Geodesic
Critical exponent of binary words with few distinct palindromes
The electronic journal of combinatorics, Tome 31 (2024) no. 2
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We study infinite binary words that contain few distinct palindromes. In particular, we classify such words according to their critical exponents. This extends results by Fici and Zamboni [TCS 2013]. Interestingly, the words with 18 and 20 palindromes happen to be morphic images of the fixed point of the morphism $\texttt{0}\mapsto\texttt{01}$, $\texttt{1}\mapsto\texttt{21}$, $\texttt{2}\mapsto\texttt{0}$.
DOI : 10.37236/12574
Classification : 68R15 
@article{10_37236_12574,
     author = {L{\textquoteright}ubom{\i}́ra Dvo\v{r}\'akov\'a and Pascal Ochem and Daniela Opo\v{c}ensk\'a},
     title = {Critical exponent of binary words with few distinct palindromes},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {2},
     doi = {10.37236/12574},
     zbl = {7882950},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/12574/}
}
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L’ubomı́ra Dvořáková; Pascal Ochem; Daniela Opočenská. Critical exponent of binary words with few distinct palindromes. The electronic journal of combinatorics, Tome 31 (2024) no. 2. doi: 10.37236/12574

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