Skip to main content

Partition Sorts for VLSI

  • Chapter
GI - 13. Jahrestagung

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 73))

Abstract

A new class of sorting algorithms called partition sorts is presented. Partition sorts can be viewed as periodic 2d-primitive sorting networks. Periodic says that they are concatenations of identical comparator networks. 2d-primitive says that there is a planar layout for these algorithms such that communication is exclusively local. This makes its members specially suitable for an implementation by means of VLSI-technology.

It is shown that partition sorts sort in less than n steps. Simulation results for a special partition sort algorithm indicate that its worst case behaviour is Ω (n) but a significant factor faster than odd-even transposition sort. In the average it seems to run in \( {\text{O(}}\sqrt {\text{n}} {\text{)}}\) . The regular and modular layout for a systolic implementation of this partition sort algorithm is presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature

  1. Bilardi, G., Pracchi, M., Preparata, F.P.: A Critique and an Appraisal of VLSI Models of Computation. In: Kung, H.T., Sproull, B., Steele, G. (eds.): VLSI Systems and Computations, Springer Verlag, 81–88 (1981)

    Google Scholar 

  2. Chazelle, B.M., Monier, L.M.: A Model of Computation for VLSI with Related Complexity Results. Proc. 13th Symp. Theory of Computing, 318–325 (1981)

    Google Scholar 

  3. Chazelle, B.M., Monier, L.M.: Optimality in VLSI. In: Gray, J.P. (ed.): VLSI 81, Academic Press, London, 269–278 (1981)

    Google Scholar 

  4. Knuth, D.E.: The Art of Computer Programming. Vol 3/ Sorting and Searching. Addison-Wesley, Reading, MA 1973

    Google Scholar 

  5. Kung, H.T., Leiserson, C.E.: Algorithms for VLSI processor arrays. In chapter 8 of [MC]

    Google Scholar 

  6. Kung, H.T., Thompson, C.D.: Sorting on a Mesh-Connected Parallel Computer. CACM, Vol. 20, 263–271 (1977)

    MathSciNet  MATH  Google Scholar 

  7. LSSS]Lang, H.W., Schimmler, M., Schmeck, H., Schröder, H.: A Fast Sorting Algorithm for VLSI. Proc. 10th ICALP, 1983.

    Google Scholar 

  8. Mead, C., Conway, L.: Introduction to VLSI Systems. Addison-Wesley, Reading, MA 1980

    Google Scholar 

  9. Schmeck, H., Schröder, H.: VLSI-gerechte Lexikon-Rechner. Tech. Report 8204, Inst. für Informatik, Universität Kiel, Kiel, 1982

    Google Scholar 

  10. Thompson, C.D.: Area-Time Complexity for VLSI. Proc. 11th Symp. Theory of Computing 81–88 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Schröder, H. (1983). Partition Sorts for VLSI. In: Kupka, I. (eds) GI - 13. Jahrestagung. Informatik-Fachberichte, vol 73. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69298-7_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-69298-7_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12734-5

  • Online ISBN: 978-3-642-69298-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics