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- W2964971186 abstract "We consider the circular pattern matching with k mismatches (k-CPM) problem in which one is to compute the minimal Hamming distance of every length-m substring of T and any cyclic rotation of P, if this distance is no more than k. It is a variation of the well-studied k-mismatch problem. A multitude of papers has been devoted to solving the k-CPM problem, but only average-case upper bounds are known. In this paper, we present the first non-trivial worst-case upper bounds for this problem. Specifically, we show an O(nk)-time algorithm and an O(n+nmk4)-time algorithm. The latter algorithm applies in an extended way a technique that was very recently developed for the k-mismatch problem Bringmann et al. (2019) [10]. A preliminary version of this work appeared at FCT 2019 [35]. In this version we improve the time complexity of the second algorithm from O(n+nmk5) to O(n+nmk4)." @default.
- W2964971186 created "2019-08-13" @default.
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- W2964971186 date "2021-02-01" @default.
- W2964971186 modified "2023-10-17" @default.
- W2964971186 title "Circular pattern matching with k mismatches" @default.
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- W2964971186 doi "https://doi.org/10.1016/j.jcss.2020.07.003" @default.
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