@inproceedings{3b3e9a00ae434eb0a5c0fc23b379d549,
title = "On parallel hashing and integer sorting",
abstract = "The problem of sorting n integers from a restricted range [1..m], where m is superpolynomial in n, is considered. An o(n log n) time randomized algorithm is given. Our algorithm takes O(n log log m) expected time and O(n) space. (Thus, for m=npolylog(n) we have an O(n log log n) time algorithm.) The algorithm is parallelizable. The resulting parallel algorithm achieves optimal speed up. Some features of the algorithm make us believe that it is relevant for practical applications. A result of independent interest is a parallel hashing technique. The expected construction time is logarithmic using an optimal number of processors, and searching for a value takes O(1) time in the worst case. This technique enables drastic reduction of space requirements for the price of using randomness. Applicability of the technique is demonstrated for the parallel sorting algorithm, and for some parallel string matching algorithms. The parallel sorting algorithm is designed for a strong and non standard model of parallel computation. Efficient simulations of the strong model on a CRCW PRAM are introduced. One of the simulations even achieves optimal speed up. This is probably a first optimal speed up simulation of a certain kind.",
author = "Yossi Matias and Uzi Vishkin",
note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1990.; 17th International Colloquium on Automata, Languages and Programming, 1990 ; Conference date: 16-07-1990 Through 20-07-1990",
year = "1990",
doi = "10.1007/bfb0032070",
language = "אנגלית",
isbn = "9783540528265",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "729--743",
editor = "Paterson, {Michael S.}",
booktitle = "Automata, Languages and Programming - l7th International Colloquium, Proceedings",
address = "גרמניה",
}