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C. Robinson Tompkins

Publications and source records attributed to C. Robinson Tompkins.

2 recordsLinked to original sources

The Morphisms With Unstackable Image Words

In an attempt to classify all of the overlap-free morphisms constructively using the Latin-square morphism, we came across an interesting counterexample, the Leech square-free morphism. We generalize the combinatorial properties of the Leech square-free morphism to gain insights on a larger class of both overlap-free morphisms and square-free morphisms.

cs.FL

Latin Square Thue-Morse Sequences are Overlap-Free

We define a morphism based upon a Latin square that generalizes the Thue-Morse morphism. We prove that fixed points of this morphism are overlap-free sequences generalizing results of Allouche - Shallit and Frid.

math.NT