Balance properties of Arnoux-Rauzy words

Published 20 Dec 2012 in cs.FL and math.CO | (1212.5106v1)

Abstract: The paper deals with balances and imbalances in Arnoux-Rauzy words. We provide sufficient conditions for $C$-balancedness, but our results indicate that even a characterization of 2-balanced Arnoux-Rauzy words on a 3-letter alphabet is not immediate.

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