New tractable classes from old

The constraint satisfaction problem is known to be NP-hard in general, but a number of restrictions of the problem have been identified over the years which ensure tractability. This paper introduces two simple methods of combining two or more tractable classes over disjoint domains, in order to syn...

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Hlavní autoři: Cohen, D, Jeavons, P, Gault, R
Médium: Journal article
Jazyk:English
Vydáno: 2003
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author Cohen, D
Jeavons, P
Gault, R
author_facet Cohen, D
Jeavons, P
Gault, R
author_sort Cohen, D
collection OXFORD
description The constraint satisfaction problem is known to be NP-hard in general, but a number of restrictions of the problem have been identified over the years which ensure tractability. This paper introduces two simple methods of combining two or more tractable classes over disjoint domains, in order to synthesise larger, more expressive tractable classes. We demonstrate that the classes so obtained are genuinely novel, and have not been previously identified. In addition, we use algebraic techniques to extend the tractable classes which we identify, and to show that the algorithms for solving these extended classes can be less than obvious.
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spelling oxford-uuid:97aada12-36bf-450b-9181-b7d0dfd051012022-03-27T00:01:36ZNew tractable classes from oldJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:97aada12-36bf-450b-9181-b7d0dfd05101EnglishSymplectic Elements at Oxford2003Cohen, DJeavons, PGault, RThe constraint satisfaction problem is known to be NP-hard in general, but a number of restrictions of the problem have been identified over the years which ensure tractability. This paper introduces two simple methods of combining two or more tractable classes over disjoint domains, in order to synthesise larger, more expressive tractable classes. We demonstrate that the classes so obtained are genuinely novel, and have not been previously identified. In addition, we use algebraic techniques to extend the tractable classes which we identify, and to show that the algorithms for solving these extended classes can be less than obvious.
spellingShingle Cohen, D
Jeavons, P
Gault, R
New tractable classes from old
title New tractable classes from old
title_full New tractable classes from old
title_fullStr New tractable classes from old
title_full_unstemmed New tractable classes from old
title_short New tractable classes from old
title_sort new tractable classes from old
work_keys_str_mv AT cohend newtractableclassesfromold
AT jeavonsp newtractableclassesfromold
AT gaultr newtractableclassesfromold