On maximal repetitions in words
Identifieur interne : 002367 ( Istex/Curation ); précédent : 002366; suivant : 002368On maximal repetitions in words
Auteurs : Roman Kolpakov [Russie] ; Gregory Kucherov [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: A (fractional) repetition in a word w is a subword with the period of at most half of the subword length. We study maximal repetitions occurring in w, that is those for which any extended subword of w has a bigger period. The set of such repetitions represents in a compact way all repetitions in w. We first study maximal repetitions in Fibonacci words — we count their exact number, and estimate the sum of their exponents. These quantities turn out to be linearly-bounded in the length of the word. We then prove that the maximal number of maximal repetitions in general words (on arbitrary alphabet) of length n is linearly-bounded in n, and we mention some applications and consequences of this result.
Url:
DOI: 10.1007/3-540-48321-7_31
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