Combinatorial Designs: A Tribute to Haim Hanani (Google eBook)

Front Cover
A. Hartman
Elsevier, Oct 11, 1989 - Mathematics - 385 pages
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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.

  

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Contents

Combinatorial designs A tribute to Haim Hanani
1
Chapter 1 Resolvable group divisible designs with block size 3
5
Chapter 2 Minimally projectively embeddable Steiner systems
21
Chapter 3 The spectra of a variety of quasigroups and related combinatorial designs
29
Chapter 4 New cyclic 61 244 40 10 6 BIBDs Note
51
Chapter 5 A unital in the Hughes plane of order nine Note
55
Chapter 6 Percentages in pairwise balanced designs
57
Chapter 7 On complete arcs in Steiner systems S2 3v and S2 4v
65
Chapter 16 On the 15 5 λfamily of BIBDs
205
Chapter 17 Finite bases for some PBDclosed sets
217
Chapter 18 On the constructive enumeration of packings and coverings of index one
237
Chapter 19 The existence of simple S33 4 v
255
Chapter 20 On combinatorial designs with subdesigns
259
Chapter 21 Cyclical Steiner Triple Systems orthogonal to their opposites
281
Chapter 22 Symmetric quasigroups of odd order
285
Chapter 23 Partitioning sets of quadruples into designs I
299

Chapter 8 A survey of recent works with respect to a characterization of an n k d qcode meeting the Griesmer bound using a minhyper in a finite pro...
75
Chapter 9 BIBDs with blocksize seven
89
Chapter 10 On Alspachs conjecture
97
Chapter 11 Some selfblocking block designs
123
Chapter 12 The Steiner systems S 2 4 25 with nontrivial automorphism group
137
Chapter 13 Balanced tournament designs and related topics
159
Chapter 14 Automorphisms of 222 8 4 designs
177
Chapter 15 Nesting of cycle systems of odd length
191
Chapter 24 Infinite families of strictly cyclic Steiner quadruple systems
307
Chapter 25 Minimal pairwise balanced designs
317
Chapter 26 Combinatorial problems in repeated measurements designs
323
Chapter 27 Locally trivial tdesigns and tdesigns without repeated blocks
345
Chapter 28 A new family of BIBDs and nonembeddable 16 24 9 6 3designs
357
Chapter 29 Modifications of the centralmethod to construct Steiner triple systems
367
Author Index to Volume 77
385
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