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When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2011.12
URN: urn:nbn:de:0030-drops-29960
URL: http://drops.dagstuhl.de/opus/volltexte/2011/2996/
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Aschinger, Markus ; Drescher, Conrad ; Gottlob, Georg ; Jeavons, Peter ; Thorstensen, Evgenij

Structural Decomposition Methods and What They are Good For

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Abstract

This paper reviews structural problem decomposition methods, such as tree and path decompositions. It is argued that these notions can be applied in two distinct ways: Either to show that a problem is efficiently solvable when a width parameter is fixed, or to prove that the unrestricted (or some width-parameter free) version of a problem is tractable by using a width-notion as a mathematical tool for directly solving the problem at hand. Examples are given for both cases. As a new showcase for the latter usage, we report some recent results on the Partner Units Problem, a form of configuration problem arising in an industrial context. We use the notion of a path decomposition to identify and solve a tractable class of instances of this problem with practical relevance.

BibTeX - Entry

@InProceedings{aschinger_et_al:LIPIcs:2011:2996,
  author =	{Markus Aschinger and Conrad Drescher and Georg Gottlob and Peter Jeavons and Evgenij Thorstensen},
  title =	{{Structural Decomposition Methods and What They are Good For}},
  booktitle =	{28th International Symposium on Theoretical Aspects of Computer Science (STACS 2011) },
  pages =	{12--28},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-25-5},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{9},
  editor =	{Thomas Schwentick and Christoph D{\"u}rr},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2011/2996},
  URN =		{urn:nbn:de:0030-drops-29960},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.STACS.2011.12},
  annote =	{Keywords: decompositions}
}

Keywords: decompositions
Seminar: 28th International Symposium on Theoretical Aspects of Computer Science (STACS 2011)
Issue Date: 2011
Date of publication: 11.03.2011


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