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Electronic Journal of Combinatorics
Article . 2011 . Peer-reviewed
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Electronic Journal of Combinatorics
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Preprint . 2011
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Electronic Journal of Combinatorics
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https://dx.doi.org/10.48550/ar...
Article . 2011
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Eulerian-Catalan Numbers

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 20 Sep 2011Embargo end date: 01 Jan 2011Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 18 (eissn: 1077-8926, Copyright policy )Funded by:NSF | CAREER: Algebraic Problem...
Authors: Seth Sullivant; Hoda Bidkhori;

doi: 10.37236/674 , 10.48550/arxiv.1101.1108

arXiv: http://arxiv.org/abs/1101.1108

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.

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Keywords

FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold