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  1. Home > Articles & Issues >
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  3. Latin square Thue-Mo ...
Article

Latin square Thue-Morse sequences are overlap-free

C. Robinson Tompkins (1)
(1) Department of Mathematics [Columbia]
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Imported on
March 26, 2015
Published on
January 1, 2007
Last modified on
March 31, 2025
Volume 9
vol. 9:1
Automata, Logic and Semantics
DOI
10.46298/dmtcs.400
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https://about.hal.science/hal-authorisation-v1
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Latin square Thue-Morse sequences are overlap-free

C. Robinson Tompkins (1)
(1) Department of Mathematics [Columbia]
Abstract
We define a morphism based upon a Latin square that generalizes the Thue-Morse morphism. We prove that fixed points of this morphism are overlap-free sequences, generalizing results of Allouche - Shallit and Frid.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
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