| C.A.R. Hoare. Algorithm 63 (partition) and algorithm 65 (find). Comm. ACM, 4,7:666--677, 1961. |
....complexity is known to be 1:5n o(n) FR75, CM89] and it is shown in [DZ99] that any deterministic selection algorithm (even non uniform) must use (2 )n comparisons (the best deterministic algorithm [DZ01] uses about 2. 942n comparisons) Among randomized algorithms, Hoare s Find algorithm [Hoa61] uses O(log 2 n) random bits, but more than 1:5n o(n) comparisons. The [FR75] algorithm uses a polynomial number of random bits. We observe that [FR75] can be used with a pairwise independent sampler to use O(log n) random bits, and argue that there exist randomized selection algorithms that ....
C. A. R. Hoare. Algorithm 63 (PARTITION) and algorithm 65 (FIND). CACM, 4(7):321-322, 1961.
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C.A.R. Hoare. Algorithm 63 (partition) and algorithm 65 (find). Comm. ACM, 4,7:666--677, 1961.
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