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Justin, Jacques; Pirillo, Giuseppe

On a characteristic property of Arnoux-Rauzy sequences. (English) Zbl 1060.68094

Theor. Inform. Appl. 36, No. 4, 385-388 (2002).
Summary: Here we give a characterization of Arnoux-Rauzy sequences by the way of the lexicographic orderings of their alphabet.

Cited in 12 Documents

MSC:

68R15 Combinatorics on words
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\textit{J. Justin} and \textit{G. Pirillo}, Theor. Inform. Appl. 36, No. 4, 385--388 (2002; Zbl 1060.68094)
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References:

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[2] J. Berstel , Recent results in Sturmian words , in Developments in Language Theory II, edited by J. Dassow, G. Rozenberg&A. Salomaa. World Scientific ( 1996 ) 13 - 24 . MR 1466181 | Zbl 1096.68689 · Zbl 1096.68689
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[4] X. Droubay , J. Justin and G. Pirillo , Episturmian words and some constructions of de Luca and Rauzy . Theoret. Comput. Sci. 255 ( 2001 ) 539 - 553 . MR 1819089 | Zbl 0981.68126 · Zbl 0981.68126
[5] J. Justin , On a paper by Castelli , Mignosi, Restivo. RAIRO: Theoret. Informatics Appl. 34 ( 2000 ) 373 - 377 . Numdam | MR 1829233 | Zbl 0987.68056 · Zbl 0987.68056
[6] J. Justin and G. Pirillo , Episturmian words and Episturmian morphisms . Theoret. Comput. Sci. 276 ( 2002 ) 281 - 313 . MR 1896357 | Zbl 1002.68116 · Zbl 1002.68116
[7] M. Lothaire , Algebraic Combinatorics on Words . Cambridge University Press ( 2002 ). MR 1905123 | Zbl 1001.68093 · Zbl 1001.68093
[8] G. Pirillo , Characterization of infinite Surmian words (in preparation).
[9] R.N. Risley and L.Q. Zamboni , A generalization of Sturmian sequences, combinatorial structure and transcendence . Acta Arithmetica 95 ( 2000 ) 167 - 184 . Article | MR 1785413 | Zbl 0953.11007 · Zbl 0953.11007
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