English

Left Lyndon tree construction

Data Structures and Algorithms 2020-11-26 v1 Formal Languages and Automata Theory

Abstract

We extend the left-to-right Lyndon factorisation of a word to the left Lyndon tree construction of a Lyndon word. It yields an algorithm to sort the prefixes of a Lyndon word according to the infinite ordering defined by Dolce et al. (2019). A straightforward variant computes the left Lyndon forest of a word. All algorithms run in linear time on a general alphabet, that is, in the letter-comparison model.

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Cite

@article{arxiv.2011.12742,
  title  = {Left Lyndon tree construction},
  author = {Golnaz Badkobeh and Maxime Crochemore},
  journal= {arXiv preprint arXiv:2011.12742},
  year   = {2020}
}

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18 pages