A Parallel Median Algorithm

Cover A Parallel Median Algorithm
A Parallel Median Algorithm
Richard Cole
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We note those items associated with an item y cannot be larger than v; r items are associated with y. We deduce the kth smallest item in 7 is at least the {kr)th smallest item in 5. The second claim follows, a The approximation algorithm for the jth item proceeds as follows. Let t = \j/r\ - s. E j ^ 8nj/r the smaller approximation to the jth smallest item is the (imaginary) 0th item (i. E. -0°). Otherwise it is the smaller approximation to the tth smallest item in T, obtained recursively.

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