Published online by Cambridge University Press: 08 June 2023
This chapter attacks an easy-to-state problem, which is to select a subsequence of items uniformly at random from a given input sequence. This problem is the backbone of many randomized algorithms, and admits solutions that are algorithmically challenging to design and analyze. In particular, this chapter deals with the two cases where the size of the input sequence is either known or unknown to the algorithm, and also addresses the cases where the sequence length is smaller or larger than the internal memory of the computer. This will allowus to introduce another model of computation, the streaming model.
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