Partitions of an Integer into Powers
Latapy, Matthieu
HAL, hal-01182959 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-07-04
Classification:  Integer partition,  Composition,  Lattice,  Distributive Lattice,  Discrete Dynamical Models,  Chip Firing Game,  [INFO]Computer Science [cs],  [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM],  [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG],  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-01182959,
     author = {Latapy, Matthieu},
     title = {Partitions of an Integer into Powers},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01182959}
}

Latapy, Matthieu. Partitions of an Integer into Powers. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-01182959/