RAIRO-Theor. Inf. Appl.
Volume 55, 2021
|Number of page(s)||15|
|Published online||20 January 2021|
Upper bound for palindromic and factor complexity of rich words
Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague,
Prague 6, Czechia.
* Corresponding author: email@example.com
Accepted: 11 December 2020
A finite word w of length n contains at most n + 1 distinct palindromic factors. If the bound n + 1 is attained, the word w is called rich. An infinite word w is called rich if every finite factor of w is rich.
Let w be a word (finite or infinite) over an alphabet with q > 1 letters, let Facw(n) be the set of factors of length n of the word w, and let Palw(n) ⊆ Facw(n) be the set of palindromic factors of length n of the word w.
where w is an infinite word whose set of factors is closed under reversal. We prove this inequality for every finite word v with |v| ≥ n + 1 and v(n + 1) closed under reversal.
Mathematics Subject Classification: 68R15
Key words: Rich words / Palindromes / Palindromic complexity / Factor complexity
© EDP Sciences, 2021
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.