A determinant for q-counting n-dimensional lattice paths

Robert A. Sulanke

doi:10.1016/0012-365X(90)90182-H

A determinant for q-counting n-dimensional lattice paths

Robert A. Sulanke

Mathematics Department

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

4 Scopus citations

Abstract

A bijective proof of Gessel and Viennot is extended to a proof of an n-dimensional q-analogue of Kreweras's determinant formula for counting restricted lattice paths. In the proof the determinant has direct combinatorial significance.

Original language	English
Pages (from-to)	91-96
Number of pages	6
Journal	Discrete Mathematics
Volume	81
Issue number	1
DOIs	https://doi.org/10.1016/0012-365X(90)90182-H
State	Published - 1 Apr 1990

Access to Document

10.1016/0012-365X(90)90182-H

Cite this

@article{a81e9c3b83c841eebe66c3e145e8763b,

title = "A determinant for q-counting n-dimensional lattice paths",

abstract = "A bijective proof of Gessel and Viennot is extended to a proof of an n-dimensional q-analogue of Kreweras's determinant formula for counting restricted lattice paths. In the proof the determinant has direct combinatorial significance.",

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

year = "1990",

month = apr,

day = "1",

doi = "10.1016/0012-365X(90)90182-H",

language = "English",

volume = "81",

pages = "91--96",

number = "1",

}

TY - JOUR

T1 - A determinant for q-counting n-dimensional lattice paths

AU - Sulanke, Robert A.

PY - 1990/4/1

Y1 - 1990/4/1

N2 - A bijective proof of Gessel and Viennot is extended to a proof of an n-dimensional q-analogue of Kreweras's determinant formula for counting restricted lattice paths. In the proof the determinant has direct combinatorial significance.

AB - A bijective proof of Gessel and Viennot is extended to a proof of an n-dimensional q-analogue of Kreweras's determinant formula for counting restricted lattice paths. In the proof the determinant has direct combinatorial significance.

UR - https://www.scopus.com/pages/publications/38249018373

U2 - 10.1016/0012-365X(90)90182-H

DO - 10.1016/0012-365X(90)90182-H

M3 - Article

AN - SCOPUS:38249018373

SN - 0012-365X

VL - 81

SP - 91

EP - 96

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1

ER -

A determinant for q-counting n-dimensional lattice paths

Abstract

Access to Document

Other files and links

Fingerprint

Cite this