WORDS AVOIDING $\frac{7}{3}$-POWERS AND THE THUE–MORSE MORPHISM

Autor:	Narad Rampersad
Rok vydání:	2005
Předmět:	Discrete mathematics Binary number Term (logic) Fixed point Morse code law.invention Combinatorics Combinatorics on words Morphism law Computer Science (miscellaneous) Word (group theory) Complement (set theory) Mathematics
Zdroj:	International Journal of Foundations of Computer Science. 16:755-766
ISSN:	1793-6373 0129-0541
Popis:	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 'overlap-free' is replaced with '[Formula: see text]-power-free'. Furthermore, the number [Formula: see text] is best possible.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::95233b69e18e5811d2e4b79885101989 https://doi.org/10.1142/s0129054105003273 Zobrazit plný text záznamu