no. 4
On multiperiodic words
RAIRO. Theoretical Informatics and 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
Keywords: periodicity, combinatorics on words 
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     author = {Holub, \v{S}t\v{e}p\'an},
     title = {On multiperiodic words},
     journal = {RAIRO. Theoretical Informatics and Applications},
     pages = {583--591},
     year = {2006},
     publisher = {EDP-Sciences},
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     number = {4},
     doi = {10.1051/ita:2006042},
     mrnumber = {2277051},
     zbl = {1110.68121},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ita:2006042/}
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Holub, Štěpán. On multiperiodic words. RAIRO. Theoretical Informatics and Applications, Tome 40 (2006) no. 4, pp. 583-591. doi: 10.1051/ita:2006042

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