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Eulerian-Catalan Numbers

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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Co-authorshipAuthorshipAuthorshipTopic signalWEulerian-Catalan Numberspreprint / 2011AHoda BidkhoriResearcherASeth SullivantResearcherTmath.CO8936 works
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Eulerian-Catalan Numbers

preprint / 2011

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