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

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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.

DOI : 10.1051/ita:2002006
Classification : 68R15, 68R05
Keywords: special factor, characteristic parameter, repeated factor
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     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},
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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

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