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Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics Book

Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics
Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics, Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theo, Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics has a rating of 4 stars
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Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics, Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theo, Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics
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  • Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics
  • Written by author Bila Bollobas
  • Published by Cambridge University Press, July 1986
  • Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theo
  • Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theo
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Frontispiece; Preface;

1. Notation;
2. Representing sets;
3. Sperner systems;
4. The Littlewood - Offord problem;
5. Shadows;
6. Random sets;
7. Intersecting hypergraphs;
8. The Turán problem;
9. Saturated hypergraphs;
10. Well-separated systems;
11. Helly families;
12. Hypergraphs with a given number of disjoint edges;
13. Intersecting families;
14. Factorizing complete hypergraphs;
15. Weakly saturated hypergraphs;
16. Isoperimetric problems;
17. The trace of a set system;
18. Partitioning sets of vectors;
19. The four functions theorem;
20. Infinite ramsey theory; References; Index.


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Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics, Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theo, Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics

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Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics, Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theo, Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics

Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics

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Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics, Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theo, Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics

Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics

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