Combinatorics '90 :Recent Trends and Applications ( Volume 52 )

Publication subTitle :Recent Trends and Applications

Publication series :Volume 52

Author: Barlotti   A.;Bichara   A.;Ceccherini   P. V.  

Publisher: Elsevier Science‎

Publication year: 1992

E-ISBN: 9780080867922

P-ISBN(Paperback): 9780444894526

P-ISBN(Hardback):  9780444894526

Subject: O158 Discrete Mathematics

Language: ENG

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Description

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.

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 8

Foreword

pp.:  6 – 12

Contents

pp.:  8 – 6

Chapter 3. On structures T(t, q , r , n)

pp.:  36 – 48

Chapter 4. A tactical decomposition for incidence structures

pp.:  48 – 56

Chapter 5. Note on a characterization of Segre variety in PG(r, q )

pp.:  56 – 60

Chapter 6. A property of sharply 3-transitive finite permutation sets

pp.:  60 – 72

Chapter 7. Faithful orbits in symmetric designs

pp.:  72 – 80

Chapter 8. Minimal flagtransitive geometries

pp.:  80 – 82

Chapter 9. Some results on hyperarchimedean MV-algebras

pp.:  82 – 92

Chapter 10. Three combinatorial sequences derivable from the lattice path counting

pp.:  92 – 104

Chapter 11. Compound closed chains in circular planar nearrings

pp.:  104 – 118

Chapter 12. p-primitive semifield planes

pp.:  118 – 130

Chapter 13. The fractal-like Steiner triple system

pp.:  130 – 138

Chapter 14. Locally partial geometries with different types of residues

pp.:  138 – 150

Chapter 15. (0, n)-sets in a generalized quadrangle

pp.:  150 – 170

Chapter 16. Combinatorics and cryptography

pp.:  170 – 186

Chapter 17. Recent intrinsic characterizations of ovoids and elliptic quadrics in PG(3, K)

pp.:  186 – 202

Chapter 18. A natural association of PGL(V)-orbits in the Segre variety (P(V))m with flags and Young tableaux

pp.:  202 – 226

Chapter 19. Decomposing Steiner triple systems into four-line configurations

pp.:  226 – 238

Chapter 20. Non-symmetric configurations with deficiencies 1 and 2

pp.:  238 – 252

Chapter 21. Characterizing Linear spaces by blocking sets

pp.:  252 – 260

Chapter 22. Partial geometries of rank n

pp.:  260 – 270

Chapter 23. The minimal parabolic geometry of the Conway group Co1 is simply connected

pp.:  270 – 286

Chapter 24. Coset enumeration in groups and constructions of symmetric designs

pp.:  286 – 290

Chapter 25. On the ubiquity of Denniston-type translation ovals in generalized André planes

pp.:  290 – 308

Chapter 26. Translation planes and related combinatorial structures

pp.:  308 – 328

Chapter 27. Finite reflection groups and their corresponding structures

pp.:  328 – 348

Chapter 28. On nonisomorphic BIBD with identical parameters

pp.:  348 – 358

Chapter 29. Incidence loops and their geometry

pp.:  358 – 376

Chapter 30. Families of Menon difference sets

pp.:  376 – 392

Chapter 31. On the characterization problem for finite linear spaces

pp.:  392 – 402

Chapter 32. Linear spaces in which every line of maximal degree meets only few lines

pp.:  402 – 414

Chapter 33. Flag-transitive Buekenhout geometries

pp.:  414 – 460

Chapter 34. Collineations of the generalized quadrangles associated with q-clans

pp.:  460 – 474

Chapter 35. Projective embedding of fibered groups and the Suzuki groups

pp.:  474 – 482

Chapter 36. Codes, block designs, Frobenius groups and new-rings

pp.:  482 – 488

Chapter 37. The flag-transitive affine planes of order 27

pp.:  488 – 512

Chapter 38. Symmetric functions and bijective identities

pp.:  512 – 522

Chapter 39. On the existence of nearly Kirkman systems

pp.:  522 – 530

Chapter 40. Codes and semilinear spaces

pp.:  530 – 540

Chapter 41. Old and new results on spreads and ovoids of finite classical polar spaces

pp.:  540 – 556

Chapter 42. Large partial parallel classes in Steiner systems

pp.:  556 – 560

Chapter 43. Minimal line distinguishing colourings in graphs

pp.:  560 – 570

Chapter 44. Some results on –1 multiplier of difference lists

pp.:  570 – 578

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