On a characteristic property of ARNOUX–RAUZY sequences

Issue		RAIRO-Theor. Inf. Appl. Volume 36, Number 4, October-December 2002


Page(s)		385 - 388
DOI		10.1051/ita:2003005

Theoret. Informatics Appl. 36, 385-388 (2002)
DOI: 10.1051/ita:2003005

On a characteristic property of ARNOUX-RAUZY sequences

Jacques Justin¹ and Giuseppe Pirillo²

¹ LIAFA, Université Paris VII, Case 7014, 2 place Jussieu, 75251 Paris Cedex 05, France; justin@liafa.jussieu.fr.
² IAMI, NCR, Viale Morgagni 67/a, 50134 Firenze, Italy; pirillo@udini.math.unifi.it.

(Received April, 2002. Accepted November, 2002)

Abstract
Here we give a characterization of Arnoux-Rauzy sequences by the way of the lexicographic orderings of their alphabet.

Mathematics Subject Classification. 68R15

Key words: Lexicographic order -- Arnoux-Rauzy sequence -- Episturmian word -- Sturmian word

© EDP Sciences 2002

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