Combinatorics ’90Recent Trends and Applications, Proceedings of the Conference on Corn binatorics, Gaeta

A. Barlotti, A. Bichara, P.V. Ceccherini and G. Tallini (Eds.)978-0-444-89452-6

This volume forms a valuable source of information on recent developments in research in combinatorics, with special regard to the geometric point of view. Topics covered include: finite geometries (arcs, caps, special varieties in a Galois space; generalized quadrangles; Benz planes; foundation of geometry), partial geometries, Buekenhout geometries, transitive permutation sets, flat-transitive geometries, design theory, finite groups, near-rings and semifields, MV-algebras, coding theory, cryptography and graph theory in its geometric and design aspects.

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Table of contents :
Content:
Advisory Editors
Page ii

Edited by
Page iii

Copyright page
Page iv

Foreword
Page v
Adriano Barlotti, Pier Vittorio Ceccherini, Alessandro Bichara, Giuseppe Talliini

Irregular assignments and vertex-distinguishing edge-colorings of graphs Original Research Article
Pages 1-9
M. Aigner, E. Triesch, Z. Tuza

Construction of non-isomorphic regular tournaments Original Research Article
Pages 11-23
A. Astié-Vidal, V. Dugat, Z. Tuza

On Structures T(t, q, r, n) Original Research Article
Pages 25-36
Walter Benz

A Tactical Decomposition for Incidence Structures Original Research Article
Pages 37-43
Diter Betten, Mathlas Braun

Note on a Characterization of Segre Variety in PG(r, q) Original Research Article
Pages 45-47
Alessandro Bichara, Stefano Innamorati

A property of sharply 3–transitive finite permutation sets Original Research Article
Pages 49-60
A. Bonisoli, G. Korchmáros

Faithful orbits in symmetric designs Original Research Article
Pages 61-68
Andrew Bowler

Minimal Flagtransitive Geometries
Pages 69-70
Francis Buekenhout

Some Results on Hyperarchimedean MV-Algebras Original Research Article
Pages 71-79
V. Cavaccini, A. Lettieri

Three Combinatorial Sequences Derivable from the Lattice Path Counting Original Research Article
Pages 81-92
Wenchang Chu

Compound Closed Chains in Circular Planar Nearrings Original Research Article
Pages 93-106
James R. Clay

p-primitive semifield planes Original Research Article
Pages 107-117
M. Cordero

The Fractal-like Steiner Triple System Original Research Article
Pages 119-126
Marialuisa J. de Resmini

Locally partial geometries with different types of residues Original Research Article
Pages 127-138
A. Del Fra, D. Ghinelli, A. Pasini

(0,n)-Sets in a generalized quadrangle Original Research Article
Pages 139-157
A. Del Fra, D. Ghinelli, S.E. Payne

Combinatorics and Cryptography Original Research Article
Pages 159-174
Franco Eugeni

Recent intrinsic characterizations of ovoids and elliptic quadrics in PG(3,K) Original Research Article
Pages 175-190
Giorgio Faina

A Natural Association of PGL(V)-Orbits in the Segre Variety (P(V)m with Flags and Young Tableaux Original Research Article
Pages 191-214
Federico Gaeta

Decomposing Steiner Triple Systems Into Four-Line Configurations Original Research Article
Pages 215-226
T.S. Griggs, M.J. de Resmini, A. Rosa

Non-symmetric configurations with deficiencies 1 and 2 Original Research Article
Pages 227-239
H. Gropp

Characterizing Linear Spaces by Blocking Sets Original Research Article
Pages 241-248
Erika Hahn

Partial Geometries of Rank n Original Research Article
Pages 249-258
Daniel R. Hughes

The minimal parabolic geometry of the Conway group Co1 is simply connected Original Research Article
Pages 259-273
A.A. Ivanov

Coset Enumeration in Groups and Constructions of Symmetric Designs Original Research Article
Pages 275-277
Zvonimir Janko

On the Ubiquity of Denniston-Type Translation Ovals in Generalized André Planes Original Research Article
Pages 279-296
V. Jha, N.L. Johnson

Translation Planes and Related Combinatorial Structures Original Research Article
Pages 297-315
Norman L. Johnson

Finite Reflection Groups and their Corresponding Structures Original Research Article
Pages 317-336
Helmut Karzel

On Nonisomorphic BIBD with Identical Parameters Original Research Article
Pages 337-346
Wen-Fong Ke

Incidence loops and their geometry Original Research Article
Pages 347-364
Mario Marchi

Families of Menon Difference Sets Original Research Article
Pages 365-380
D.B. Meisner

On the characterization problem for finite linear spaces Original Research Article
Pages 381-390
N. Melone

Linear spaces in which every line of maximal degree meets only few lines Original Research Article
Pages 391-402
Klaus Metsch

Flag-Transitive Buekenhout Geometries Original Research Article
Pages 403-447
Antonio Pasini, Satoshi Yoshiara

Collineations of the generalized quadrangles associated with q-clans Original Research Article
Pages 449-461
S.E. Payne

Projective embedding of fibered groups and the Suzuki groups Original Research Article
Pages 463-469
S. Pianta

Codes, block designs, Frobenius groups, and near-rings Original Research Article
Pages 471-476
G.F. Pilz

The flag-transitive affine planes of order 27 Original Research Article
Pages 477-500
Alan R. Prince

Symmetric Functions and Bijective Identities Original Research Article
Pages 501-509
Domenico Senato, Antonietta Venezia

On the Existence of Nearly Kirkman Systems Original Research Article
Pages 511-518
Hao Shen

Codes and semilinear spaces Original Research Article
Pages 519-528
J. Simonis

Old and new results on spreads and ovoids of finite classical polar spaces Original Research Article
Pages 529-544
J.A. Thas

Large partial parallel classes in Steiner systems Original Research Article
Pages 545-548
Zs. Tuza

Minimal Line Distinguishing Colourings in Graphs Original Research Article
Pages 549-558
B.J. Wilson

Some Results on −1 Multiplier of Difference Lists Original Research Article
Pages 559-566
Qing Xiang