Geodesic
On Christoffel classes
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 1, pp. 15-27
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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.

DOI : 10.1051/ita:2005038
Classification : 68R15
Keywords: words, Christoffel, sturmian, conjugation, geometric 
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     author = {Borel, Jean-Pierre and Reutenauer, Christophe},
     title = {On {Christoffel} classes},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {15--27},
     year = {2006},
     publisher = {EDP-Sciences},
     volume = {40},
     number = {1},
     doi = {10.1051/ita:2005038},
     mrnumber = {2197281},
     zbl = {1085.68116},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2005038/}
}
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Borel, Jean-Pierre; Reutenauer, Christophe. On Christoffel classes. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 1, pp. 15-27. doi: 10.1051/ita:2005038

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