𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Characterizations of partition lattices

✍ Scribed by J. Randolph Stonesifer; Kenneth P. Bogart


Publisher
Springer
Year
1984
Tongue
English
Weight
297 KB
Volume
19
Category
Article
ISSN
0002-5240

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Partitions of large Boolean lattices
✍ Zbigniew Lonc πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 482 KB

Let 2" be the ordered set obtained from the Boolean lattice 2" by deleting both the greatest and the least elements. Definef(n) to be the minimum number k such that there is a partition of 2" into k antichains of the same size except for at most one antichain of a smaller size. In the paper we exami

Lattices on simplicial partitions
✍ GaΕ‘per Jaklič; Jernej Kozak; Marjeta Krajnc; Vito Vitrih; Emil Ε½agar πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 880 KB

In this paper, (d + 1)-pencil lattices on simplicial partitions in R d are studied. The barycentric approach naturally extends the lattice from a simplex to a simplicial partition, providing a continuous piecewise polynomial interpolant over the extended lattice. The number of degrees of freedom is