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Complement Avoidance in Binary Words
- Publication Year :
- 2022
- Publisher :
- arXiv, 2022.
-
Abstract
- The complement $\overline{x}$ of a binary word $x$ is obtained by changing each $0$ in $x$ to $1$ and vice versa. We study infinite binary words $\bf w$ that avoid sufficiently large complementary factors; that is, if $x$ is a factor of $\bf w$ then $\overline{x}$ is not a factor of $\bf w$. In particular, we classify such words according to their critical exponents.
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....9fe53ebff506f6c03ce8bfba13a61fbf
- Full Text :
- https://doi.org/10.48550/arxiv.2209.09598