Computational Aspects of Ordered Integer Partition with Upper Bounds

  • Roland Glück
  • Dominik Köppl
  • Günther Wirsching
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7933)

Abstract

We propose a novel algorithm for computing the number of ordered integer partitions with upper bounds. This problem’s task is to compute the number of distributions of z balls into n urns with constrained capacities \(i_1,\hdots,i_n\) (see [10]). Besides the fact that this elementary urn problem has no known combinatoric solution, it is interesting because of its applications in the theory of database preferences as described in [3] and [9]. The running time of our algorithm depends only on the number of urns and not on their capacities as in other previously known algorithms.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Roland Glück
    • 1
  • Dominik Köppl
    • 1
  • Günther Wirsching
    • 2
  1. 1.Universität AugsburgAugsburgGermany
  2. 2.Katholische Universität EichstättEichstättGermany

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