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Description
  • The Algebraic Dichotomy Conjecture states that the Constraint Satisfaction Problem over a fixed template is solvable in polynomial time if the algebra of polymorphisms associated to the template lies in a Taylor variety, and is NP-complete otherwise. This paper provides two new characterizations of finitely generated Taylor varieties. The first characterization is using absorbing subalgebras and the second one cyclic terms. These new conditions allow us to reprove the conjecture of Bang-Jensen and Hell (proved by the authors) and the characterization of locally finite Taylor varieties using weak near-unanimity terms (proved by McKenzie and Maroti) in an elementary and self-contained way.
  • The Algebraic Dichotomy Conjecture states that the Constraint Satisfaction Problem over a fixed template is solvable in polynomial time if the algebra of polymorphisms associated to the template lies in a Taylor variety, and is NP-complete otherwise. This paper provides two new characterizations of finitely generated Taylor varieties. The first characterization is using absorbing subalgebras and the second one cyclic terms. These new conditions allow us to reprove the conjecture of Bang-Jensen and Hell (proved by the authors) and the characterization of locally finite Taylor varieties using weak near-unanimity terms (proved by McKenzie and Maroti) in an elementary and self-contained way. (en)
Title
  • ABSORBING SUBALGEBRAS, CYCLIC TERMS, AND THE CONSTRAINT SATISFACTION PROBLEM
  • ABSORBING SUBALGEBRAS, CYCLIC TERMS, AND THE CONSTRAINT SATISFACTION PROBLEM (en)
skos:prefLabel
  • ABSORBING SUBALGEBRAS, CYCLIC TERMS, AND THE CONSTRAINT SATISFACTION PROBLEM
  • ABSORBING SUBALGEBRAS, CYCLIC TERMS, AND THE CONSTRAINT SATISFACTION PROBLEM (en)
skos:notation
  • RIV/00216208:11320/12:10127443!RIV13-GA0-11320___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GP201/09/P223), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 120798
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  • RIV/00216208:11320/12:10127443
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  • absorbing subalgebra; cyclic term; Taylor variety; Constraint Satisfaction Problem (en)
http://linked.open.../riv/klicoveSlovo
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [104468D36C60]
http://linked.open...i/riv/nazevZdroje
  • Logical Methods in Computer Science
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http://linked.open...v/svazekPeriodika
  • 8
http://linked.open...iv/tvurceVysledku
  • Barto, Libor
  • Kozik, Marcin
http://linked.open...ain/vavai/riv/wos
  • 000302505000007
http://linked.open...n/vavai/riv/zamer
issn
  • 1860-5974
number of pages
http://bibframe.org/vocab/doi
  • 10.2168/LMCS-8(1:07)2012
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  • 11320
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