3-anti-power uniform morphisms
Formal Languages and Automata Theory
2023-12-25 v1
Abstract
Words whose three successive factors of the same length are all different i.e. 3-anti-power words are a natural extension of square-free words (two successive factors of the same length are different). We give a way to verify whether a uniform morphism preserves 3-anti-power words (the image of a 3-anti-power word is a 3-anti-power word). A consequence of the existence of such morphisms is the possibility of generating an infinite 3-anti-power word.
Cite
@article{arxiv.2312.14514,
title = {3-anti-power uniform morphisms},
author = {Francis Wlazinski},
journal= {arXiv preprint arXiv:2312.14514},
year = {2023}
}