Dyck Words, Lattice Paths, and Abelian Borders

We use results on Dyck words and lattice paths to derive a formula for the exact number of binary words of a given length with a given minimal abelian border length, tightening a bound on that number from Christodoulakis et al. (Discrete Applied Mathematics, 2014). We also extend to any number of di...

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Bibliographic Details
Main Authors: F. Blanchet-Sadri, Kun Chen, Kenneth Hawes
Format: Article
Language:English
Published: Open Publishing Association 2017-08-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1708.06461v1