License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.SWAT.2022.22
URN: urn:nbn:de:0030-drops-161823
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/16182/
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Dvořák, Zdeněk

Approximation Metatheorems for Classes with Bounded Expansion

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LIPIcs-SWAT-2022-22.pdf (0.8 MB)

Abstract

We give a number of approximation metatheorems for monotone maximization problems expressible in the first-order logic, in substantially more general settings than previously known. We obtain
- a constant-factor approximation algorithm in any class of graphs with bounded expansion,
- a QPTAS in any class with strongly sublinear separators, and
- a PTAS in any fractionally treewidth-fragile class (which includes all common classes with strongly sublinear separators).
Moreover, our tools also give an exact subexponential-time algorithm in any class with strongly sublinear separators.

BibTeX - Entry

@InProceedings{dvorak:LIPIcs.SWAT.2022.22,
  author =	{Dvo\v{r}\'{a}k, Zden\v{e}k},
  title =	{{Approximation Metatheorems for Classes with Bounded Expansion}},
  booktitle =	{18th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2022)},
  pages =	{22:1--22:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-236-5},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{227},
  editor =	{Czumaj, Artur and Xin, Qin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/16182},
  URN =		{urn:nbn:de:0030-drops-161823},
  doi =		{10.4230/LIPIcs.SWAT.2022.22},
  annote =	{Keywords: bounded expansion, approximation, meta-algorithms}
}

Keywords: bounded expansion, approximation, meta-algorithms
Collection: 18th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2022)
Issue Date: 2022
Date of publication: 22.06.2022

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