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1 LIAFA - Laboratoire d-informatique Algorithmique : Fondements et Applications

Abstract : In this paper, we use a simple discrete dynamical model to study partitions of integers into powers of another integer. We extend and generalize some known results about their enumeration and counting, and we give new structural results. In particular, we show that the set of these partitions can be ordered in a natural way which gives the distributive lattice structure to this set. We also give a tree structure which allow efficient and simple enumeration of the partitions of an integer.

Keywords : Integer partition Composition Lattice Distributive Lattice Discrete Dynamical Models Chip Firing Game

Author: Matthieu Latapy -



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