Abstract
An (n, n/2)-selector is a comparator network that classifies a set of n values into two classes with the same number of values in such a way that each element in one class is at least as large as all of those in the other. Based on utilization of expanders, Pippenger[6] constructed (n, n/2)-selectors, whose size is asymptotic to 2n log2 n and whose depth is O((log n)2). In the same spirit, we obtain a relatively simple method to construct (n, n/2)-seleetors of depth O(log n). We construct (n, n/2)-selectors of size at most 8n log 2 n + O(n). Moreover, for arbitrary C > 3/log2 3 = 1.8927…, we construct (n, n/2)-selectors of size at most Cn log2n + O(n).
| Original language | English |
|---|---|
| Title of host publication | Algorithms and Computation - 3rd International Symposium, ISAAC 1992, Proceedings |
| Publisher | Springer Verlag |
| Pages | 165-174 |
| Number of pages | 10 |
| Volume | 650 LNCS |
| ISBN (Print) | 9783540562795 |
| DOIs | |
| Publication status | Published - 1992 |
| Externally published | Yes |
| Event | 3rd International Symposium on Algorithms and Computation, ISAAC 1992 - Nagoya, Japan Duration: Dec 16 1992 → Dec 18 1992 |
Publication series
| Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
|---|---|
| Volume | 650 LNCS |
| ISSN (Print) | 0302-9743 |
| ISSN (Electronic) | 1611-3349 |
Other
| Other | 3rd International Symposium on Algorithms and Computation, ISAAC 1992 |
|---|---|
| Country | Japan |
| City | Nagoya |
| Period | 12/16/92 → 12/18/92 |
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ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science(all)
Cite this
Selection networks with 8n log2n size and O(log n) depth. / Jinbo, Shuji; Maruoka, Akira.
Algorithms and Computation - 3rd International Symposium, ISAAC 1992, Proceedings. Vol. 650 LNCS Springer Verlag, 1992. p. 165-174 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 650 LNCS).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Selection networks with 8n log2n size and O(log n) depth
AU - Jinbo, Shuji
AU - Maruoka, Akira
PY - 1992
Y1 - 1992
N2 - An (n, n/2)-selector is a comparator network that classifies a set of n values into two classes with the same number of values in such a way that each element in one class is at least as large as all of those in the other. Based on utilization of expanders, Pippenger[6] constructed (n, n/2)-selectors, whose size is asymptotic to 2n log2 n and whose depth is O((log n)2). In the same spirit, we obtain a relatively simple method to construct (n, n/2)-seleetors of depth O(log n). We construct (n, n/2)-selectors of size at most 8n log 2 n + O(n). Moreover, for arbitrary C > 3/log2 3 = 1.8927…, we construct (n, n/2)-selectors of size at most Cn log2n + O(n).
AB - An (n, n/2)-selector is a comparator network that classifies a set of n values into two classes with the same number of values in such a way that each element in one class is at least as large as all of those in the other. Based on utilization of expanders, Pippenger[6] constructed (n, n/2)-selectors, whose size is asymptotic to 2n log2 n and whose depth is O((log n)2). In the same spirit, we obtain a relatively simple method to construct (n, n/2)-seleetors of depth O(log n). We construct (n, n/2)-selectors of size at most 8n log 2 n + O(n). Moreover, for arbitrary C > 3/log2 3 = 1.8927…, we construct (n, n/2)-selectors of size at most Cn log2n + O(n).
UR - http://www.scopus.com/inward/record.url?scp=85029620405&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85029620405&partnerID=8YFLogxK
U2 - 10.1007/3-540-56279-6_69
DO - 10.1007/3-540-56279-6_69
M3 - Conference contribution
SN - 9783540562795
VL - 650 LNCS
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 165
EP - 174
BT - Algorithms and Computation - 3rd International Symposium, ISAAC 1992, Proceedings
PB - Springer Verlag
ER -