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  • © 2011

Designing Sorting Networks

A New Paradigm

  • Illustrates recent proofs of Bitonic and Odd-Even merge sorting algorithms, presented directly by the original developer of these parallel sorting algorithms
  • Provides an in-depth analysis of the use of 0/1 cases, partial order sets and Haase diagrams in designing and analyzing sorting networks
  • Outlines new ideas and techniques for designing faster sorting networks using Sortnet, and highlights how these techniques helped design faster 12-key and 18-key sorting networks
  • Includes supplementary material: sn.pub/extras

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xii
  2. Early History

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 1-7
  3. Software Implementations

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 9-12
  4. Posets

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 13-17
  5. The 0/1-Principle

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 19-25
  6. A 16-Key Sorting Network

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 27-33
  7. The Sortnet Program

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 35-42
  8. Divide and Conquer

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 43-47
  9. Counting Strangers

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 49-55
  10. Finding Better Networks

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 57-59
  11. Lattice Theory

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 61-71
  12. The AKS Sorting Network

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 73-80
  13. Ideas for Faster Networks

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 81-85
  14. BOOL(N)

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 87-94
  15. Sorting Networks For Large N

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 95-101
  16. Another Way of Handling Strangers

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 103-107
  17. Thoughts on Minimizing Strangers

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 109-113
  18. Case Studies

    • Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher
    Pages 115-124
  19. Back Matter

    Pages 125-134

About this book

Designing Sorting Networks: A New Paradigm provides an in-depth guide to maximizing the efficiency of sorting networks, and uses 0/1 cases, partially ordered sets and Haase diagrams to closely analyze their behavior in an easy, intuitive manner.

This book also outlines new ideas and techniques for designing faster sorting networks using Sortnet, and illustrates how these techniques were used to design faster 12-key and 18-key sorting networks through a series of case studies.

Finally, it examines and explains the mysterious behavior exhibited by the fastest-known 9-step 16-key network. Designing Sorting Networks: A New Paradigm is intended for advanced-level students, researchers and practitioners as a reference book. Academics in the fields of computer science, engineering and mathematics will also find this book invaluable.

Authors and Affiliations

  • , Computer Science, University of Jordan, Amman, Jordan

    Sherenaz W. Al-Haj Baddar

  • , Emeritus Professor of, Kent State University, Kent, USA

    Kenneth E. Batcher

Bibliographic Information

  • Book Title: Designing Sorting Networks

  • Book Subtitle: A New Paradigm

  • Authors: Sherenaz W. Al-Haj Baddar, Kenneth E. Batcher

  • DOI: https://doi.org/10.1007/978-1-4614-1851-1

  • Publisher: Springer New York, NY

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2011

  • Hardcover ISBN: 978-1-4614-1850-4

  • Softcover ISBN: 978-1-4899-8990-1

  • eBook ISBN: 978-1-4614-1851-1

  • Edition Number: 1

  • Number of Pages: XII, 136

  • Topics: Data Structures, Arithmetic and Logic Structures, Models and Principles

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access