We consider shuffles of words. It is first shown that there are infinite square-free words w over a four-letter alphabet such that w is a perfect shuffle of two square-free words u and v. Then we show that there exists an infinite square-free word u on three letters such that u can be shuffled with itself to produce another infinite square-free word. The proof of the latter result is constructive on finite factors, and it relies on a computer program for checking square-freeness of longer words. © 2013 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Harju, T. (2013). A note on square-free shuffles of words. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8079 LNCS, pp. 154–160). Springer Verlag. https://doi.org/10.1007/978-3-642-40579-2_17
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