Skip to Main content Skip to Navigation
Conference papers

Partitions of an Integer into Powers

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.
Complete list of metadata

Cited literature [16 references]  Display  Hide  Download
Contributor : Coordination Episciences Iam <>
Submitted on : Thursday, August 6, 2015 - 10:00:12 AM
Last modification on : Friday, March 27, 2020 - 3:45:37 AM
Long-term archiving on: : Friday, May 5, 2017 - 12:29:54 PM


Publisher files allowed on an open archive


  • HAL Id : hal-01182959, version 1



Matthieu Latapy. Partitions of an Integer into Powers. Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001, 2001, Paris, France. pp.215-228. ⟨hal-01182959⟩



Record views


Files downloads