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URN: urn:nbn:de:0030-drops-8030
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Constraint satisfaction problems in clausal form: Autarkies, minimal unsatisfiability, and applications to hypergraph inequalities

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Abstract

Generalised CNFs are considered using such literals, which exclude exactly one possible value from the domain of the variable. First we consider poly-time SAT decision (and fixed-parameter tractability) exploiting matching theory. Then we consider
irredundant generalised CNFs, and characterise some extremal minimally
unsatisfiable CNFs.


BibTeX - Entry

@InProceedings{kullmann:DagSemProc.06401.4,
  author =	{Kullmann, Oliver},
  title =	{{Constraint satisfaction problems in clausal form: Autarkies, minimal unsatisfiability, and applications to hypergraph inequalities}},
  booktitle =	{Complexity of Constraints},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6401},
  editor =	{Nadia Creignou and Phokion Kolaitis and Heribert Vollmer},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2006/803},
  URN =		{urn:nbn:de:0030-drops-8030},
  doi =		{10.4230/DagSemProc.06401.4},
  annote =	{Keywords: Signed CNF, autarkies, minimal unsatisfiable, hypergraph colouring, block designs}
}

Keywords: Signed CNF, autarkies, minimal unsatisfiable, hypergraph colouring, block designs
Seminar: 06401 - Complexity of Constraints
Issue date: 2006
Date of publication: 15.11.2006


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