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arXiv · 2211.09417

Some Results on Digital Segments and Balanced Words

Alessandro De Luca·Gabriele Fici
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Abstract

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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Alessandro De Luca, Gabriele Fici. 2024-11-13. Some Results on Digital Segments and Balanced Words. https://doi.org/10.1016/j.tcs.2024.114935

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