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Exponential bounds for the running time of a selection algorithm. (English) Zbl 0555.68018
Hoare’s selection algorithm for finding the kth-largest element in a set of n elements is shown to use C comparisons where (i) $$E(C^ p)\leq A_ pn^ p$$ for some constant $$A_ p>0$$ and all $$p\geq 1$$; (ii) P(C/n$$\geq u)\leq (3/4)^{u(1+o(1))}$$ as $$u\to \infty$$. Exact values for the $$''A_ p''$$ and ”o(1)” terms are given.

##### MSC:
 68Q25 Analysis of algorithms and problem complexity
##### Keywords:
Hoare’s selection algorithm
##### Software:
Algorithm 489; Find
Full Text:
##### References:
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