Concerning Kurosaki's squarefree word
Combinatorics
2013-08-12 v1
Abstract
In 2008, Kurosaki gave a new construction of a (bi-)infinite squarefree word over three letters. We show that in fact Kurosaki's word avoids 7/4+-powers, which, as shown by Dejean, is optimal over a 3-letter alphabet.
Cite
@article{arxiv.1308.2163,
title = {Concerning Kurosaki's squarefree word},
author = {Serina Camungol and Narad Rampersad},
journal= {arXiv preprint arXiv:1308.2163},
year = {2013}
}