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R.Cole, Z. Galil, R. Hariharan, S. Muthukrishnan, and K. Park. Parallel two dimensional witness computation. In Information and Computation, to appear.

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Unknown - Information Processing Letters   (Correct)

....5.2. Finding the maximum and related problems Several problems have fl(log log[p , 1 n) rounds lower bounds in the parallel comparison model. The list includes: finding the maximum [26] merging two lists of equal length [10] string matching [ 12] two dimensional array matching [ 12,14]; testing if a string is square free [4] and finding initial palindromes in a string [13] The following lemma, whose proof is similar to Lemma 5.3 below, shows that these lower bounds can be transformed into fl(log logip , 1 n) lower bounds for the PRAM model. Lemma 5.2. The lower bounds ....

R. Cole, Z. Galil, R. Hariharan, S. Muthukrishnan and K. Park, Parallel two dimensional witness computation, Manuscript, 1993.


Transforming Comparison Model Lower Bounds to the PRAM - Breslauer, Dubhashi (1995)   (5 citations)  (Correct)

....the maximum and related problems Several problems have Omega Gamma211 log dp=n 1e n) rounds lower bounds in the parallel comparison model. The list includes: ffl finding the maximum [24] ffl merging two lists of equal length [10] ffl string matching [11] ffl two dimensional array matching [13]; ffl testing if a string is square free [4] and ffl finding initial palindromes in a string [12] The following lemma, whose proof is similar to Lemma 5.3 below, shows that these lower bounds can be transformed into Omega Gamma 31 log dp=n 1e n) lower bounds for the PRAM model. Lemma 5.2 The ....

R. Cole, Z. Galil, R. Hariharan, S. Muthukrishnan, and K. Park. Parallel Two Dimensional Witness Computation. Manuscript, 1993.


Transforming Comparison Model Lower Bounds to the.. - Breslauer.. (1995)   (5 citations)  (Correct)

....the maximum and related problems Several problems have Omega Gamma187 log dp=n 1e n) rounds lower bounds in the parallel comparison model. The list includes: ffl finding the maximum [26] ffl merging two lists of equal length [10] ffl string matching [12] ffl two dimensional array matching [12, 14]; ffl testing if a string is square free [4] and ffl finding initial palindromes in a string [13] The following lemma, whose proof is similar to Lemma 5.3 below, shows that these lower bounds can be transformed into Omega Gamma 23 log dp=n 1e n) lower bounds for the PRAM model. Lemma 5.2 The ....

R. Cole, Z. Galil, R. Hariharan, S. Muthukrishnan, and K. Park. Parallel Two Dimensional Witness Computation. Manuscript, 1993.


Work-Time-Optimal Parallel Algorithms for String Problems.. - Czumaj, al. (1995)   (3 citations)  (Correct)

....complexities. In this abstract we only discuss the first four problems. For all these eight problems there are wt optimal algorithms known on the CRCW PRAM : linear work and constant time for Problems 1 [15] and 3 [12] linear work and O(log log n) time for Problems 2 [6] 4 [12] 5 [4] 6 [13], 8 [4] O(n log n) work and O(log log n) time for Problem 7 [3] The Omega Gammae 4 log n) lower bounds for the time follow from [7] The Omega Gamma n log n) lower bound for the work of Problem 7 follows from [23] A logarithmic lower bound for all these problems on the CREW PRAM follows ....

R. Cole, Z. Galil, R. Hariharan, S. Muthukrishnan and K. Park, Parallel two dimensional witness computation, Manuscript, 1994.


Primitives for Online Time Series Analysis - December Summary Data   (Correct)

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R.Cole, Z. Galil, R. Hariharan, S. Muthukrishnan, and K. Park. Parallel two dimensional witness computation. In Information and Computation, to appear.


Primitives for Online Time Series Analysis - December Summary Data   (Correct)

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R.Cole, Z. Galil, R. Hariharan, S. Muthukrishnan, and K. Park. Parallel two dimensional witness computation. In Information and Computation, to appear.


Primitives for Online Time Series Analysis - December The Vision   (Correct)

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R.Cole, Z. Galil, R. Hariharan, S. Muthukrishnan, and K. Park. Parallel two dimensional witness computation. In Information and Computation, to appear. 19

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