Geodesic
Eulerian-Catalan numbers
The electronic journal of combinatorics, Tome 18 (2011) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

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.
DOI : 10.37236/674
Classification : 05A15, 05A10
Mots-clés : Eulerian-Catalan number, Dyck permutation, Dyck path, Ballot sequence 
@article{10_37236_674,
     author = {Hoda Bidkhori and Seth Sullivant},
     title = {Eulerian-Catalan numbers},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/674},
     zbl = {1236.05010},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/674/}
}
TY  - JOUR
AU  - Hoda Bidkhori
AU  - Seth Sullivant
TI  - Eulerian-Catalan numbers
JO  - The electronic journal of combinatorics
PY  - 2011
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/674/
DO  - 10.37236/674
ID  - 10_37236_674
ER  - 
%0 Journal Article
%A Hoda Bidkhori
%A Seth Sullivant
%T Eulerian-Catalan numbers
%J The electronic journal of combinatorics
%D 2011
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/674/
%R 10.37236/674
%F 10_37236_674
Hoda Bidkhori; Seth Sullivant. Eulerian-Catalan numbers. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/674

Cité par Sources :