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arXiv · 2412.21145

The Shortest Interesting Binary Words

Gabriele Fici
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Abstract

I will show that there exist two binary words (one of length 4 and one of length 6) that play a special role in many different problems in combinatorics on words. They can therefore be considered \textit{the shortest interesting binary words}. My claim is supported by the fact that these two words appear in dozens of papers in combinatorics on words.

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Gabriele Fici. 2025-02-05. The Shortest Interesting Binary Words. https://arxiv.org/abs/2412.21145

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