UID:
almahu_9947367830702882
Format:
1 online resource (395 p.)
ISBN:
1-281-98500-7
,
9786611985004
,
0-08-086782-0
Series Statement:
Annals of discrete mathematics ; v. 42
Content:
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, a
Note:
Description based upon print version of record.
,
Front Cover; Combinatorial Designs-A Tribute To Haim Hanani; Copyright Page; Contents; Combinatorial designs - A tribute to Haim Hanani; Chapter 1. Resolvable group divisible designs with block size 3; Chapter 2. Minimally projectively embeddable Steiner systems; Chapter 3. The spectra of a variety of quasigroups and related combinatorial designs; Chapter 4. New cyclic (61, 244, 40, 10, 6) BIBDs (Note); Chapter 5. A unital in the Hughes plane of order nine (Note); Chapter 6. Percentages in pairwise balanced designs; Chapter 7. On complete arcs in Steiner systems S(2, 3v) and S(2, 4v)
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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; Chapter 9. BIBD's with block-size seven; Chapter 10. On Alspach's conjecture; Chapter 11. Some self-blocking block designs; Chapter 12. The Steiner systems S (2, 4, 25) with nontrivial automorphism group; Chapter 13. Balanced tournament designs and related topics; Chapter 14. Automorphisms of 2-(22, 8, 4) designs; Chapter 15. Nesting of cycle systems of odd length; Chapter 16. On the (15, 5, ?)-family of BIBDs
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Chapter 17. Finite bases for some PBD-closed setsChapter 18. On the constructive enumeration of packings and coverings of index one; Chapter 19. The existence of simple S3(3, 4, v); Chapter 20. On combinatorial designs with subdesigns; Chapter 21. Cyclical Steiner Triple Systems orthogonal to their opposites; Chapter 22. Symmetric quasigroups of odd order; Chapter 23. Partitioning sets of quadruples into designs I; Chapter 24. Infinite families of strictly cyclic Steiner quadruple systems; Chapter 25. Minimal pairwise balanced designs
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Chapter 26. Combinatorial problems in repeated measurements designsChapter 27. Locally trivial t-designs and t-designs without repeated blocks; Chapter 28. A new family of BIBDs and non-embeddable (16, 24, 9, 6, 3)-designs; Chapter 29. Modifications of the ""central-method"" to construct Steiner triple systems; Author Index to Volume 77
,
English
Additional Edition:
ISBN 0-444-88115-8
Language:
English
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