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Higher Combinatorics

Proceedings of the NATO Advanced Study Institute held in Berlin (West Germany), September 1–10, 1976

  • Martin Aigner

Part of the NATO Advanced Study Institutes Series book series (ASIC, volume 31)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Counting Theory

    1. Front Matter
      Pages 1-1
    2. Richard P. Stanley
      Pages 51-62
  3. Combinatorial Set Theory and Order Theory

    1. Front Matter
      Pages 63-63
    2. Martin Aigner
      Pages 65-68
    3. Richard Rado
      Pages 69-78
    4. R. Wille
      Pages 79-100
  4. Matroids

    1. Front Matter
      Pages 101-101
    2. T. A. Dowling, W. A. Denig
      Pages 103-116
    3. A. W. Ingleton
      Pages 117-131
  5. Designs

    1. Front Matter
      Pages 177-177
    2. Martin Aigner
      Pages 179-181
    3. Martin Aigner
      Pages 201-202
  6. Group and Coding Theory

    1. Front Matter
      Pages 203-203
    2. E. F. Assmus Jr., Joseph A. Mezzaroba, Chester J. Salwach
      Pages 205-212
    3. E. F. Assmus Jr., Howard E. Sachar
      Pages 213-216
    4. Peter J. Cameron
      Pages 217-239
    5. J. H. van Lint
      Pages 241-256

About these proceedings

Introduction

It is general consensus that Combinatorics has developed into a full-fledged mathematical discipline whose beginnings as a charming pastime have long since been left behind and whose great signifi­ cance for other branches of both pure and applied mathematics is only beginning to be realized. The last ten years have witnessed a tremendous outburst of activity both in relatively new fields such as Coding Theory and the Theory of Matroids as well as in' more time honored endeavors such as Generating Functions and the Inver­ sion Calculus. Although the number of text books on these subjects is slowly increasing, there is also a great need for up-to-date surveys of the main lines of research designed to aid the beginner and serve as a reference for the expert. It was the aim of the Advanced Study Institute "Higher Combinatorics" in Berlin, 1976, to help fulfill this need. There were five sections: I. Counting Theory, II. Combinatorial Set Theory and Order Theory, III. Matroids, IV. Designs and V. Groups and Coding Theory, with three principal lecturers in each section. Expanded versions of most lectures form the contents of this book. The Institute was designed to offer, especially to young researchers, a comprehen­ sive picture of the most interesting developments currently under way. It is hoped that these proceedings will serve the same purpose for a wider audience.

Keywords

Combinatorics Lattice Partition Permutation graphs

Editors and affiliations

  • Martin Aigner
    • 1
  1. 1.Fachbereich MathematikFreie Universität BerlinBerlin 33Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-1220-1
  • Copyright Information Springer Science+Business Media B.V. 1977
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-1222-5
  • Online ISBN 978-94-010-1220-1
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site