Some Results on Digital Segments and Balanced Words

Published 17 Nov 2022 in cs.FL, cs.DM, and math.CO | (2211.09417v3)

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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