Look and Say Fibonacci
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 4, pp. 729-746
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The (Look and Say) derivative of a word is obtained by writing the number of consecutive equal letters when the word is spelled from left to right. For example, (two , one , two ). We start the study of the behaviour of binary words generated by morphisms under the operator, focusing in particular on the Fibonacci word.
DOI :
10.1051/ita:2007060
Classification :
68R15
Keywords: look and say sequence, Conway, binary words, Fibonacci word, morphisms, Lyndon factorization
Keywords: look and say sequence, Conway, binary words, Fibonacci word, morphisms, Lyndon factorization
@article{ITA_2008__42_4_729_0,
author = {S\'e\'ebold, Patrice},
title = {Look and {Say} {Fibonacci}},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {729--746},
year = {2008},
publisher = {EDP-Sciences},
volume = {42},
number = {4},
doi = {10.1051/ita:2007060},
mrnumber = {2458704},
zbl = {1155.68071},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2007060/}
}
TY - JOUR AU - Séébold, Patrice TI - Look and Say Fibonacci JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2008 SP - 729 EP - 746 VL - 42 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ita:2007060/ DO - 10.1051/ita:2007060 LA - en ID - ITA_2008__42_4_729_0 ER -
%0 Journal Article %A Séébold, Patrice %T Look and Say Fibonacci %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2008 %P 729-746 %V 42 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ita:2007060/ %R 10.1051/ita:2007060 %G en %F ITA_2008__42_4_729_0
Séébold, Patrice. Look and Say Fibonacci. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 4, pp. 729-746. doi: 10.1051/ita:2007060
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