A Note on a Conjecture of Duval and Sturmian Words

Issue		RAIRO-Theor. Inf. Appl. Volume 36, Number 1, January-March 2002


Page(s)		1 - 3
DOI		10.1051/ita:2002001

Theoret. Informatics Appl. 36, 1-3 (2002)
DOI: 10.1051/ita:2002001

A Note on a Conjecture of Duval and Sturmian Words

Filippo Mignosi¹ and Luca Q. Zamboni²

¹ Dipartimento di Matematica e Applicazioni, Università degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italia; mignosi@dipmat.math.unipa.it.
² Department of Mathematics, P.O. Box 311430, University of North Texas, Denton, TX 76203-1430, USA; luca@unt.edu.

(Received February 5, 2001. Accepted June, 2001.)

Abstract
We prove a long standing conjecture of Duval in the special case of Sturmian words.

Mathematics Subject Classification. 68R15, 37B10.

Key words: Bordered words -- Sturmian words.

© EDP Sciences 2002

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