Combinatorics -

Combinatorics

Set Systems, Hypergraphs, Families of Vectors, and Combinatorial Probability

Béla Bollobás (Herausgeber)

Buch | Softcover
192 Seiten
1986
Cambridge University Press (Verlag)
978-0-521-33703-8 (ISBN)
56,10 inkl. MwSt
Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets.
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 theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.

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.

Erscheint lt. Verlag 31.7.1986
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 158 x 231 mm
Gewicht 290 g
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 0-521-33703-8 / 0521337038
ISBN-13 978-0-521-33703-8 / 9780521337038
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Numbers and Counting, Groups, Graphs, Orders and Lattices

von Volker Diekert; Manfred Kufleitner; Gerhard Rosenberger …

Buch | Softcover (2023)
De Gruyter (Verlag)
64,95