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.
Keywords: special factor, characteristic parameter, repeated factor
@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},
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 = {https://www.numdam.org/articles/10.1051/ita:2002006/}
}
TY - JOUR AU - Carpi, Arturo AU - Luca, Aldo de TI - On the distribution of characteristic parameters of words JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2002 SP - 67 EP - 96 VL - 36 IS - 1 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ita:2002006/ DO - 10.1051/ita:2002006 LA - en ID - ITA_2002__36_1_67_0 ER -
%0 Journal Article %A Carpi, Arturo %A Luca, Aldo de %T On the distribution of characteristic parameters of words %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2002 %P 67-96 %V 36 %N 1 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ita:2002006/ %R 10.1051/ita:2002006 %G en %F 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, Volume 36 (2002) no. 1, pp. 67-96. doi: 10.1051/ita:2002006
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