Catalan path statistics having the Narayana distribution
type: Item
instance of: scholarly article
title: Catalan path statistics having the Narayana distribution
zbMATH Open document ID: 0896.05002
DOI: 10.1016/S0012-365X(97)00126-X
author: Robert A. Sulanke
published in: Discrete Mathematics
publication date: 1998-06-01T00:00:00Z
review text: The author investigates determining the statistics on the set of Catalan lattice paths that satisfy the Narayana distribution. He gives a catalog of 113 such statistics encoded by \(4\times 4\) matrices, showing their interrelations by means of graphical bijection methods.
reviewed by: Indulis Strazdins
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05C38
zbMATH DE Number: 1135949
zbMATH Keywords: Catalan lattice paths
zbMATH Keywords: Narayana distribution
zbMATH Keywords: statistics
MaRDI profile type: Publication
cites work: A new bijection between ordered trees and legal bracketings
cites work: Counting pairs of nonintersecting lattice paths with respect to weighted turns
cites work: Q3752390
cites work: A new enumerative property of the Narayana numbers
cites work: Subdivision des nombres de Narayana suivant deux paramètres supplémentaires. (Subdivision of Narayana numbers following two supplementary parameters)
cites work: Q5555362
cites work: Q4309153
cites work: A symmetric variation of a distribution of Kreweras and Poupard
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description: scientific article; zbMATH DE number 1135949