A symmetric variation of a distribution of Kreweras and Poupard

Robert A. Sulanke

doi:10.1016/0378-3758(93)90013-V

A symmetric variation of a distribution of Kreweras and Poupard

Robert A. Sulanke

Mathematics Department

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The distribution of Kreweras and Poupard refines the Narayana number by counting three different cases of lattice bridges, or Catalan sequences, with respect to four parameters. Here, a cycle lemma is established to derive a symmetric distribution that counts one variant of these cases. Variants of the other cases are then counted bijectively. Two bijections between a set of pairs of non-intersecting lattice paths are considered and related to the distribution.

Original language	English
Pages (from-to)	291-303
Number of pages	13
Journal	Journal of Statistical Planning and Inference
Volume	34
Issue number	2
DOIs	https://doi.org/10.1016/0378-3758(93)90013-V
State	Published - Feb 1993

Keywords

Catalan paths
Lattice path enumeration
Narayana numbers

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10.1016/0378-3758(93)90013-V

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title = "A symmetric variation of a distribution of Kreweras and Poupard",

abstract = "The distribution of Kreweras and Poupard refines the Narayana number by counting three different cases of lattice bridges, or Catalan sequences, with respect to four parameters. Here, a cycle lemma is established to derive a symmetric distribution that counts one variant of these cases. Variants of the other cases are then counted bijectively. Two bijections between a set of pairs of non-intersecting lattice paths are considered and related to the distribution.",

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AU - Sulanke, Robert A.

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Y1 - 1993/2

N2 - The distribution of Kreweras and Poupard refines the Narayana number by counting three different cases of lattice bridges, or Catalan sequences, with respect to four parameters. Here, a cycle lemma is established to derive a symmetric distribution that counts one variant of these cases. Variants of the other cases are then counted bijectively. Two bijections between a set of pairs of non-intersecting lattice paths are considered and related to the distribution.

AB - The distribution of Kreweras and Poupard refines the Narayana number by counting three different cases of lattice bridges, or Catalan sequences, with respect to four parameters. Here, a cycle lemma is established to derive a symmetric distribution that counts one variant of these cases. Variants of the other cases are then counted bijectively. Two bijections between a set of pairs of non-intersecting lattice paths are considered and related to the distribution.

KW - Catalan paths

KW - Lattice path enumeration

KW - Narayana numbers

UR - https://www.scopus.com/pages/publications/38249007663

U2 - 10.1016/0378-3758(93)90013-V

DO - 10.1016/0378-3758(93)90013-V

M3 - Article

AN - SCOPUS:38249007663

SN - 0378-3758

VL - 34

SP - 291

EP - 303

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 2

ER -

A symmetric variation of a distribution of Kreweras and Poupard

Abstract

Keywords

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