For any finite word on a finite alphabet, we consider the basic parameters and of defined as follows: is the minimal natural number for which has no right special factor of length and is the minimal natural number for which has no repeated suffix of length . In this paper we study the distributions of these parameters, here called characteristic parameters, among the words of each length on a fixed alphabet.
@article{ITA_2002__36_1_67_0, 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}, volume = {36}, year = {2002}, pages = {67-96}, doi = {10.1051/ita:2002006}, mrnumber = {1928159}, zbl = {1032.68125}, language = {en}, url = {http://dml.mathdoc.fr/item/ITA_2002__36_1_67_0} }
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) pp. 67-96. doi : 10.1051/ita:2002006. http://gdmltest.u-ga.fr/item/ITA_2002__36_1_67_0/
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