455 search results - page 2 / 91 » On Trees and Noncrossing Partitions |
EJC
2011
12 years 11 months ago
2011
Noncrossing set partitions, nonnesting set partitions, Dyck paths, and rooted plane trees are four classes of Catalan objects which carry a notion of type. There exists a product f...
EJC
2008
13 years 4 months ago
2008
The notion of noncrossing linked partition arose from the study of certain transforms in free probability theory. It is known that the number of noncrossing linked partitions of [...
DM
2008
13 years 4 months ago
2008
A set partition is said to be (k, d)-noncrossing if it avoids the pattern 12
CORR
2011
Springer
12 years 11 months ago
2011
Springer
We generalize the notion of non-crossing partition on a disk to general surfaces with boundary. For this, we consider a surface Σ and introduce the number CΣ(n) of noncrossing pa...
DCG
2007
13 years 4 months ago
2007
Motivated by Gauss’s first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bou...