Lyndon Factorization Algorithms for Small Alphabets and Run-Length Encoded Strings

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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en

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11

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Algorithms, Volume 12, issue 6

Abstract

We present two modifications of Duval's algorithm for computing the Lyndon factorization of a string. One of the algorithms has been designed for strings containing runs of the smallest character. It works best for small alphabets and it is able to skip a significant number of characters of the string. Moreover, it can be engineered to have linear time complexity in the worst case. When there is a run-length encoded string R of length rho, the other algorithm computes the Lyndon factorization of R in O (rho) time and in constant space. It is shown by experimental results that the new variations are faster than Duval's original algorithm in many scenarios.

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Ghuman, S S, Giaquinta, E & Tarhio, J 2019, 'Lyndon Factorization Algorithms for Small Alphabets and Run-Length Encoded Strings', Algorithms, vol. 12, no. 6, 124. https://doi.org/10.3390/a12060124