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arXiv · 1108.3634

Constructing Premaximal Binary Cube-free Words of Any Level

Elena A. Petrova·Arseny M. Shur
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Abstract

We study the structure of the language of binary cube-free words. Namely, we are interested in the cube-free words that cannot be infinitely extended preserving cube-freeness. We show the existence of such words with arbitrarily long finite extensions, both to one side and to both sides.

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Elena A. Petrova, Arseny M. Shur. 2011-08-18. Constructing Premaximal Binary Cube-free Words of Any Level. https://doi.org/10.4204/eptcs.63.23

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