论文标题

数字段和平衡单词的一些结果

Some Results on Digital Segments and Balanced Words

论文作者

De Luca, Alessandro, Fici, Gabriele

论文摘要

我们在基督教词单词和二元平衡词上展示了组合结果,这些单词的几何解释是数字段的近似值。我们给出了一个封闭式公式,用于计算$ a $零和$ b $的均衡单词的确切数量。我们还研究最少的非平衡单词。

We exhibit combinatorial results on Christoffel words and binary balanced words that are motivated by their geometric interpretation as approximations of digital segments. We give a closed formula for counting the exact number of balanced words with $a$ zeroes and $b$ ones. We also study minimal non-balanced words.

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