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URN: urn:nbn:de:0030-drops-8040
URL: http://drops.dagstuhl.de/opus/volltexte/2006/804/

Schnoor, Henning ; Schnoor, Ilka

Enumerating all Solutions for Constraint Satisfaction Problems

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Abstract

We contribute to the study of efficient enumeration algorithms for all solutions of constraint satisfaction problems. The only algorithm known so far, presented by Creignou and Hébrard and generalized by Cohen, reduces the enumeration problem for a constraint language $Gamma$ to the decision problem for a slightly enlarged constraint language $Gamma^+,$ i.e., it yields an efficient enumeration algorithm for the case where $mathrm{CSP}(Gamma^+)$ is tractable. We develop a new class of algorithms, yielding efficient enumeration algorithms for a broad class of constraint languages. For the three-element domain, we achieve a first step towards a dichotomy theorem for the enumeration problem.

BibTeX - Entry

@InProceedings{schnoor_et_al:DSP:2006:804,
  author =	{Henning Schnoor and Ilka Schnoor},
  title =	{Enumerating all Solutions for Constraint Satisfaction Problems},
  booktitle =	{Complexity of Constraints},
  year =	{2006},
  editor =	{Nadia Creignou and Phokion Kolaitis and Heribert Vollmer},
  number =	{06401},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2006/804},
  annote =	{Keywords: Complexity, constraint satisfaction, enumeration}
}

Keywords: Complexity, constraint satisfaction, enumeration
Seminar: 06401 - Complexity of Constraints
Issue date: 2006
Date of publication: 15.11.2006


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