2 papers
math.CO2005
On some enumerative aspects of generalized associahedra
Christos A. Athanasiadis
We prove a conjecture of F. Chapoton relating certain enumerative invariants of (a) the cluster complex associated by S. Fomin and A. Zelevinsky to a finite root system and (b) the…
math.CO2005
Shellability of noncrossing partition lattices
Christos A. Athanasiadis, Thomas Brady, Colum Watt
We give a case-free proof that the lattice of noncrossing partitions associated to any finite real reflection group is EL-shellable. Shellability of these lattices was open for the…