書誌事項

Algebraic, extremal and metric combinatorics, 1986

edited by M.-M. Deza & P. Frankl, and I.G. Rosenberg

(London Mathematical Society lecture note series, 131)

Cambridge University Press, 1988

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注記

"This book contains the invited papers of the conference "Algebraic combinatorics and extremal problems" held at the Université de Montréal from July 28 to August 2, 1986."

内容説明・目次

内容説明

This book represents a comprehensive overview of the present state of progress in three related areas of combinatorics. It comprises selected papers from a conference held at the University of Montreal. Topics covered in the articles include association schemes, extremal problems, combinatorial geometrics and matroids, and designs. All the papers contain new results and many are extensive surveys of particular areas of research. Particularly valuable will be Ivanov's paper on recent Soviet research in these areas. Consequently this volume will be of great attraction to all researchers in combinatorics and to research students requiring a rapid introduction to some of the open problems in the subject.

目次

  • Introduction
  • List of talks
  • Participants
  • 1. Some recent combinatorial applications of Borsuk-type theorems N. Alon
  • 2. On extremal finite sets in the sphere and other metric spaces E. Bannai
  • 3. Metric and geometric properties of sets of permutations P. J. Cameron
  • 4. Infinite geometric groups and sets P. J. Cameron, M-M. Deza and N. M. Singh
  • 5. Intersection and containment problems without size restrictions P. Frankl
  • 6. Distance-transitive graphs of valency k,8 < k < 13 A. A. Ivanov and A. V. Ivanov
  • 7. Latin square determinants K. W. Johnson
  • 8. A computer search for a projective plane of order 10 C. W. H. Lam, L. H. Thiel and S. Swiercz
  • 9. Matroids, algebraic and non algebraic B. Lindstrom
  • 10. Algebraic properties of a general convolution I. G. Rosenberg
  • 11. Quasi groups, assocation schemes, and Laplace operators on almost periodic functions J. D. H. Smith
  • 12. Geometric methods in group theory S. D. Smith
  • Problem section.

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