Lyndon words

Štěpán Holub 🌐 and Štěpán Starosta 🌐

May 24, 2021

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.


Lyndon words are words lexicographically minimal in their conjugacy class. We formalize their basic properties and characterizations, in particular the concepts of the longest Lyndon suffix and the Lyndon factorization. Most of the work assumes a fixed lexicographical order. Nevertheless we also define the smallest relation guaranteeing lexicographical minimality of a given word (in its conjugacy class).


BSD License


August 17, 2023
Updated to version v1.10.1.


Related publications

Session Combinatorics_Words_Lyndon