## Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001

### Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.)

### DMTCS Conference Volume AA (2001), pp. 215-228

author: | Matthieu Latapy |
---|---|

title: | Partitions of an Integer into Powers |

keywords: | Integer partition, Composition, Lattice, Distributive Lattice, Discrete Dynamical Models, Chip Firing Game |

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. |

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reference: | Matthieu Latapy (2001),
Partitions of an Integer into Powers, in Discrete Models:
Combinatorics, Computation, and Geometry, DM-CCG 2001,
Robert Cori and Jacques Mazoyer and Michel Morvan and
Rémy Mosseri (eds.), Discrete Mathematics and
Theoretical Computer Science Proceedings AA, pp.
215-228 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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