A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2011; you can also visit the original URL.
The file type is application/pdf
.
Sorting in Linear Time?
1998
Journal of computer and system sciences (Print)
We show that a unit-cost RAM with a word length of w bits can sort n integers in the range O. . 2W -1 in O (n log log n) time, for arbitrary w z log n, a significant improvement over the bound of O (n-) achieved by the fusion trees of Fredman and Willard. Provided that w 2 (log n)z+', for some fixed e > 0, the sorting can even be accomplished in linear expected time with a randomized algorithm. Both of our algorithms parallelize without loss on a unitcost PRAM with a word length of w bits. The
doi:10.1006/jcss.1998.1580
fatcat:czaka6rbejgdtgzcunuyfix42i