Lyndon factorization of the Prouhet words
✍ Scribed by Patrice Séébold
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 274 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
✦ Synopsis
Prouhet words are a natural generalization, over alphabets with more than two letters, of the well known binary Thue-Morse word.
We give a unique factorization of these words in a sequence of decreasing Lyndon words, then generalizing such a decomposition given by Ido and Melan con for the Thue-Morse word.
📜 SIMILAR VOLUMES
Example 3. Let A be totally ordered by <. One may extend this order lexicographically to the whole set 2 This is the name Lothaire gives them [ 41. Viennot [ 121 modestly calls them regular.
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