RAIRO-Theor. Inf. Appl.
Volume 44, Number 1, January-March 2010Special issue dedicated to the 12th "Journées Montoises d'Informatique Théorique"
|Page(s)||113 - 124|
|Published online||11 February 2010|
Infinite words containing squares at every position
Department of Mathematics and Statistics,
University of Winnipeg, 515 Portage Avenue, Winnipeg,
Manitoba R3B 2E9, Canada; email@example.com, firstname.lastname@example.org
Richomme asked the following question: what is the infimum of the real numbers α > 2 such that there exists an infinite word that avoids α-powers but contains arbitrarily large squares beginning at every position? We resolve this question in the case of a binary alphabet by showing that the answer is α = 7/3.
Mathematics Subject Classification: 68R15.
Key words: Infinite words / power-free words / squares.
© EDP Sciences, 2010
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