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On the distribution of characteristic parameters of words

Published online by Cambridge University Press:  15 December 2002

Arturo Carpi  and
Aldo de Luca
Arturo Carpi
Affiliation:
Dipartimento di Matematica e Informatica, Università di Perugia, via Vanvitelli 1, 06123 Perugia, Italy; [email protected].
Aldo de Luca
Affiliation:
Dipartimento di Matematica dell'Università di Roma “La Sapienza”, piazzale Aldo Moro 2, 00185 Roma, Italy and Centro Interdisciplinare “B. Segre”, Accademia dei Lincei, via della Lungara 10, 00100 Roma, Italy; [email protected].
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Abstract

For any finite word w on a finite alphabet, we consider the basic parameters Rw and Kw of w defined as follows: Rw is the minimal natural number for which w has no right special factor of length Rw and Kw is the minimal natural number for which w has no repeated suffix of length Kw. In this paper we study the distributions of these parameters, here called characteristic parameters, among the words of each length on a fixed alphabet.

Keywords

Special factorcharacteristic parameterrepeated factor.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 36 , Issue 1 , January 2002 , pp. 67 - 96
Copyright
© EDP Sciences, 2002

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References

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