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)


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.


Arithmetic Operation Computational Aspect Small Instance Integer Partition Discrete Convolution 
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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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