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The Thue-Morse word contains circular \(5/2^+\) power free words of every length

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Publication:1770411
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DOI10.1016/j.tcs.2004.12.024zbMath1070.68125OpenAlexW1964943343MaRDI QIDQ1770411

Ali Aberkane, James D. Currie

Publication date: 6 April 2005

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2004.12.024


zbMATH Keywords

Thue-Morse wordCircular wordsWords avoiding fractional powers


Mathematics Subject Classification ID

Combinatorics on words (68R15)


Related Items (4)

\((2+\epsilon )\)-nonrepetitive list colouring of paths ⋮ ON THE EXISTENCE OF MINIMAL β-POWERS ⋮ Avoiding abelian powers cyclically ⋮ Circular critical exponents for Thue–Morse factors



Cites Work

  • There are ternary circular square-free words of length \(n\) for \(n \geq\) 18
  • Attainable lengths for circular binary words avoiding \(k\) powers
  • Binary Sequences which Contain no BBb
  • Unnamed Item


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