On multiperiodic words
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 4, pp. 583-591.
corrigé par Corrigendum: On multiperiodic words

In this note we consider the longest word, which has periods p 1 ,⋯,p n , and does not have the period gcd(p 1 ,⋯,p n ). The length of such a word can be established by a simple algorithm. We give a short and natural way to prove that the algorithm is correct. We also give a new proof that the maximal word is a palindrome.

DOI : 10.1051/ita:2006042
Classification : 68R15
Mots-clés : periodicity, combinatorics on words 
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     title = {On multiperiodic words},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {583--591},
     publisher = {EDP-Sciences},
     volume = {40},
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Holub, Štěpán. On multiperiodic words. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 4, pp. 583-591. doi : 10.1051/ita:2006042. http://archive.numdam.org/articles/10.1051/ita:2006042/

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