włodarczyk, M & Zehavi, M 2023, Sidestepping Barriers for Dominating Set in Parameterized Complexity. in N Misra & M Wahlstrom (eds), 18th International Symposium on Parameterized and Exact Computation, IPEC 2023., 31, Leibniz International Proceedings in Informatics, LIPIcs, vol. 285, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 18th International Symposium on Parameterized and Exact Computation, IPEC 2023, Amsterdam, Netherlands, 6/09/23. https://doi.org/10.4230/LIPIcs.IPEC.2023.31

Sidestepping Barriers for Dominating Set in Parameterized Complexity. / Koutis, Ioannis; Włodarczyk, Michał; Zehavi, Meirav.
18th International Symposium on Parameterized and Exact Computation, IPEC 2023. ed. / Neeldhara Misra; Magnus Wahlstrom. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2023. 31 (Leibniz International Proceedings in Informatics, LIPIcs; Vol. 285).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Włodarczyk, Michał

AU - Zehavi, Meirav

PY - 2023/12/1

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N2 - We study the classic Dominating Set problem with respect to several prominent parameters. Specifically, we present algorithmic results that sidestep time complexity barriers by the incorporation of either approximation or larger parameterization. Our results span several parameterization regimes, including: (i,ii,iii) time/ratio-tradeoff for the parameters treewidth, vertex modulator to constant treewidth and solution size; (iv,v) FPT-algorithms for the parameters vertex cover number and feedback edge set number; and (vi) compression for the parameter feedback edge set number.

AB - We study the classic Dominating Set problem with respect to several prominent parameters. Specifically, we present algorithmic results that sidestep time complexity barriers by the incorporation of either approximation or larger parameterization. Our results span several parameterization regimes, including: (i,ii,iii) time/ratio-tradeoff for the parameters treewidth, vertex modulator to constant treewidth and solution size; (iv,v) FPT-algorithms for the parameters vertex cover number and feedback edge set number; and (vi) compression for the parameter feedback edge set number.

KW - Approximation Algorithms

KW - Dominating Set

KW - Parameterized Complexity

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U2 - 10.4230/LIPIcs.IPEC.2023.31

DO - 10.4230/LIPIcs.IPEC.2023.31

M3 - Conference contribution

AN - SCOPUS:85180546134

T3 - Leibniz International Proceedings in Informatics, LIPIcs

BT - 18th International Symposium on Parameterized and Exact Computation, IPEC 2023

A2 - Misra, Neeldhara

A2 - Wahlstrom, Magnus

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Koutis I, Włodarczyk M, Zehavi M. Sidestepping Barriers for Dominating Set in Parameterized Complexity. In Misra N, Wahlstrom M, editors, 18th International Symposium on Parameterized and Exact Computation, IPEC 2023. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. 2023. 31. (Leibniz International Proceedings in Informatics, LIPIcs). doi: 10.4230/LIPIcs.IPEC.2023.31

Sidestepping Barriers for Dominating Set in Parameterized Complexity

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Keywords

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