Constraint-sensitive Catalan path statistics having the Narayana distribution

Robert A. Sulanke

doi:10.1016/S0012-365X(98)00382-3

Constraint-sensitive Catalan path statistics having the Narayana distribution

Robert A. Sulanke

Mathematics Department

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

20 Scopus citations

Abstract

This paper concerns determining a new class of statistics for Catalan lattice paths that satisfy the Narayana distribution and account for certain specified behavior of the paths at the constraining boundary. Each new statistic is shown to be related, usually bijectively, to either a known or another new statistic having the Narayana distribution.

Original language	English
Pages (from-to)	397-414
Number of pages	18
Journal	Discrete Mathematics
Volume	204
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(98)00382-3
State	Published - 6 Jun 1999

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abstract = "This paper concerns determining a new class of statistics for Catalan lattice paths that satisfy the Narayana distribution and account for certain specified behavior of the paths at the constraining boundary. Each new statistic is shown to be related, usually bijectively, to either a known or another new statistic having the Narayana distribution.",

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AB - This paper concerns determining a new class of statistics for Catalan lattice paths that satisfy the Narayana distribution and account for certain specified behavior of the paths at the constraining boundary. Each new statistic is shown to be related, usually bijectively, to either a known or another new statistic having the Narayana distribution.

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Constraint-sensitive Catalan path statistics having the Narayana distribution

Abstract

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