We study the random partitions of a large integer n, under the assumption that all such partitions are equally likely. We use Fristedt's conditioning device which ลฝ . connects the parts summands distribution to the one of a g-sequence, that is, a sequence of independent random variables, each distri
On the Ferrers dimension of a digraph
โ Scribed by Olivier Cogis
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 714 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
The Ferrer-s dimension of a digraph has been shown to be an extension of the order dimension. By proving a property of (finite) transitive Ferrers digraphs, we give an original proof of this above result and derive Ore's alternative definition of the order dimension. Still, the order dimension is proved to be 'polynomially equivalent' to the Ferrers dirneirsion.
๐ SIMILAR VOLUMES
## Abstract If every three circuits of a digraph have a common vertex, then all the circuits have one.
For a digraph G = (V, E) let w(G n ) denote the maximum possible cardinality of a subset S of V n in which for every ordered pair It is also shown that for every n there is a tournament T on 2n vertices whose capacity is at least โ n, whereas the maximum number of vertices in a transitive subtourna