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On maximal repetitions of arbitrary exponent
Authors:Roman Kolpakov  Pascal Ochem
Affiliation:a Moscow University, Russian Federation
b LIFL and INRIA Lille - Nord Europe, Lille, France
c LRI, Orsay, France
d J.-V. Poncelet Lab., Moscow, Russian Federation
Abstract:The first two authors have shown [1,2] (Kolpakov and Kucherov, 1999, 2000) that the sum of the exponents (and thus the number) of maximal repetitions of exponent at least 2 in a word (also called runs) is linear with respect to the length of the word. The exponent 2 in the definition of a run may seem arbitrary. In this paper, we consider maximal repetitions of exponent strictly greater than 1.
Keywords:Theory of computation   Combinatorial problems   Repetitions   Periodicities
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