Combinatorial Designs :A Tribute to Haim Hanani ( Volume 42 )

Publication subTitle :A Tribute to Haim Hanani

Publication series :Volume 42

Author: Hartman   A.  

Publisher: Elsevier Science‎

Publication year: 1989

E-ISBN: 9780080867823

P-ISBN(Paperback): 9780444881151

P-ISBN(Hardback):  9780444881151

Subject: O157.2 combination design

Language: ENG

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Description

Haim Hanani pioneered the techniques for constructing designs and the theory of pairwise balanced designs, leading directly to Wilson's Existence Theorem. He also led the way in the study of resolvable designs, covering and packing problems, latin squares, 3-designs and other combinatorial configurations.

The Hanani volume is a collection of research and survey papers at the forefront of research in combinatorial design theory, including Professor Hanani's own latest work on Balanced Incomplete Block Designs. Other areas covered include Steiner systems, finite geometries, quasigroups, and t-designs.

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 6

Contents

pp.:  6 – 10

Chapter 2. Minimally projectively embeddable Steiner systems

pp.:  30 – 38

Chapter 3. The spectra of a variety of quasigroups and related combinatorial designs

pp.:  38 – 60

Chapter 4. New cyclic (61, 244, 40, 10, 6) BIBDs (Note)

pp.:  60 – 64

Chapter 5. A unital in the Hughes plane of order nine (Note)

pp.:  64 – 66

Chapter 6. Percentages in pairwise balanced designs

pp.:  66 – 74

Chapter 7. On complete arcs in Steiner systems S(2, 3v) and S(2, 4v)

pp.:  74 – 84

Chapter 8. A survey of recent works with respect to a characterization of an (n, k, d; q)-code meeting the Griesmer bound using a min-hyper in a finite projective geometry

pp.:  84 – 98

Chapter 9. BIBD's with block-size seven

pp.:  98 – 106

Chapter 10. On Alspach's conjecture

pp.:  106 – 132

Chapter 11. Some self-blocking block designs

pp.:  132 – 146

Chapter 12. The Steiner systems S (2, 4, 25) with nontrivial automorphism group

pp.:  146 – 168

Chapter 13. Balanced tournament designs and related topics

pp.:  168 – 186

Chapter 14. Automorphisms of 2-(22, 8, 4) designs

pp.:  186 – 200

Chapter 15. Nesting of cycle systems of odd length

pp.:  200 – 214

Chapter 16. On the (15, 5, λ)-family of BIBDs

pp.:  214 – 226

Chapter 17. Finite bases for some PBD-closed sets

pp.:  226 – 246

Chapter 18. On the constructive enumeration of packings and coverings of index one

pp.:  246 – 264

Chapter 19. The existence of simple S3(3, 4, v)

pp.:  264 – 268

Chapter 20. On combinatorial designs with subdesigns

pp.:  268 – 290

Chapter 21. Cyclical Steiner Triple Systems orthogonal to their opposites

pp.:  290 – 294

Chapter 22. Symmetric quasigroups of odd order

pp.:  294 – 308

Chapter 23. Partitioning sets of quadruples into designs I

pp.:  308 – 316

Chapter 24. Infinite families of strictly cyclic Steiner quadruple systems

pp.:  316 – 326

Chapter 25. Minimal pairwise balanced designs

pp.:  326 – 332

Chapter 26. Combinatorial problems in repeated measurements designs

pp.:  332 – 354

Chapter 27. Locally trivial t-designs and t-designs without repeated blocks

pp.:  354 – 366

Chapter 28. A new family of BIBDs and non-embeddable (16, 24, 9, 6, 3)-designs

pp.:  366 – 376

Chapter 29. Modifications of the "central-method" to construct Steiner triple systems

pp.:  376 – 394

Author Index to Volume 77

pp.:  394 – 396

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