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
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