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Time-processor trade-offs for universal parallel computers

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Mathematical Foundations of Computer Science 1981 (MFCS 1981)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 118))

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Abstract

Various kinds of simulations among parallel computers are considered. We prove that it is not possible to simulate all parallel computers by one without an additional expense of time or of processors. Then we present a parallel computer which can simulate all parallel computers with n processors and which needs c·n2log(n) processors and extends the time only by a factor d·log log(n).

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References

  1. Z. Galil, W.J. Paul: A Theory of Complexity of Parallel Computation. To appear in STOC 81

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  2. W.J. Paul: Komplexitätstheorie. Teubner-Verlag, Stuttgart, 1978

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  3. A. Waksman: A Permutation Network. Journal of the ACM, 15(1) (1968), pp. 159–163

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Jozef Gruska Michal Chytil

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© 1981 Springer-Verlag Berlin Heidelberg

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Meyer auf der Heide, F. (1981). Time-processor trade-offs for universal parallel computers. In: Gruska, J., Chytil, M. (eds) Mathematical Foundations of Computer Science 1981. MFCS 1981. Lecture Notes in Computer Science, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10856-4_111

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  • DOI: https://doi.org/10.1007/3-540-10856-4_111

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10856-6

  • Online ISBN: 978-3-540-38769-5

  • eBook Packages: Springer Book Archive

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