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  • Beldiceanu, Nicolas (author)

An O(n log n) Bound Consistency Algorithm for the Conjunction of an alldifferent and an Inequality between a Sum of Variables and a Constant, and its Generalization

  • 13
  • Article/chapterEnglish2012

Publisher, publication year, extent ...

  • IOS Press,2012
  • printrdacarrier

Numbers

  • LIBRIS-ID:oai:DiVA.org:ri-24092
  • https://urn.kb.se/resolve?urn=urn:nbn:se:ri:diva-24092URI
  • https://doi.org/10.3233/978-1-61499-098-7-145DOI

Supplementary language notes

  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype
  • Subject category:kon swepub-publicationtype

Notes

  • This paper gives an O(n log n) bound-consistency filtering algorithm for the conjunction alldifferent(V0,V1,…,Vn−1)∧ f(V0)⌖f(V1)⌖…⌖f(Vn−1) ≤ cst, (V0,V1,…,Vn−1,cst ∊ N+), where (N,⌖) is a commutative group, f is a unary function, and both ⌖ and f are monotone increasing. This complexity is equal to the complexity of the bound-consistency algorithm of the alldifferent constraint.

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  • Carlsson, MatsRISE,Computer Systems Laboratory(Swepub:ri)MatsCa@ri.se (author)
  • Petit, Thierry (author)
  • Régin, Jean-Charles (author)
  • RISEComputer Systems Laboratory (creator_code:org_t)

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