| Issue |
RAIRO-Theor. Inf. Appl.
Volume 36, Number 1, January/March 2002
|
|
|---|---|---|
| Page(s) | 67 - 96 | |
| DOI | https://doi.org/10.1051/ita:2002006 | |
| Published online | 15 December 2002 | |
On the distribution of characteristic parameters of words
1
Dipartimento di Matematica e Informatica, Università di Perugia, via
Vanvitelli 1,
06123 Perugia, Italy; carpi@dipmat.unipg.it.
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; deluca@mat.uniroma1.it.
Received:
15
November
2001
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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