Avoidance of split overlaps
Discrete Mathematics
2020-02-27 v2 Combinatorics
Abstract
We generalize Axel Thue's familiar definition of overlaps in words, and show that there are no infinite words containing split occurrences of these generalized overlaps. Along the way we prove a useful theorem about repeated disjoint occurrences in words -- an interesting natural variation on the classical de Bruijn sequences.
Cite
@article{arxiv.2002.01968,
title = {Avoidance of split overlaps},
author = {Daniel Gabric and Jeffrey Shallit},
journal= {arXiv preprint arXiv:2002.01968},
year = {2020}
}