MPI-I-2003-1-013
Fast bound consistency for the global cardinality constraint
Katriel, Irit and Thiel, Sven
September 2003, 30 pages.
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Status: available - back from printing
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
the
assignment variables by range endpoints, where $n$ is the number of
assignment
variables and $n'$ is the number of values in the union of their ranges.
We
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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- Attachement: MPI-I-2003-1-013.ps (421 KBytes)
URL to this document: https://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/2003-1-013
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