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

Sukhpal Singh Ghuman, Emanuele Giaquinta, Jorma Tarhio*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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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.

Original languageEnglish
Article number124
Number of pages11
Issue number6
Publication statusPublished - Jun 2019
MoE publication typeA1 Journal article-refereed


  • Lyndon factorization
  • string algorithms
  • run-length encoding


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