The constant of recognizability is computable for primitive morphisms
Journal of integer sequences, Tome 20 (2017) no. 4
Mossé proved that primitive morphisms are recognizable. In this paper we give a computable upper bound for the constant of recognizability of such a morphism. This bound can be expressed using only the cardinality of the alphabet and the length of the longest image of a letter under the morphism.
Classification :
68R15, 68Q01
Keywords: combinatorics on words, substitution, recognizability, circularity
Keywords: combinatorics on words, substitution, recognizability, circularity
@article{JIS_2017__20_4_a0,
author = {Durand, Fabien and Leroy, Julien},
title = {The constant of recognizability is computable for primitive morphisms},
journal = {Journal of integer sequences},
year = {2017},
volume = {20},
number = {4},
zbl = {1359.68239},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a0/}
}
Durand, Fabien; Leroy, Julien. The constant of recognizability is computable for primitive morphisms. Journal of integer sequences, Tome 20 (2017) no. 4. http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a0/