ACM Home Page
Please provide us with feedback. Feedback
Optimal parallel selection
Full text PdfPdf (926 KB)
Source Symposium on Discrete Algorithms archive
Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms table of contents
Baltimore, Maryland
SESSION: Session 1A table of contents
Pages: 1 - 9  
Year of Publication: 2003
ISBN:0-89871-538-5
Author
Yijie Han  University of Missouri at Kansas City, Kansas City, MO
Sponsors
: SIAM Activity Group on Discrete Mathematics
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
Society for Industrial and Applied Mathematics  Philadelphia, PA, USA
Bibliometrics
Downloads (6 Weeks): 3,   Downloads (12 Months): 18,   Citation Count: 1
Additional Information:

abstract   references   cited by   index terms   collaborative colleagues  

Tools and Actions: Review this Article  

ABSTRACT

We present an optimal parallel selection algorithm on the EREW PRAM. This algorithm runs in O(log n) time with n/log n processors. This complexity matches the known lower bound for parallel selection on the EREW PRAM model. We therefore close this problem which has been open for more than a decade.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
M. Ajtai. Recursive construction for 3-regular expanders. Combinatorica, vol. 14, No. 4, 379--416(1994).
 
2
 
3
 
4
M. Blum, R. W. Floyd, V. Pratt, R. L. Rivest, and R. E. Tarjan. Time bounds for selection. Journal of Computer and System Sciences, 7, (1973), pp. 448--461.
 
5
 
6
K. W. Chong, Y. Han, Y. Igarashi, T. W. Lam. Improve parallel computation with fast integer sorting. Proceedings of the 5th International Conference on Computing and Combinatorics, Lecture Notes in Computer Sciecne 1627, 452--461(1999).
 
7
 
8
 
9
 
10
M. Fürer and B. Raghavachari. Parallel edge coloring approximation. Parallel Processing Letters6 (1996), 321--329.
11
 
12
 
13
G. A. Magulis. Explicit construction of concentrators. Problemy Peredachi Informatsii, vol. 9, no. 4, 71--80(1973). (English translation in Problems of Inform. Transmission, 325--332(1975)).
 
14
 
15
R. Reischuk. Probabilistic parallel algorithms for sorting and selection. SIAM J. on Computing, 14 (1985), pp. 396--409.
 
16
 
17
M. Snir. On parallel searching. SIAM J. Comput., 14, 3(Aug. 1985), pp. 688--708.
 
18
L. G. Valiant. Parallelism in comparison problems. SIAM Journal on Computing, 4 (1975), pp. 348--355.
 
19
R. A. Wagner, Y. Han. Parallel algorithms for bucket sorting and the data dependent prefix problem. Proc. 1986 Int. Conf. on Parallel Processing, 924--930(August 1986).
20