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On the number of -power-free binary words for

✍ Scribed by Vincent D. Blondel; Julien Cassaigne; Raphaël M. Jungers


Book ID
108281530
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
809 KB
Volume
410
Category
Article
ISSN
0304-3975

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On the number of Abelian square-free wor
✍ Arturo Carpi 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 786 KB

An Abelian square-free substitution on four letters is exhibited. We derive that. on a fourletter alphabet, the number of Abelian square-free words of each length grows exponentially. infinite Abelian square-free words are uncountable and the monoid of Abelian square-free endomorphisms is not finit