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Infinite words containing squares at every position
(EDP Sciences, 2010)
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 ...
Avoidability index for binary patterns with reversal
(The Electronic Journal of Combinatorics, 2016-02-19)
For every pattern p over the alphabet {x, x^R, y, y^R}, we specify the least k such that p is k-avoidable.