Constructing Premaximal Binary Cube-free Words of Any Level

We study the structure of the language of binary cube-free words. Namely, we are interested in the cube-free words that cannot be infinitely extended preserving cube-freeness. We show the existence of such words with arbitrarily long finite extensions, both to one side and to both sides.

Bibliographic Details
Main Authors: Elena A. Petrova, Arseny M. Shur
Format: Article
Language:English
Published: Open Publishing Association 2011-08-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1108.3634v1