- probability. The
number of
noncrossing partitions of a set of n
elements is the nth
Catalan number. The
number of
noncrossing partitions of an n-element...
- the block). The
partition is then
noncrossing if and only if
these polygons do not intersect. The
lattice of
noncrossing partitions of a
finite set forms...
- "Sequence A001764 (Binomial(3n,n)/(2n+1) (enumerates
ternary trees and also
noncrossing trees))". The On-Line
Encyclopedia of
Integer Sequences. OEIS Foundation...
-
number of
noncrossing partitions of the set {1, ..., n}. A fortiori, Cn
never exceeds the n-th Bell number. Cn is also the
number of
noncrossing partitions...
- of
noncrossing partitions",
Discrete Mathematics, 98 (3): 193–206, doi:10.1016/0012-365X(91)90376-D, MR 1144402. Simion,
Rodica (2000), "
Noncrossing partitions"...
- set in the
theory of
ordinary ****ulants is
replaced by the set of all
noncrossing partitions of a
finite set. Just as the ****ulants of
degree more than...
- Speicher)
plays a
major role in the theory. It is
related to the
lattice of
noncrossing partitions of the set { 1, ..., n } in the same way in
which the classic...
- (topology)
Matroid partitioning Multipartition Multiplicative partition Noncrossing partition Ordered partition of a set
Partition calculus Partition function...
- this
lattice if and only if it has at most one non-singleton part. The
noncrossing partition lattice is
similarly supersolvable,
although it is not geometric...
- A001764 (binomial(3*n,n)/(2*n+1) (enumerates
ternary trees and also
noncrossing trees))". The On-Line
Encyclopedia of
Integer Sequences. OEIS Foundation...
