On the 2-abelian complexity of the Thue-Morse word

被引：7

作者：

Greinecker, Florian ^{[1
]}

机构：

[1] Dept Anal & Computat Number Theory Math A, A-8010 Graz, Austria

来源：

THEORETICAL COMPUTER SCIENCE | 2015年 / 593卷

基金：

奥地利科学基金会;

关键词：

Thue-Morse word; Complexity of infinite words; 2-abelian complexity; 2-regular sequence; K-REGULAR SEQUENCES; RING;

D O I：

10.1016/j.tcs.2015.05.047

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We show that the 2-abelian complexity of the infinite Thue-Morse word is 2-regular, and other properties of the 2-abelian complexity, most notably that it is a concatenation of palindromes of increasing length. We also show sharp bounds for the length of unique extensions of factors of size n, occurring in the Thue-Morse word. (C) 2015 Published by Elsevier B.V.

引用

页码：88 / 105

页数：18

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