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arXiv · 2107.13813

Mesosome Avoidance

Robert Cummings·Jeffrey Shallit·Paul Staadecker
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Abstract

We consider avoiding mesosomes -- that is, words of the form $xx'$ with $x'$ a conjugate of $x$ that is different from $x$ -- over a binary alphabet. We give a structure theorem for mesosome-avoiding words, count how many there are, characterize all the infinite mesosome-avoiding words, and determine the minimal forbidden words.

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Robert Cummings, Jeffrey Shallit, Paul Staadecker. 2021-07-29. Mesosome Avoidance. https://arxiv.org/abs/2107.13813

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