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.
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Permutations and Combinations
Generating Functions and Recursions
Some Extremal Problems
Convex Spaces and Linear Programming
Orthogonal Latin Squares
General Constructions of Block Designs
Theorems on Completion and Embedding
Coding Theory and Block Designs
Graphical Methods DeBruijn Sequences
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