Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Bi-banded paths, a bijection and the Narayana numbers

Thumbnail Image

Date

2010

Authors

Osborn, Judy-Anne

Journal Title

Journal ISSN

Volume Title

Publisher

University of Queensland

Abstract

We find a bijection between bi-banded paths and peak-counting paths, applying to two classes of lattice paths including Dyck paths. Thus we find a new interpretation of Narayana numbers as coefficients of weight polynomials enumerating bi-banded Dyck paths, which class of paths has arisen naturally in previous literature in a solution of the stationary state of the 'TASEP' stochastic process.

Description

Keywords

Citation

URI

http://hdl.handle.net/1885/62393

Collections

ANU Research Publications

Source

Australasian Journal of Combinatorics

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

Restricted until

2037-12-31

Downloads

File
Description
01_Osborn_Bi-banded_paths,_a_bijection_2010.pdf (243.09 KB)

DSpace software copyright © 2002-2026 LYRASIS