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

21 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

Access to Document

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

Cite this

@article{27fffa4e28c94513b49b09f71448abb4,

title = "Constraint-sensitive Catalan path statistics having the Narayana distribution",

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.",

author = "Sulanke, \{Robert A.\}",

year = "1999",

month = jun,

day = "6",

doi = "10.1016/S0012-365X(98)00382-3",

language = "English",

volume = "204",

pages = "397--414",

number = "1-3",

}

TY - JOUR

T1 - Constraint-sensitive Catalan path statistics having the Narayana distribution

AU - Sulanke, Robert A.

PY - 1999/6/6

Y1 - 1999/6/6

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0001286213

U2 - 10.1016/S0012-365X(98)00382-3

DO - 10.1016/S0012-365X(98)00382-3

M3 - Article

AN - SCOPUS:0001286213

SN - 0012-365X

VL - 204

SP - 397

EP - 414

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

Constraint-sensitive Catalan path statistics having the Narayana distribution

Abstract

Access to Document

Other files and links

Fingerprint

Cite this