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DOI: 10.4230/LIPIcs.FSTTCS.2010.327

Colored Hypergraph Isomorphism is Fixed Parameter Tractable

Authors: V. Arvind, Bireswar Das, Johannes Köbler, and Seinosuke Toda

Published in: LIPIcs, Volume 8, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010)

Abstract

We describe a fixed parameter tractable (fpt) algorithm for Colored Hypergraph Isomorphism} which has running time $2^{O(b)}N^{O(1)}$, where the parameter $b$ is the maximum size of the color classes of the given hypergraphs and $N$ is the input size. We also describe fpt algorithms for certain permutation group problems that are used as subroutines in our algorithm.

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V. Arvind, Bireswar Das, Johannes Köbler, and Seinosuke Toda. Colored Hypergraph Isomorphism is Fixed Parameter Tractable. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010). Leibniz International Proceedings in Informatics (LIPIcs), Volume 8, pp. 327-337, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{arvind_et_al:LIPIcs.FSTTCS.2010.327,
  author =	{Arvind, V. and Das, Bireswar and K\"{o}bler, Johannes and Toda, Seinosuke},
  title =	{{Colored Hypergraph Isomorphism is Fixed Parameter Tractable}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010)},
  pages =	{327--337},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-23-1},
  ISSN =	{1868-8969},
  year =	{2010},
  volume =	{8},
  editor =	{Lodaya, Kamal and Mahajan, Meena},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2010.327},
  URN =		{urn:nbn:de:0030-drops-28751},
  doi =		{10.4230/LIPIcs.FSTTCS.2010.327},
  annote =	{Keywords: Fixed parameter tractability, fpt algorithms, graph isomorphism, computational complexity}
}

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Colored Hypergraph Isomorphism is Fixed Parameter Tractable

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