Randomized Speed Ups in Parallel Computation

Cover Randomized Speed Ups in Parallel Computation
Randomized Speed Ups in Parallel Computation
U Vishkin
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The reason for this is that after the first pulse we virtually delete p elements from the domain of the permutation a ( { 1, m/p+l, . . . } ) as well as from the range of a (the image of { 1, m/p+l, . . . } - the set ip. Thus, all possible permutations on the remaining m-p elements of the domain ara equally likely once the mapping of the p elements { 1, m/p+l, . . . } is fixed.
The analysis of the first pulse carries through and results in the following: The probabilty that the number of surviv
...ors of the second pulse satisfies > (3/2)p(p-l)/(m-p) + 1 is (3/2)p(p-l)/(m-ip) + 1 is

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