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.ICALP.2022.6
URN: urn:nbn:de:0030-drops-163473
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/16347/
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Thomassé, Stéphan

A Brief Tour in Twin-Width (Invited Talk)

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LIPIcs-ICALP-2022-6.pdf (0.4 MB)

Abstract

This is an introduction to the notion of twin-width, with emphasis on how it interacts with first-order model checking and enumerative combinatorics. Even though approximating twin-width remains a challenge in general graphs, it is now well understood for ordered graphs, where bounded twin-width coincides with many other complexity gaps. For instance classes of graphs with linear FO-model checking, small classes, or NIP classes are exactly bounded twin-width classes. Some other applications of twin-width are also presented.

BibTeX - Entry

@InProceedings{thomasse:LIPIcs.ICALP.2022.6,
  author =	{Thomass\'{e}, St\'{e}phan},
  title =	{{A Brief Tour in Twin-Width}},
  booktitle =	{49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)},
  pages =	{6:1--6:5},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-235-8},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{229},
  editor =	{Boja\'{n}czyk, Miko{\l}aj and Merelli, Emanuela and Woodruff, David P.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/16347},
  URN =		{urn:nbn:de:0030-drops-163473},
  doi =		{10.4230/LIPIcs.ICALP.2022.6},
  annote =	{Keywords: Twin-width, matrices, ordered graphs, enumerative combinatorics, model theory, algorithms, computational complexity, Ramsey theory}
}

Keywords: Twin-width, matrices, ordered graphs, enumerative combinatorics, model theory, algorithms, computational complexity, Ramsey theory
Collection: 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)
Issue Date: 2022
Date of publication: 28.06.2022

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