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On multiperiodic words

Published online by Cambridge University Press:  08 November 2006

Štěpán Holub
Štěpán Holub*
Affiliation:
Department of Algebra, Charles University, Sokolovská 83, 175 86 Praha, Czech Republic; holub@karlin.mff.cuni.cz
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Abstract

In this note we consider the longest word, which has periods p1,...,pn , and does not have the period gcd(p1,...,pn ).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.

Keywords

Periodicitycombinatorics on words.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 40 , Issue 4 , October 2006 , pp. 583 - 591
Copyright
© EDP Sciences, 2006

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References

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