Skip to main content
SpringerLink
Log in

Mathematics of Ramsey Theory

  • Book
  • © 1990

Overview

Editors:
  1. Jaroslav Nešetřil

    1. Department of Applied Mathematics, Charles University, Praha 1, Czechoslovakia

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Vojtěch Rödl

    1. Department of Mathematics and Computer Science, Emory University, Atlanta, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Algorithms and Combinatorics (AC, volume 5)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (18 chapters)

  1. Front Matter

    Pages I-XIV
    Download chapter PDF

  2. Introduction Ramsey Theory Old and New

    1. Introduction Ramsey Theory Old and New

      • Jaroslav Nešetřil, Vojtěch Rödl
      Pages 1-9

  3. Classics

    1. Front Matter

      Pages 11-11
      Download chapter PDF

    2. Problems and Results on Graphs and Hypergraphs: Similarities and Differences

      • Paul Erdös
      Pages 12-28

    3. Note on Canonical Partitions

      • Richard Rado
      Pages 29-32

  5. Structural Theory

    1. Front Matter

      Pages 97-97
      Download chapter PDF

    2. Partite Construction and Ramsey Space Systems

      • Jaroslav Nešetřil, Vojtěch Rödl
      Pages 98-112

    3. Graham-Rothschild Parameter Sets

      • Hans J. Prömel, Bernd Voigt
      Pages 113-149

    4. Shelah’s Proof of the Hales-Jewett Theorem

      • Alon Nilli
      Pages 150-151

  6. Noncombinatorial Methods

    1. Front Matter

      Pages 153-153
      Download chapter PDF

    2. Partitioning Topological Spaces

      • William Weiss
      Pages 154-171

    3. Topological Ramsey Theory

      • Timothy J. Carlson, Stephen G. Simpson
      Pages 172-183

    4. Ergodic Theory and Configurations in Sets of Positive Density

      • Hillel Fürstenberg, Yitzchak Katznelson, Benjamin Weiss
      Pages 184-198

  7. Variations and Applications

    1. Front Matter

      Pages 199-199
      Download chapter PDF

    2. Topics in Euclidean Ramsey Theory

      • Ronald L. Graham
      Pages 200-213
Back to top

Keywords

About this book

One of the important areas of contemporary combinatorics is Ramsey theory. Ramsey theory is basically the study of structure preserved under partitions. The general philosophy is reflected by its interdisciplinary character. The ideas of Ramsey theory are shared by logicians, set theorists and combinatorists, and have been successfully applied in other branches of mathematics. The whole subject is quickly developing and has some new and unexpected applications in areas as remote as functional analysis and theoretical computer science. This book is a homogeneous collection of research and survey articles by leading specialists. It surveys recent activity in this diverse subject and brings the reader up to the boundary of present knowledge. It covers virtually all main approaches to the subject and suggests various problems for individual research.

Editors and Affiliations

  • Department of Applied Mathematics, Charles University, Praha 1, Czechoslovakia

    Jaroslav Nešetřil

  • Department of Mathematics and Computer Science, Emory University, Atlanta, USA

    Vojtěch Rödl

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation