h-vectors of generalized associahedra and non-crossing partitions
| dc.creator | Athanasiadis, Christos A. | |
| dc.creator | Brady, Thomas | |
| dc.creator | McCammond, Jon | |
| dc.creator | Watt, Colum | |
| dc.date | 2006-02-14 | |
| dc.date.accessioned | 2026-07-07T07:03:24Z | |
| dc.date.available | 2026-07-07T07:03:24Z | |
| dc.description | A case-free proof is given that the entries of the $h$-vector of the cluster complex $Δ(Φ)$, associated by S. Fomin and A. Zelevinsky to a finite root system $Φ$, count elements of the lattice $\nc$ of noncrossing partitions of corresponding type by rank. Similar interpretations for the $h$-vector of the positive part of $Δ(Φ)$ are provided. The proof utilizes the appearance of the complex $Δ(Φ)$ in the context of the lattice $\nc$, in recent work of two of the authors, as well as an explicit shelling of $Δ(Φ)$. | |
| dc.description | 20 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0602293 | |
| dc.identifier | http://arxiv.org/abs/math/0602293 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108959 | |
| dc.subject | Combinatorics | |
| dc.subject | 20F55 | |
| dc.title | h-vectors of generalized associahedra and non-crossing partitions | |
| dc.type | text |