On the distribution of characteristic parameters of words

Carpi, Arturo; Luca, Aldo de

doi:10.1051/ita:2002006

Carpi, Arturo ; Luca, Aldo de

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 36 (2002) no. 1, pp. 67-96.

Résumé

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

MR Zbl

DOI : 10.1051/ita:2002006

Classification : 68R15, 68R05
Mots-clés : special factor, characteristic parameter, repeated factor

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     author = {Carpi, Arturo and Luca, Aldo de},
     title = {On the distribution of characteristic parameters of words},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {67--96},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {1},
     year = {2002},
     doi = {10.1051/ita:2002006},
     mrnumber = {1928159},
     zbl = {1032.68125},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ita:2002006/}
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Carpi, Arturo; Luca, Aldo de. On the distribution of characteristic parameters of words. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 36 (2002) no. 1, pp. 67-96. doi : 10.1051/ita:2002006. http://www.numdam.org/articles/10.1051/ita:2002006/

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