Synopses & Reviews
Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics.
This edition now offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure mathematical ideas, including connections between universal algebra and graph designs.
The authors focus on several basic designs, including Steiner triple systems, Latin squares, and finite projective and affine planes. They produce these designs using flexible constructions and then add interesting properties that may be required, such as resolvability, embeddings, and orthogonality. The authors also construct more complicated structures, such as Steiner quadruple systems.
By providing both classical and state-of-the-art construction techniques, this book enables students to produce many other types of designs.
Synopsis
Important and Exciting Construction Design Techniques
The second edition of a basic text on design theory, this book examines some of the most important techniques used for constructing combinatorial designs. Focusing on several basic designs such as Steiner Triple Systems, Latin Squares, and finite projective and affine planes, the authors add interesting properties such as resolvability and orthogonality. This new edition adds material on embedding designs, algorithms for producing disjoint designs, and algebraic connections between quasigroups and graph decompositions. In addition, several of the more complicated structures, such as the Steiner quadruple systems are also included. The book is supplemented with problem sets and examples.
Synopsis
Now updated, this edition offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure mathematical ideas, including connections between universal algebra and graph designs.