Efficient Parallel And Serial Approximate String Matching
Efficient Parallel And Serial Approximate String Matching
Gad M Landau
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(Note that if ff, = fj, then, by observation (2), their nodes are the same). Step 1. 2. Consider the interval of integers [0, 1 m-2]. We define the singleton subintervals [0], [l], ... , [m-2] to be the subintervals of level 0. The \m/2] size-two subintervals [0, 1], [2, 3], [4, 5], ... Are said to be the subintervals of level 1. The m/2' size- 2' subintervals [0.... 2'-l] [2', ... , 2. 2'- 1], ... Are said to be the subintervals of level /. All these 0(m) subintervals are called the power-two ...subintervals of [0, ... , m-2]. 1. 2. 1. For each power-two subinterval find the minimum /, over the subinterval. We implement this computation using a balanced binary tree in the obvious way. This takes O(logm) time using m/logm processors. 1. 2. 2. For each ^ i
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