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arxiv: 1212.5106 · v1 · pith:YZFIKB3Lnew · submitted 2012-12-20 · 💻 cs.FL · math.CO

Balance properties of Arnoux-Rauzy words

classification 💻 cs.FL math.CO
keywords arnoux-rauzywordsalphabetbalancebalancedbalancednessbalancescharacterization
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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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