External Inverse Pattern Matching

نویسندگان

  • Leszek Gasieniec
  • Piotr Indyk
  • Piotr Krysta
چکیده

In this paper we consider the externa//nverse pattern match/ng problem. Given a text T of length n over an ordered alphabet ,U and a number m <_ n, the goal is to find a pattern ~-~MAX ~ ~rn which is not a subword of T and which maximizes the sum of Hamming distances between ~MAX and all subwords of T of length m. We present an optimal O(nloga)-time (where a = 1/71) algorithm for the external inverse pattern matching problem. This substantially improves the O(nm log a)-time algorithm given in [2]. Moreover we discuss briefly fast parallel implementation of our algorithm on the CREW PRAM model.

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تاریخ انتشار 1997