Title
Eulerian-Catalan Numbers
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.
Year
Venue
Keywords
2011
Electr. J. Comb.
dyck permutation,dyck path,ballot sequence.,eulerian-catalan number,catalan number
Field
DocType
Volume
Discrete mathematics,Combinatorics,Catalan number,Permutation,Eulerian path,Mathematical proof,Combinatorial proof,Polytope,Schröder–Hipparchus number,Mathematics
Journal
18
Issue
Citations 
PageRank 
1
0
0.34
References 
Authors
3
2
Name
Order
Citations
PageRank
Hoda Bidkhori1143.19
Seth Sullivant29319.17