Square-free partial words

被引:11
|
作者
Halava, Vesa
Harju, Tero
Karki, Tomi [1 ]
机构
[1] Univ Turku, Dept Math, Turku 20014, Finland
关键词
Combinatorial problems; Partial word; Square-free; Thue-Morse word; Leech word;
D O I
10.1016/j.ipl.2008.06.001
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We say that a partial word w over an alphabet A is square-free if every factor xx' of w such that x and x' are compatible is either of the form lozenge a or a lozenge where lozenge is a hole and a is an element of A. We prove that there exist uncountably many square-free partial words over a ternary alphabet with an infinite number of holes. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:290 / 292
页数:3
相关论文
共 50 条
  • [1] Abelian Square-Free Partial Words
    Blanchet-Sadri, Francine
    Kim, Jane I.
    Mercas, Robert
    Severa, William
    Simmons, Sean
    [J]. LANGUAGE AND AUTOMATA THEORY AND APPLICATIONS, 2010, 6031 : 94 - +
  • [2] Square-Free Partial Words with Many Wildcards
    Gasnikov, Daniil
    Shur, Arseny M.
    [J]. INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, 2018, 29 (05) : 845 - 860
  • [3] Ternary Square-Free Partial Words with Many Wildcards
    Gasnikov, Daniil
    Shur, Arseny M.
    [J]. DEVELOPMENTS IN LANGUAGE THEORY, DLT 2016, 2016, 9840 : 177 - 189
  • [4] Square-free words with square-free self-shuffles
    Currie, James D.
    Saari, Kalle
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2014, 21 (01):
  • [5] ON THE PRODUCT OF SQUARE-FREE WORDS
    DELUCA, A
    [J]. DISCRETE MATHEMATICS, 1984, 52 (2-3) : 143 - 157
  • [6] Rich square-free words
    Vesti, Jetro
    [J]. THEORETICAL COMPUTER SCIENCE, 2017, 687 : 48 - 61
  • [7] Square-free shuffles of words
    Harju, Tero
    Mueller, Mike
    [J]. THEORETICAL COMPUTER SCIENCE, 2015, 601 : 29 - 38
  • [8] Disposability in square-free words
    Harju, Tero
    [J]. THEORETICAL COMPUTER SCIENCE, 2021, 862 : 155 - 159
  • [9] Extremal Square-free Words
    Grytczuk, Jaroslaw
    Kordulewski, Hubert
    Niewiadomski, Artur
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2020, 27 (01):
  • [10] The entropy of square-free words
    Baake, M
    Elser, V
    Grimm, U
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 1997, 26 (8-10) : 13 - 26