Dynamic kk-Mismatch

Build a data structure that keeps track of a text TT (of length nn) and a pattern PP (of length mm) supporting 2 operations: - Update: performs a single-letter substitution in the pattern or the text. - Query(i): returns the Hamming distance between PP and T[i:i+m]T[i:i+m], or reports that the distance exceeds kk.

Parameters

  • mm: pattern length
  • nn: length of searchable text
  • kk: mismatch parameter
  • qq: number of queries

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Computational Model

Randomization

Approximation

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