Mathematics – Combinatorics
Scientific paper
2000-08-02
Proceedings of the 12th International Conference SFCA/FPSAC'00, Springer (publisher), D.Krob, A.A.Mikhalev and A.V.Mikhalev (E
Mathematics
Combinatorics
See http://www.liafa.jussieu.fr/~latapy/
Scientific paper
In this paper, we study two kinds of combinatorial objects, generalized integer partitions and tilings of two dimensional zonotopes, using dynamical systems and order theory. We show that the sets of partitions ordered with a simple dynamics, have the distributive lattice structure. Likewise, we show that the set of tilings of zonotopes, ordered with a simple and classical dynamics, is the disjoint union of distributive lattices which we describe. We also discuss the special case of linear integer partitions, for which other dynamical systems exist. These results give a better understanding of the behaviour of tilings of zonotopes with flips and dynamical systems involving partitions.
Latapy Matthieu
No associations
LandOfFree
Generalized Integer Partitions, Tilings of Zonotopes and Lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Generalized Integer Partitions, Tilings of Zonotopes and Lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Integer Partitions, Tilings of Zonotopes and Lattices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-403173