RAIRO-Theor. Inf. Appl.
Volume 54, 2020
|Number of page(s)||4|
|Published online||20 March 2020|
Avoiding conjugacy classes on the 5-letter alphabet
Goldsmiths, University of London.
2 LIRMM, Université de Montpellier, CNRS, Montpellier, France.
‡ Corresponding author: firstname.lastname@example.org
Accepted: 18 February 2020
We construct an infinite word w over the 5-letter alphabet such that for every factor f of w of length at least two, there exists a cyclic permutation of f that is not a factor of w. In other words, w does not contain a non-trivial conjugacy class. This proves the conjecture in Gamard et al. [Theoret. Comput. Sci. 726 (2018) 1–4].
Mathematics Subject Classification: 68R15
Key words: Combinatorics on words / conjugacy classes
© The authors. Published by EDP Sciences, 2020
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