A note on the paper "On Brlek-Reutenauer conjecture"
In this short note we point to an error in the proof of a theorem stated in [L Balkova, E. Pelantova, S. Starosta, On Brlek-Reutenauer conjecture, Theoret. Comput. Sci. 412 (2011) 5649-5655]. By constructing a counterexample, we show that the assertion of the theorem is actually incorrect. Although this theorem is of a technical character, it was used in an argument leading to a corollary of a general interest to the Brlek-Reutenauer conjecture, and thus as a consequence of this note we have that the proof of the mentioned corollary is also flawed. (C) 2012 Elsevier B.V. All rights reserved.
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