| Issue |
RAIRO-Theor. Inf. Appl.
Volume 40, Number 1, January-March 2006
|
|
|---|---|---|
| Page(s) | 15 - 27 | |
| DOI | https://doi.org/10.1051/ita:2005038 | |
| Published online | 15 October 2005 | |
On Christoffel classes
1
LACO, UMR CNRS 6090, 123 avenue Albert Thomas, 87060
Limoges Cedex, France; borel@unilim.fr
2
Université du Québec à
Montréal; Département de mathématiques; Case postale 8888,
succursale Centre-Ville, Montréal (Québec) H3C 3P8, Canada; christo@math.uqam.ca
Received:
June
2004
Accepted:
December
2004
We characterize conjugation classes of Christoffel words (equivalently of standard words) by the number of factors. We give several geometric proofs of classical results on these words and sturmian words.
Mathematics Subject Classification: 68R15
Key words: Words / Christoffel / sturmian / conjugation / geometric.
© EDP Sciences, 2006
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