Design Theory, Second Edition

Charles C. Lindner, Christopher A. Rodger

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October 23, 2008 by Chapman and Hall/CRC
Textbook - 272 Pages - 63 B/W Illustrations
ISBN 9781420082968 - CAT# C2965
Series: Discrete Mathematics and Its Applications

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Features

  • Develops a deep understanding of the methods through both formal descriptions of the constructions and the accompanying illustrations
  • Focuses on construction methods to provide students with the expertise to produce nonstandard experimental designs when needed
  • Includes important results in combinatorial designs, such as the existence of orthogonal Latin squares, balanced incomplete and pairwise balanced designs, affine and projective planes, and quadruple systems
  • Contains extensive new material on embeddings, directed designs, universal algebraic representations of designs, and intersection properties of designs

Summary

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.

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