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Author Yao, Andrew Chi-Chih ♦ Yao, Foong Frances
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1976
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract Let $\textit{M}(\textit{m,$ n) be the minimum number or comparators needed in an (m, n)-merging network. It is shown that $\textit{M}(\textit{m,$ n) ≥ $\textit{n}(lg(\textit{m}$ + 1))/2, which implies that Batcher's merging networks are optimal up to a factor of 2 + ε for almost all values of $\textit{m}$ and $\textit{n}.$ The limit $\textit{r}m$ = limn→∞ $\textit{M}(\textit{m,$ $n})/\textit{n}$ is determined to within 1. It is also proved that $\textit{M}(2,$ $\textit{n})$ = $[3\textit{n}/2].$
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1976-07-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 23
Issue Number 3
Page Count 6
Starting Page 566
Ending Page 571


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Source: ACM Digital Library