Recent developments in all aspects of combinatorial and incidence geometry are covered in this volume, including their links with the foundations of geometry, graph theory and algebraic structures, and the applications to coding theory and computer science.
Topics covered include Galois geometries, blocking sets, affine and projective planes, incidence structures and their automorphism groups. Matroids, graph theory and designs are also treated, along with weak algebraic structures such as near-rings, near-fields, quasi-groups, loops, hypergroups etc., and permutation sets and groups.
The vitality of combinatorics today lies in its important interactions with computer science. The problems which arise are of a varied nature and suitable techniques to deal with them have to be devised for each situation; one of the special features of combinatorics is the often sporadic nature of solutions, stemming from its links with number theory. The branches of combinatorics are many and various, and all of them are represented in the 56 papers in this volume.
Author(s): A. Barloti, M. Marchi and G. Tallini (Eds.)
Series: Annals of Discrete Mathematics 37
Publisher: North Holland
Year: 1988
Language: English
Pages: ii-xvi, 1-502
Content:
General Editor
Page ii
Edited by
Page iii
Copyright page
Page iv
Foreword
Page v
A. Barlotti, M. Marchi, G. Tallini
Opening Welcome
Page vii
Giuseppe Tallini
Participants
Pages xiii-xvi
Net of Rationality in a Minkowski Plane Original Research Article
Pages 1-6
Rafael Artzy
A New Class of Translation Planes Original Research Article
Pages 7-20
R.D. Baker, G.L. Ebert
Quasigroups and Groups Arising from Cubic Surfaces Original Research Article
Pages 21-30
Lucien Beneteau
Blocking Sets in the Large Mathieu Designs, I : the Case S(3, 6, 22) Original Research Article
Pages 31-42
Luigia Berardi
Blocking Sets in the Projective Plane of Order Four Original Research Article
Pages 43-50
Luigia Berardi, Franco Eugeni
Kalahari and the Sequence “Sloane No. 377” Original Research Article
Pages 51-58
Dieter Betten
Enciphered Geometry. Some Applications of Geometry To Cryptography Original Research Article
Pages 59-68
Albrecht Beutelspacher
On Finite Grassmann Spaces Original Research Article
Pages 69-73
Paola Biondi
The Regular Subgroups of the Sharply 3–Transitive Finite Permutation Groups () Original Research Article
Pages 75-86
Arrigo Bonisoli
Hyperovals in Desarguesian Planes of Even Order Original Research Article
Pages 87-94
William Cherowitzo
Circular Block Designs from Planar Near-Rings Original Research Article
Pages 95-105
James R. Clay
Extending the Concept of Decomposability for Triple Systems Original Research Article
Pages 107-116
C.J. Colbourn, E. Mendelsohn, A. Rosa
Translation Partial Geometries Original Research Article
Pages 117-135
F. De Clerck, H. Gevaert, J.A. Thas
On Admissible Sets with Two Intersection Numbers in A Projective Plane Original Research Article
Pages 137-146
Marialuisa J. de Resmini
Commutative Finite A-Hypergroups of Length Two Original Research Article
Pages 147-156
Mario De Salvo
On Sets of Fixed Parity in Steiner Systems Original Research Article
Pages 157-167
Franco Eugeni, Stefano Innamorati
Blocking Sets of Index Two Original Research Article
Pages 169-176
Franco Eugeni, Erika Mayer
A Short Proof that Ordered Linear Spaces are Locally Projective Original Research Article
Pages 177-179
Rolfdieter Frank
Midpoints and Midlines in a Finite Hyperbolic Plane Original Research Article
Pages 181-187
Cyril W.L. Garner
Hall-Ryser Type Theorems for Relative Difference Sets Original Research Article
Pages 189-193
Dina Ghinelli Smit
Coordinatization of Generalized Quadrangles Original Research Article
Pages 195-207
G. Hanssens, H. Van Maldeghem
Construction of Some Planar Translation Spaces Original Research Article
Pages 209-216
H. Lenz, Armin Herzer
Regular Sets in Geometries Original Research Article
