Partial words with a unique position starting a square
Combinatorics
2019-02-05 v2
Abstract
We consider partial words with a unique position starting a power. We show that over a letter alphabet, a partial word with a unique position starting a square can contain at most squares. This is in contrast to full words which can contain at most one power if a unique position starts a power. For certain higher powers we exhibit binary partial words containing three powers all of which start at the same position.
Cite
@article{arxiv.1809.11164,
title = {Partial words with a unique position starting a square},
author = {John Machacek},
journal= {arXiv preprint arXiv:1809.11164},
year = {2019}
}