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Combinatorial Theory Marshall Hall

Combinatorial Theory By Marshall Hall

Combinatorial Theory by Marshall Hall


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Summary

This introductory textbook examines the theory of combinatorics. It includes proof of Van der Waerden's 1926 conjecture on permanents, Wilson's theorem on asymptotic existence, and covers coding theory and its important connection with designs, problems of enumeration, and partition.

Combinatorial Theory Summary

Combinatorial Theory by Marshall Hall

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.

About Marshall Hall

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

Table of Contents

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.

Additional information

NLS9780471315186
9780471315186
0471315184
Combinatorial Theory by Marshall Hall
New
Paperback
John Wiley & Sons Inc
1998-08-11
464
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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