English

On some enumerative aspects of generalized associahedra

Combinatorics 2007-05-23 v1 Group Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0508030,
  title  = {On some enumerative aspects of generalized associahedra},
  author = {Christos A. Athanasiadis},
  journal= {arXiv preprint arXiv:math/0508030},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T17:22:42.996Z