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arXiv · 2410.12714

Palindromic length of infinite aperiodic words

Josef Rukavicka
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Abstract

The palindromic length of the finite word $v$ is equal to the minimal number of palindromes whose concatenation is equal to $v$. It was conjectured in 2013 that for every infinite aperiodic word $x$, the palindromic length of its factors is not bounded. We prove this conjecture to be true.

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Josef Rukavicka. 2024-10-27. Palindromic length of infinite aperiodic words. https://doi.org/10.1016/j.ejc.2025.104237

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