RAIRO-Theor. Inf. Appl.
Volume 50, Number 1, January-March 2016
Special issue dedicated to the 15th "Journées Montoises d'Informatique Théorique"
|Page(s)||101 - 103|
|Published online||02 June 2016|
A short proof that shuffle squares are 7-avoidable
University Montpellier 2, LIRMM,
2 CNRS, LIRMM, Montpellier, France
Accepted: 24 March 2016
A shuffle square is a word that can be partitioned into two identical words. We obtain a short proof that there exist exponentially many words over the 7 letter alphabet containing no shuffle square as a factor. The method is a generalization of the so-called power series method using ideas of the entropy compression method as developped by Gonçalves et al. [Entropy compression method applied to graph colorings. arXiv:1406.4380].
Mathematics Subject Classification: 68R15
Key words: Combinatorics on words / shuffle square / entropy compression
© EDP Sciences 2016
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