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Description
  • For a digraph H, the Constraint Satisfaction Problem with template H, or CSP(H), is the problem of deciding whether a given input digraph G admits a homomorphism to H. The CSP dichotomy conjecture of Feder and Vardi states that for any digraph H, CSP(H) is either in P or NP-complete. Barto, Kozik, Maroti and Niven (Proc. Amer. Math. Soc. 137 (2009) 2921-2934) confirmed the conjecture for a class of oriented trees called special triads. We generalize this result, establishing the dichotomy for a class of oriented trees which we call special polyads. We prove that every tractable special polyad has bounded width and provide the description of special polyads of width 1. We also construct a tractable special polyad which neither has width 1 nor admits any near-unanimity polymorphism.
  • For a digraph H, the Constraint Satisfaction Problem with template H, or CSP(H), is the problem of deciding whether a given input digraph G admits a homomorphism to H. The CSP dichotomy conjecture of Feder and Vardi states that for any digraph H, CSP(H) is either in P or NP-complete. Barto, Kozik, Maroti and Niven (Proc. Amer. Math. Soc. 137 (2009) 2921-2934) confirmed the conjecture for a class of oriented trees called special triads. We generalize this result, establishing the dichotomy for a class of oriented trees which we call special polyads. We prove that every tractable special polyad has bounded width and provide the description of special polyads of width 1. We also construct a tractable special polyad which neither has width 1 nor admits any near-unanimity polymorphism. (en)
Title
  • CSP DICHOTOMY FOR SPECIAL POLYADS
  • CSP DICHOTOMY FOR SPECIAL POLYADS (en)
skos:prefLabel
  • CSP DICHOTOMY FOR SPECIAL POLYADS
  • CSP DICHOTOMY FOR SPECIAL POLYADS (en)
skos:notation
  • RIV/00216208:11320/13:10174135!RIV14-GA0-11320___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(GP201/09/P223), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 5
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 67421
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  • RIV/00216208:11320/13:10174135
http://linked.open...riv/jazykVysledku
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  • special triad; bounded width; graph coloring; Constraint satisfaction problem (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [F2F56D812883]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Algebra and Computation
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  • 23
http://linked.open...iv/tvurceVysledku
  • Barto, Libor
  • Bulín, Jakub
http://linked.open...ain/vavai/riv/wos
  • 000323514700007
http://linked.open...n/vavai/riv/zamer
issn
  • 0218-1967
number of pages
http://bibframe.org/vocab/doi
  • 10.1142/S0218196713500215
http://localhost/t...ganizacniJednotka
  • 11320
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