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Repetitions in infinite palindrome-rich words
- Publication Year :
- 2019
- Publisher :
- arXiv, 2019.
-
Abstract
- Rich words are characterized by containing the maximum possible number of distinct palindromes. Several characteristic properties of rich words have been studied; yet the analysis of repetitions in rich words still involves some interesting open problems. We address lower bounds on the repetition threshold of infinite rich words over 2 and 3-letter alphabets, and construct a candidate infinite rich word over the alphabet $\Sigma_2=\{0,1\}$ with a small critical exponent of $2+\sqrt{2}/2$. This represents the first progress on an open problem of Vesti from 2017.<br />Comment: 12 pages
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....ee421023293d390585b2a9ed2177cb19
- Full Text :
- https://doi.org/10.48550/arxiv.1904.10028