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Bi-banded paths, a bijection and the Narayana numbers

Osborn, Judy-Anne


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.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Australasian Journal of Combinatorics


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