Images

From this page, you can get some images of the combinatorial objects
we study. They are available in JPEG (for on-line consultation), in
postscript (which allow infinite zoom and gives high-quality images), and
in gzipped postcript formats (for transfer purpose).
Most of these images have been obtained using software
developped by the group and using Graphviz,
a graph drawing tool from AT&T.
- The tilings of a decagon with lozenges, together with the flip relation,
see [Lat00].
- L_B(15), i.e. the linear partitions of 15 ordered by the dominance
ordering, see [LP99].
- The 15 first levels of the infinite tree T_B(infinity) which contains
exactly the partitions of n at level n, defined in [LP99].
This tree allows the enumeration of the partitions of a given integer in
optimal time with a very simple algorithm.
- R_2(80), i.e. the set of k-uplets (a_i) such that the sum of a_i.2^i
is equal to 80. This is a distributive lattice, and it is equivalent to
a special Chip Firing Game, see [].
- SPM(15), SPM(20) and SPM(40), i.e. the linear Abelian Sandpile Model
started with 15, 20 and 40 grains in the first column, also equivalent
to a special Chip Firing Game, see [LP00]
and [LMMP99].