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arXiv · 0911.2233

Pseudo-Power Avoidance

Ehsan Chiniforooshan·Lila Kari·Zhi Xu
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Abstract

Repetition avoidance has been studied since Thue's work. In this paper, we considered another type of repetition, which is called pseudo-power. This concept is inspired by Watson-Crick complementarity in DNA sequence and is defined over an antimorphic involution $ϕ$. We first classify the alphabet $Σ$ and the antimorphic involution $ϕ$, under which there exists sufficiently long pseudo-$k$th-power-free words. Then we present algorithms to test whether a finite word $w$ is pseudo-$k$th-power-free.

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Ehsan Chiniforooshan, Lila Kari, Zhi Xu. 2009-11-11. Pseudo-Power Avoidance. https://arxiv.org/abs/0911.2233

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