Ramsey theory for discrete structures
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. The book first presents a detailed discussion of the roots of Ramsey theory before off...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Cham :
Springer International Publishing : Imprint: Springer
[20..].
Cham : Springer Nature |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ramsey theory for discrete structures, Hans Jürgen Prömel, Cham, Springer, 2013, 1 vol. (XVI-232 p.), 3-319-01314-9 |
جدول المحتويات:
- Foreword by Angelika Steger Preface Conventions Part I Roots of Ramsey Theory: 1.1 Ramsey s theorem 1.2 From Hilbert s cube lemma to Rado s thesis Part II A Starting Point of Ramsey Theory: Parameter Sets: 2.1 Definitions and basic examples 2.2 Hales-Jewett s theorem 2.3 Graham-Rothschild s theorem 2.4 Canonical partitions Part III Back to the Roots: Sets: 3.1 Ramsey numbers 3.2 Rapidly growing Ramsey functions 3.3 Product theorems 3.4 A quasi Ramsey theorem 3.5 Partition relations for cardinal numbers Part IV Graphs and Hypergraphs: 4.1 Finite graphs 4.2 Infinite graphs 4.3 Hypergraphs on parameter sets 4.4. Ramsey statements for random graphs 4.5 Sparse Ramsey Theorems.- Part V Density Ramsey Theorems: 5.1 Szemerédi s Theorem 5.2 Density Hales-Jewett Theorem 5.3 Proof of the density Hales-Jewett theorem References Index