Eulerian-Catalan Numbers

  • Hoda Bidkhori
  • Seth Sullivant
DOI: https://doi.org/10.37236/674

Abstract

We show that the Eulerian-Catalan numbers enumerate Dyck permutations. We provide two proofs for this fact, the first using the geometry of alcoved polytopes and the second a direct combinatorial proof via an Eulerian-Catalan analogue of the Chung-Feller theorem.

Published
2011-09-20
Issue
Volume 18, Issue 1 (2011)
Article Number
P187