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arXiv · 2606.02071

On gapped repeats in a cyclic Fibonacci word

Takashi Horiyama·Yasuhide Numata·Kazuhisa Seto·Shuhei Tsujie
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Abstract

In this article, we consider the words with cyclic indices. For given $s$, we consider the pair $(ι,κ)$ of indices such that the word of length $s$ from $ι$ is equal to the word of length $s$ from $κ$. We give a characterization of such pairs for a cyclic Fibonacci word, and give the number of them.

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Takashi Horiyama, Yasuhide Numata, Kazuhisa Seto, Shuhei Tsujie. 2026-06-01. On gapped repeats in a cyclic Fibonacci word. https://arxiv.org/abs/2606.02071

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