The Shortest Interesting Binary Words

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1. Verfasser: Fici, Gabriele
Format: Preprint
Veröffentlicht: 2024
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author Fici, Gabriele
author_facet Fici, Gabriele
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_21145
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Shortest Interesting Binary Words
Fici, Gabriele
Combinatorics
Formal Languages and Automata Theory
68R15
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.
title The Shortest Interesting Binary Words
topic Combinatorics
Formal Languages and Automata Theory
68R15
url https://arxiv.org/abs/2412.21145