BINARY PATTERNS IN BINARY WORDS

Author:

GORALCIK PAVEL1,VANICEK TOMAS2

Affiliation:

1. Université de Rouen, LIR, Fac.des Sciences, Pl. E. Blondel. B.P. 118, 76134 Mont Saint Aignan, France

2. CVUT, fak. stavebni, Thakurova 7, 166 29 Phraha 6, Czechoslovakia

Abstract

We strengthen the description of the 2-avoidable binary patterns given in J. Cassaigne [3], P. Roth [7], and Vanicek [8], by showing that every 2-avoidable binary pattern [t] can be avoided by an infinite independent set of binary words, and, the number of binary words avoiding [t] grows exponentially with their length.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Binary patterns in binary cube-free words: Avoidability and growth;RAIRO - Theoretical Informatics and Applications;2014-07-17

2. Growth properties of power-free languages;Computer Science Review;2012-11

3. Patterns in words and languages;Discrete Applied Mathematics;2004-12

4. Combinatorics of Words;Handbook of Formal Languages;1997

5. Binary words avoided by the Thue-Morse sequence;Semigroup Forum;1996-12

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