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Avoiding large squares in infinite binary words
Narad Rampersad, Jeffrey Shallit, Ming-wei Wang
We consider three aspects of avoiding large squares in infinite binary words. First, we construct an infinite binary word avoiding both cubes xxx and squares yy with |y| >= 4; our…
math.CO2003
Cubefree binary words avoiding long squares
Narad Rampersad, Jeffrey Shallit, Ming-wei Wang
Entringer, Jackson, and Schatz conjectured in 1974 that every infinite cubefree binary word contains arbitrarily long squares. In this paper we show this conjecture is false: there…