Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Ramsey theory for discrete structures / Hans Jurgen Promel.

By: Material type: TextTextPublication details: Switzerland : Springer, 2013.Description: xvi, 232 pISBN:
  • 9783319013145 (hard cover : alk. paper)
Subject(s): DDC classification:
  • 23 P965 511.6
Contents:
Part I. Roots of Ramsey Theory -- 1. Ramsey's Theorem -- 2. From Hilbert's Cube Lemma to Rado's Thesis -- Part II. A Starting Point of Ramsey Theory: Parameter Sets -- 3. Definitions and Basic Examples -- 4. Hales-Jewett's Theorem -- 5. Graham-Rothschild's Theorem -- 6. Canonical Partitions -- Part III. Back to the Roots: Sets -- 7. Ramsey Numbers -- 8. Rapidly Growing Ramsey Functions -- 9. Product Theorems -- 10. A Quasi Ramsey Theorem -- 11. Partition Relations for Cardinal Numbers -- Part IV. Graphs and Hypergraphs -- 12. Finite Graphs -- 13. Infinite Graphs -- 14. Hypergraphs on Parameter Sets -- 15. Ramsey Statements for Random Graphs -- 16. Sparse Ramsey Theorems -- Part V. Density Ramsey Theorems -- 17. Szemeredi's Theorem -- 18. Density Hales-Jewett Theorem-- References-- Index.
Summary: This monograph covers some of the most important developments in Ramsey theory from its beginnings in the early 20th century via its many breakthroughs to recent important developments in the early 21st century.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 511.6 P965 (Browse shelf(Opens below)) Available 135531
Total holds: 0

Includes bibliographical references and index.

Part I. Roots of Ramsey Theory --
1. Ramsey's Theorem --
2. From Hilbert's Cube Lemma to Rado's Thesis --

Part II. A Starting Point of Ramsey Theory: Parameter Sets --
3. Definitions and Basic Examples --
4. Hales-Jewett's Theorem --
5. Graham-Rothschild's Theorem --
6. Canonical Partitions --

Part III. Back to the Roots: Sets --
7. Ramsey Numbers --
8. Rapidly Growing Ramsey Functions --
9. Product Theorems --
10. A Quasi Ramsey Theorem --
11. Partition Relations for Cardinal Numbers --

Part IV. Graphs and Hypergraphs --
12. Finite Graphs --
13. Infinite Graphs --
14. Hypergraphs on Parameter Sets --
15. Ramsey Statements for Random Graphs --
16. Sparse Ramsey Theorems --

Part V. Density Ramsey Theorems --
17. Szemeredi's Theorem --
18. Density Hales-Jewett Theorem--

References--
Index.

This monograph covers some of the most important developments in Ramsey theory from its beginnings in the early 20th century via its many breakthroughs to recent important developments in the early 21st century.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in