| Issue |
RAIRO-Theor. Inf. Appl.
Volume 40, Number 3, July-September 2006
Word Avoidability Complexity And Morphisms (WACAM)
|
|
|---|---|---|
| Page(s) | 427 - 441 | |
| DOI | https://doi.org/10.1051/ita:2006020 | |
| Published online | 18 October 2006 | |
A generator of morphisms for infinite words
LaBRI, Université Bordeaux I, 351, cours de la Libération, 33405 Talence Cedex, France; ochem@labri.fr
We present an algorithm which produces, in some cases, infinite words
avoiding both large fractional repetitions and a given set of finite words.
We use this method to show that all the ternary patterns whose avoidability
index was left open in Cassaigne's thesis are 2-avoidable.
We also prove that there exist exponentially many 
-free ternary words
and 
-free 4-ary words.
Finally we give small morphisms for binary words containing only the squares 2,
12 and (01)² and for binary words avoiding large squares and fractional repetitions.
Mathematics Subject Classification: 68R15
© EDP Sciences, 2006
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