License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2016.32
URN: urn:nbn:de:0030-drops-57336
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/5733/
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Elberfeld, Michael ; Schweitzer, Pascal

Canonizing Graphs of Bounded Tree Width in Logspace

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Abstract

Graph canonization is the problem of computing a unique representative, a canon, from the isomorphism class of a given graph. This implies that two graphs are isomorphic exactly if their canons are equal. We show that graphs of bounded tree width can be canonized in deterministic logarithmic space (logspace). This implies that the isomorphism problem for graphs of bounded tree width can be decided in logspace. In the light of isomorphism for trees being hard for the complexity class logspace, this makes the ubiquitous classes of graphs of bounded tree width one of the few classes of graphs for which the complexity of the isomorphism problem has been exactly determined.

BibTeX - Entry

@InProceedings{elberfeld_et_al:LIPIcs:2016:5733,
  author =	{Michael Elberfeld and Pascal Schweitzer},
  title =	{{Canonizing Graphs of Bounded Tree Width in Logspace}},
  booktitle =	{33rd Symposium on Theoretical Aspects of Computer Science (STACS 2016)},
  pages =	{32:1--32:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-001-9},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{47},
  editor =	{Nicolas Ollinger and Heribert Vollmer},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/5733},
  URN =		{urn:nbn:de:0030-drops-57336},
  doi =		{10.4230/LIPIcs.STACS.2016.32},
  annote =	{Keywords: algorithmic graph theory, computational complexity, graph isomorphism, logspace, tree width}
}

Keywords: algorithmic graph theory, computational complexity, graph isomorphism, logspace, tree width
Collection: 33rd Symposium on Theoretical Aspects of Computer Science (STACS 2016)
Issue Date: 2016
Date of publication: 16.02.2016

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