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pro vyhledávání: '"Thue-Morse morphism"'
Autor:
Rampersad, Narad
In 1982, Seebold showed that the only overlap-free binary words that are the fixed points of non-identity morphisms are the Thue-Morse word and its complement. We strengthen Seebold's result by showing that the same result holds if the term 'overlap-
Externí odkaz:
http://arxiv.org/abs/math/0307401
Autor:
Séébold, Patrice
Publikováno v:
In Theoretical Computer Science 2003 292(1):283-298
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Akademický článek
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Autor:
Patrice Séébold
Publikováno v:
Theoretical Computer Science. 292(1):283-298
In 1912, the Norwegian mathematician Axel Thue was the first to describe an overlap-free binary infinite word. This word was generated by a morphism which is called, since the works of Morse, the Thue–Morse morphism. Here, we present two generaliza
Autor:
Narad Rampersad
Publikováno v:
International Journal of Foundations of Computer Science. 16:755-766
In 1982, Séébold showed that the only overlap-free binary words that are the fixed points of non-identity morphisms are the Thue–Morse word and its complement. We strengthen Séébold's result by showing that the same result holds if the term 'ov
Autor:
Narad Rampersad
Publikováno v:
Developments in Language Theory ISBN: 9783540240143
Developments in Language Theory
Developments in Language Theory
In 1982, Seebold showed that the only overlap-free binary words that are the fixed points of non-identity morphisms are the Thue–Morse word and its complement. We strengthen Seebold’s result by showing that the same result holds if the term ‘ov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cd56879b0cac65a255d49d0ac83339f
https://doi.org/10.1007/978-3-540-30550-7_30
https://doi.org/10.1007/978-3-540-30550-7_30
Morphisms are widely studied combinatorial objects that can be used for generating infinite families of words. In the context of Information theory, injective morphisms are called (variable length) codes. In Data compression, the morphisms, combined
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40c05defe104123912d1493b72c78def
Autor:
Rampersad, Narad
Publikováno v:
International Journal of Foundations of Computer Science; Aug2005, Vol. 16 Issue 4, p755-766, 12p
Autor:
Patrice Séébold
Publikováno v:
Theoretical Computer Science. 307:179-197
Prouhet words are a natural generalization, over alphabets with more than two letters, of the well known binary Thue–Morse word.We give a unique factorization of these words in a sequence of decreasing Lyndon words, then generalizing such a decompo