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URN: urn:nbn:de:0030-drops-125106
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Graph Isomorphism in Quasipolynomial Time Parameterized by Treewidth

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Abstract

We extend Babai’s quasipolynomial-time graph isomorphism test (STOC 2016) and develop a quasipolynomial-time algorithm for the multiple-coset isomorphism problem. The algorithm for the multiple-coset isomorphism problem allows to exploit graph decompositions of the given input graphs within Babai’s group-theoretic framework. We use it to develop a graph isomorphism test that runs in time n^polylog(k) where n is the number of vertices and k is the minimum treewidth of the given graphs and polylog(k) is some polynomial in log(k). Our result generalizes Babai’s quasipolynomial-time graph isomorphism test.

BibTeX - Entry

@InProceedings{wiebking:LIPIcs:2020:12510,
  author =	{Daniel Wiebking},
  title =	{{Graph Isomorphism in Quasipolynomial Time Parameterized by Treewidth}},
  booktitle =	{47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)},
  pages =	{103:1--103:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-138-2},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{168},
  editor =	{Artur Czumaj and Anuj Dawar and Emanuela Merelli},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12510},
  URN =		{urn:nbn:de:0030-drops-125106},
  doi =		{10.4230/LIPIcs.ICALP.2020.103},
  annote =	{Keywords: Graph isomorphism, canonization, treewidth, hypergraphs}
}

Keywords: Graph isomorphism, canonization, treewidth, hypergraphs
Seminar: 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)
Issue date: 2020
Date of publication: 29.06.2020


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