Back to Search
Start Over
Extending Dekking's construction of an infinite binary word avoiding abelian $4$-powers
- Publication Year :
- 2021
- Publisher :
- arXiv, 2021.
-
Abstract
- We construct an infinite binary word with critical exponent 3 that avoids abelian 4-powers. Our method gives an algorithm to determine if certain types of morphic sequences avoid additive powers. We also show that there are $\Omega(1.172^n)$ binary words of length $n$ that avoid abelian 4-powers, which improves on previous estimates.<br />Comment: 11 pages
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....bdd2433c8cb8796e750bf23ea80982e3
- Full Text :
- https://doi.org/10.48550/arxiv.2111.07857