Dyck Words, Lattice Paths, and Abelian Borders

被引：5

作者：

Blanchet-Sadri, F. ^{[1
]}

Chen, Kun ^{[1
]}

Hawes, Kenneth ^{[2
]}

机构：

[1] Univ N Carolina, Dept Comp Sci, POB 26170, Greensboro, NC 27402 USA

[2] Univ Virginia, Dept Math, POB 400137, Charlottesville, VA 22904 USA

来源：

ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE | 2017年 / 252期

基金：

美国国家科学基金会;

关键词：

PERIODS; ALGORITHMS; THEOREM; FINE;

D O I：

10.4204/EPTCS.252.9

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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 distinct abelian borders a result of Rampersad et al. (Developments in Language Theory, 2013) on the exact number of binary words of a given length with no abelian borders. Furthermore, we generalize these results to partial words.

引用

页码：56 / 70

页数：15

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