Low complexity binary words avoiding (5/2)+-powers.

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Bibliographic Details
Title: Low complexity binary words avoiding (5/2)+-powers.
Authors: Currie, James1, Rampersad, Narad1
Source: Discrete Mathematics & Theoretical Computer Science (DMTCS). 2025, Vol. 27 Issue 3, p1-12. 12p.
Subjects: Binary sequences, Combinatorics, Scholars
Abstract: Rote words are infinite words that contain 2n factors of length n for every n ≥ 1. Shallit and Shur, as well as Ollinger and Shallit, showed that there are Rote words that avoid (5/2)+-powers and that this is best possible. In this note we give a structure theorem for the Rote words that avoid (5/2)+-powers, confirming a conjecture of Ollinger and Shallit. [ABSTRACT FROM AUTHOR]
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Description
Abstract:Rote words are infinite words that contain 2n factors of length n for every n ≥ 1. Shallit and Shur, as well as Ollinger and Shallit, showed that there are Rote words that avoid (5/2)+-powers and that this is best possible. In this note we give a structure theorem for the Rote words that avoid (5/2)+-powers, confirming a conjecture of Ollinger and Shallit. [ABSTRACT FROM AUTHOR]
ISSN:13658050