Pages 217-223
J.D. Key
Group Preserving Extensions of Skew Parabola Planes Original Research Article
Pages 225-229
Norbert Knarr
Products of Involutions in Orthogonal Groups Original Research Article
Pages 231-247
Frieder Knüppel
Examples of Ovoidal Möbius Planes of Hering Class III Original Research Article
Pages 249-250
Hans-Joachim Kroll
A Construction of Pairs and Triples of k-Incomplete Orthogonal Arrays Original Research Article
Pages 251-255
C. Pellegrino, P. Lancellotti
Relative Infinity in Projective De Sitter Spacetime and Its Relation to Proper Time Original Research Article
Pages 257-264
J.A. Lester
Affine Hjelmslev Rings and Planes Original Research Article
Pages 265-275
J.W. (Michael) Lorimer
Irreducible Representations of Hecke Algebras of Rank 2 Geometries Original Research Article
Pages 277-279
Stefan Löwe
A Characterization of Pappian Affine Hjelmslev Planes Original Research Article
Pages 281-291
Helmut Mäurer, Wolfgang Nolte
Embedding Locally Projective Planar Spaces Into Projective Spaces Original Research Article
Pages 293-295
Klaus Metsch
On Topological Incidence Groupoids Original Research Article
Pages 297-300
Rita Meyer, Jürgen Misfeld, Elena Zizioli
Isomorphisms of Finite Hypergroupoids Original Research Article
Pages 301-310
Renato Migliorato
Seminversive Planes Original Research Article
Pages 311-313
Domenico Olanda
Geometric and Algebraic Methods in the Classification of Geometries Belonging to Lie Diagrams Original Research Article
Pages 315-355
Antonio Pasini
The Thas-Fisher Generalized Quadrangles Original Research Article
Pages 357-366
Stanley E. Payne
On Group Spaces Defined by Semidirect Products of Groups Original Research Article
Pages 367-374
J. Pfalzgraf
On Permutation Properties for Finitely Generated Semigroups Original Research Article
Pages 375-376
Giuseppe Pirillo
On k-Sets of Type (o,m,n) in Sr,q with Three Exterior Hyperplanes Original Research Article
Pages 377-383
Rita Procesi Ciampi, Rosaria Rota
An Algorithm for LS - Colourations Original Research Article
Pages 385-390
Luigia Puccio
A Blocking Set in PG(3,q), q ≥ 5 Original Research Article
Pages 391-394
Sandro Rajola
A Characterization of All Abelian Groups Whose Lattice of Precompact Group Topologies Represents A Projective Geometry Original Research Article
Pages 395-398
Dieter Remus
Groups of Homologies in 4-Dimensional Stable Planes Are Classical Original Research Article
Pages 399-403
Hans-Peter Seidel
Polynomial Species and Connections Among Bases of the Symmetric Polynomials Original Research Article
Pages 405-412
Domenico Senato, Antonietta M. Venezia
Set and Sequence Closure for Finite Permutation Groups Original Research Article
Pages 413-419
Johannes Siemons
P-Cyclic Hypergroups with Three Characteristic Elements Original Research Article
Pages 421-426
Thomas N. Vougiouklis, Stefanos H. Spartalis
Order and Uniform Structure in Projective Geometry Original Research Article
Pages 427-431
Horst Szambien
On Blocking Sets in Finite Projective and Affine Spaces Original Research Article
Pages 433-450
Giuseppe Tallini
Symmetric Designs without Ovals and Extremal Self-Dual Codes Original Research Article
Pages 451-457
Vladimir D. Tonchev
Groups in Hypergroups Original Research Article
Pages 459-467
Thomas Vougiouklis
The Perron-Frobenius Projection in the Theory of Graphs, Digraphs, Designs and Stochastic Processes Original Research Article
Pages 469-477
Karl Erich Wolff
On the Non-Existence of Certain Difference Sets Original Research Article
Pages 479-484
N. Zagaglia Salvi
On Complete 12-Arcs in Projective Planes of Order 12 Original Research Article
Pages 485-492
Corrado Zanella
Block Designs Admitting Flag Transitive Groups of Automorphisms Original Research Article
Pages 493-495
Paul-Hermann Zieschang
An Independence Theorem on the Conditions for Incidence Loops Original Research Article
Pages 497-502
Elena Zizioli
