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
收藏
页码：56 / 70
页数：15
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