On some enumerative aspects of generalized associahedra


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 lattice of noncrossing partitions associated to the corresponding finite real reflection group. 1. The result Let Φ be a finite root system spanning an n-dimensional Euclidean… (More)
DOI: 10.1016/j.ejc.2006.02.002