Combinatorial Designs—A Tribute to Haim Hanani

A. Hartman (Eds.)978-0-444-88115-1

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.

---

Table of contents :
Content:
Advisory Editors
Page ii

Edited by
Page iii

Copyright page
Page iv

Combinatorial Designs–a Tribute to Haim Hanani: Preface
Pages 1-2
Alan Hartman

List of Publications
Pages 3-4
Haim Hanani

Resolvable Group Divisible Designs with Block Size 3 Original Research Article
Pages 5-20
Ahmed M. Assaf, Alan Hartman

Minimally Projectively Embeddable Steiner Systems Original Research Article
Pages 21-27
Lynn Margaret Batten

The Spectra of a Variety of Quasigroups and Related Combinatorial Designs Original Research Article
Pages 29-50
F.E. Bennett

Note New Cyclic (61,244,40,10,6) BIBDs Original Research Article
Pages 51-53
Elizabeth J. Billington

Note A Unital in the Hughes Plane of Order Nine Original Research Article
Pages 55-56
A.E. Brouwer

Percentages in Pairwise Balanced Designs Original Research Article
Pages 57-63
Charles J. Colbourn, Vojtech Rötdl

On Complete Arcs in Steiner Systems S(2,3, v) and S(2,4, v) Original Research Article
Pages 65-73
Marialuisa J. de Resmini

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 Original Research Article
Pages 75-87
Noboru Hamada, Michel Deza

BIBD’s with Block-Size Seven Original Research Article
Pages 89-96
H. Hanani

On Alspach’s Conjecture Original Research Article
Pages 97-121
Katherine Heinrich, Peter horák, Alexander Rosa

Some Sfxf-Blocking Block Designs Original Research Article
Pages 123-135
Dieter Jungnickel

The Steiner Systems S(2,4,25) with Nontrivial Automorphism Group Original Research Article
Pages 137-157
Earl S. Kramer, Spyros S. Magliveras, Rudolf Mathon

Balanced Tournament Designs and Related Topics Original Research Article
Pages 159-176
E.R. Lamken, S.A. Vanstone

Automorphisms of 2-(22,8,4) Designs Original Research Article
Pages 177-189
I. Landgev, V.D. Tonchev

Nesting of Cycle Systems of ODD Length Original Research Article
Pages 191-203
C.C. Lindner, C.A. Rodger, D.R. Stinson

On the (15,5, λ)-Family of BIBDs Original Research Article
Pages 205-216
R. Mathon, A. Rosa

Finite Bases for Some PBD-Closed Sets Original Research Article
Pages 217-236
R.C. Mullin

On the Constructive Enumeration of Packings and Coverings of Index One Original Research Article
Pages 237-254
A.J. Petrenjuk

The Existence of Simple S3(3,4,ν) Original Research Article
Pages 255-258
K. Phelps, D.R. Stinson, S.A. Vanstone

On Combinatorial Designs with Subdesigns Original Research Article
Pages 259-279
Rolf Rees, D.R. Stinson

Cyclical Steiner Triple Systems Orthogonal to their Opposites Original Research Article
Pages 281-284
Shmuel Schreiber

Symmetric Quasigroups of ODD Order Original Research Article
Pages 285-297
Shmuel Schreiber

Partitioning Sets of Quadruples into Designs I Original Research Article
Pages 299-305
Martin J. Sharry, Anne Penfold Street

Infinite Families of Strictly Cyclic Steiner Quadruple Systems Original Research Article
Pages 307-316
Helmut Siemon

Minimal Pairwise Balanced Designs Original Research Article
Pages 317-321
R.G. Stanton

Combinatorial Problems in Repeated Measurements Designs Original Research Article
Pages 323-343
Deborah J. Street

Locally Trivial t-Designs t-Designs without Repeated Blocks Original Research Article
Pages 345-356
Luc Teirlinck

A New Family of BIBDs and Non-Embeddable (16, 24, 9, 6, 3)-Designs Original Research Article
Pages 357-365
G.H.J. van Rees

Modifications of the “Central-Method” to Construct Steiner Triple Systems Original Research Article
Pages 367-384
H. Zeitler

Author Index
Pages 385-386