TY - GEN
T1 - Selection networks with 8n log2n size and O(log n) depth
AU - Jimbo, Shuji
AU - Maruoka, Akira
N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1992.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
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).
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U2 - 10.1007/3-540-56279-6_69
DO - 10.1007/3-540-56279-6_69
M3 - Conference contribution
AN - SCOPUS:85029620405
SN - 9783540562795
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
A2 - Nishizeki, Takao
A2 - Ibaraki, Toshihide
A2 - Iwama, Kazuo
A2 - Yamashita, Masafurni
A2 - Inagaki, Yasuyoshi
PB - Springer Verlag
T2 - 3rd International Symposium on Algorithms and Computation, ISAAC 1992
Y2 - 16 December 1992 through 18 December 1992
ER -