RAIRO-Theor. Inf. Appl.
Volume 36, Number 1, January/March 2002
|Page(s)||67 - 96|
|Published online||15 December 2002|
On the distribution of characteristic parameters of words
Dipartimento di Matematica e Informatica, Università di Perugia, via
06123 Perugia, Italy; firstname.lastname@example.org.
2 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@example.com.
Accepted: 27 May 2002
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.
Mathematics Subject Classification: 68R15 / 68R05
Key words: Special factor / characteristic parameter / repeated factor.
© EDP Sciences, 2002
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