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Searching for Zimin patterns
2015
Theoretical Computer Science
In the area of pattern avoidability the central role is played by special words called Zimin patterns. The symbols of these patterns are treated as variables and the rank of the pattern is its number of variables. Zimin type of a word x is introduced here as the maximum rank of a Zimin pattern matching x. We show how to compute Zimin type of a word on-line in linear time. Consequently we get a quadratic time, linear-space algorithm for searching Zimin patterns in words. Then we how the Zimin
doi:10.1016/j.tcs.2015.01.004
fatcat:zy3ngm3kqbhxtdqqqdhxerzpq4