A~random algorithm for multiselection
Diskretnaya Matematika, Tome 18 (2006) no. 3, pp. 95-101
Voir la notice de l'article provenant de la source Math-Net.Ru
Given a set $S$ of $n$ elements drawn from a linearly ordered set and
a set $K=\{k_1,k_2,\ldots,k_r\}$ of positive integers between 1 and
$n$, the multiselection problem is to select the $k_i$th smallest element for
all values of $i$, $1\le i\le r$.
We present an efficient randomised algorithm to solve this problem
in time $O(n\ln r)$ with probability at least $1-cn^{-1}$, where $c$ is a
positive constant.
@article{DM_2006_18_3_a6,
author = {M. H. Alsuwaiyel},
title = {A~random algorithm for multiselection},
journal = {Diskretnaya Matematika},
pages = {95--101},
publisher = {mathdoc},
volume = {18},
number = {3},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2006_18_3_a6/}
}
M. H. Alsuwaiyel. A~random algorithm for multiselection. Diskretnaya Matematika, Tome 18 (2006) no. 3, pp. 95-101. http://geodesic.mathdoc.fr/item/DM_2006_18_3_a6/