A symmetric variation of a distribution of Kreweras and Poupard
type: Item
instance of: scholarly article
title: A symmetric variation of a distribution of Kreweras and Poupard
zbMATH Open document ID: 0771.05013
DOI: 10.1016/0378-3758(93)90013-V
author: Robert A. Sulanke
published in: Journal of Statistical Planning and Inference
publication date: 1993-05-16T00:00:00Z
review text: \textit{G. Kreweras} and \textit{Y. Poupard} [Eur. J. Comb. 7, 141-149 (1986; Zbl 0647.05007)] discovered a refinement of Narayana numbers that gives solution for three enumeration problems on bridges. Their distribution has an inherent lack of symmetry. The present paper shows a symmetric analogue, based on counting non-intersecting pairs of lattice paths between two lattice points with respect to the number of left turns in the left path and the number of right turns in the right path.
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 168247
zbMATH Keywords: bridge
zbMATH Keywords: Narayana numbers
zbMATH Keywords: distribution
zbMATH Keywords: lattice paths
reviewed by: László A. Székely
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 168247