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

共 50 条

[11] On Arithmetic Progressions in the Generalized Thue-Morse Word
Parshina, Olga G.
[J]. COMBINATORICS ON WORDS, WORDS 2015, 2015, 9304 : 191 - 196
[12] RECURRENCE FUNCTION OF THE TERNARY THUE-MORSE WORD
Kabore, Idrissa
Kientega, Boucare
Nana, Mahamadi
[J]. ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2023, 39 (01): : 43 - 72
[13] On an infinite permutation similar to the Thue-Morse word
Makarov, M. A.
[J]. DISCRETE MATHEMATICS, 2009, 309 (23-24) : 6641 - 6643
[14] ON THE FACTORS OF THE THUE-MORSE WORD ON 3 SYMBOLS
DELUCA, A
VARRICCHIO, S
[J]. INFORMATION PROCESSING LETTERS, 1988, 27 (06) : 281 - 285
[15] On the subword complexity of Thue-Morse polynomial extractions
Moshe, Yossi
[J]. THEORETICAL COMPUTER SCIENCE, 2007, 389 (1-2) : 318 - 329
[16] On the 2-binomial complexity of the generalized Thue-Morse words
Lu, Xiao-Tao
Chen, Jin
Wen, Zhi-Xiong
Wu, Wen
[J]. THEORETICAL COMPUTER SCIENCE, 2024, 986
[17] THE NUMBER OF MINIMAL WORD CHAINS COMPUTING THE THUE-MORSE WORD
BOUSQUETMELOU, M
[J]. INFORMATION PROCESSING LETTERS, 1992, 44 (02) : 57 - 64
[18] Functions on antipower prefix lengths of the Thue-Morse word
Narayanan, Shyam
[J]. DISCRETE MATHEMATICS, 2020, 343 (02)
[19] Anti-power Prefixes of the Thue-Morse Word
Defant, Colin
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2017, 24 (01):
[20] On additive properties of sets defined by the Thue-Morse word
Bucci, Michelangelo
Hindman, Neil
Puzynina, Svetlana
Zamboni, Luca Q.
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2013, 120 (06) : 1235 - 1245

← 1 2 3 4 5 →