The Prague Stringology Conference 2006

Srečko Brlek and Xavier Provençal

On the Problem of Deciding If a Polyomino Tiles the Plane by Translation

Abstract:
The words that tile the plane by translation are characterized by the Beauquier-Nivat condition. By using the constant time algorithms for computing the longest common extensions in two words, we provide a linear time algorithm in the case of pseudo-square polyominoes, improving the previous quadratic algorithm of Gambini and Vuillon. For pseudo-hexagon polyominoes not containing arbitrarily large square factors we also have a linear algorithm.

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