Eulerian-Catalan Numbers

Details Eulerian-Catalan Numbers Eulerian-Catalan Numbers

2011-01-05

arxiv.org/abs/1101.1108v1

Mathematics

Combinatorics

8 pages

Scientific paper

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.

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