Enumerative Properties of NC^B(p,q)
| dc.creator | Goulden, I. P. | |
| dc.creator | Nica, Alexandru | |
| dc.creator | Oancea, Ion | |
| dc.date | 2007-08-16 | |
| dc.date | 2008-11-20 | |
| dc.date.accessioned | 2026-07-07T10:19:17Z | |
| dc.date.available | 2026-07-07T10:19:17Z | |
| dc.description | We determine the rank generating function, the zeta polynomial and the Moebius function for the poset NC^B(p,q) of annular non-crossing partitions of type B, where p and q are two positive integers. We give an alternative treatment of some of these results in the case q=1, for which this poset is a lattice. We also consider the general case of multiannular non-crossing partitions of type B, and prove that this reduces to the cases of non-crossing partitions of type B in the annulus and in the disc. | |
| dc.description | Revised version -- some corrections and new Section 6 concerning multi-annular partitions of type B. Accepted for publication in Annals of Combinatorics. 26 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0708.2212 | |
| dc.identifier | http://arxiv.org/abs/0708.2212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174451 | |
| dc.subject | Combinatorics | |
| dc.subject | Group Theory | |
| dc.subject | 06A07, 05A15 | |
| dc.title | Enumerative Properties of NC^B(p,q) | |
| dc.type | text |