Combinatorial Theory

2. Revised Auflage 1998
ISBN: 978-0-471-31518-6
Verlag: Wiley

Buch, Englisch, 464 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 741 g

Includes proof of van der Waerden's 1926 conjecture on permanents, Wilson's theorem on asymptotic existence, and other developments in combinatorics since 1967. Also covers coding theory and its important connection with designs, problems of enumeration, and partition. Presents fundamentals in addition to latest advances, with illustrative problems at the end of each chapter. Enlarged appendixes include a longer list of block designs.

Autoren/Hrsg.

Hall, Marshall

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Stochastik Elementare Stochastik

Inhaltsverzeichnis

Permutations and Combinations.

Inversion Formulae.

Generating Functions and Recursions.

Partitions.

Distinct Representatives.

Ramsey's Theorem.

Some Extremal Problems.

Convex Spaces and Linear Programming.

Graphical Methods, Debruijn Sequences.

Block Designs.

Difference Sets.

Finite Geometries.

Orthogonal Latin Squares.

Hadamard Matrices.

General Constructions of Block Designs.

Theorems on Completion and Embedding.

Coding Theory and Block Designs.

Appendices.

Bibliography.

Index.

Über Autor(innen)

Marshall Hall is the author of Combinatorial Theory, 2nd Edition, published by Wiley.