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Fast bound consistency for the global cardinality constraint

Katriel, Irit and Thiel, Sven

MPI-I-2003-1-013. September 2003, 30 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We show an algorithm for bound consistency of {\em global cardinality
constraints}, which runs in time $O(n+n')$ plus the time required to sort
assignment variables by range endpoints, where $n$ is the number of
variables and $n'$ is the number of values in the union of their ranges.
thus offer a fast alternative to R\'egin's
arc consistency algorithm~\cite{Regin} which runs
in time $O(n^{3/2}n')$ and space $O(n\cdot n')$. Our algorithm
also achieves bound consistency for the number of occurrences
of each value, which has not been done before.
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  AUTHOR = {Katriel, Irit and Thiel, Sven},
  TITLE = {Fast bound consistency for the global cardinality constraint},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-2003-1-013},
  MONTH = {September},
  YEAR = {2003},
  ISSN = {0946-011X},