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Shortest Repetition-Free Words Accepted by Automata

Published 10 Apr 2013 in cs.FL, cs.DM, and math.CO | (1304.2959v1)

Abstract: We consider the following problem: given that a finite automaton $M$ of $N$ states accepts at least one $k$-power-free (resp., overlap-free) word, what is the length of the shortest such word accepted? We give upper and lower bounds which, unfortunately, are widely separated.

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