Design Theory / Edition 1

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Design Theory was created to explain many of the most important techniques used for constructing combinatorial designs. The text features clear explanations of basic designs such as Steiner and Kirkman triple systems, mutually orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the reader can master various construction techniques, both classic and modern, and will be able to construct a vast array of combinatorial designs.
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Editorial Reviews

A text for advanced undergraduate and graduate courses in combinatorial design theory, featuring explanations of basic designs such as Steiner and Kirkman triple systems, mutually orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. Covers both classic and modern construction techniques in combinatorial designs, progressing from simple to complex constructions, with exercises throughout each chapter. Annotation c. by Book News, Inc., Portland, Or.
From the Publisher
…it is remarkable how quickly the book propels the reader from the basics to the frontiers of design theory … Combined, these features make the book an excellent candidate for a design theory text. At the same time, even the seasoned researcher of triple systems will find this a useful resource.

—Peter James Dukes (3-VCTR-MS; Victoria, BC), Mathematical Reviews, 2010

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Product Details

  • ISBN-13: 9780849339868
  • Publisher: Taylor & Francis
  • Publication date: 6/25/1997
  • Series: Discrete and Combinatorial Mathematics Series
  • Edition description: Older Edition
  • Edition number: 1
  • Pages: 212
  • Product dimensions: 6.41 (w) x 9.58 (h) x 0.66 (d)

Table of Contents

1 Steiner Triple Systems 1
2 [lambda]-Fold Triple Systems 37
3 Maximum Packings and Minimum Coverings 53
4 Kirkman Triple Systems 71
5 Mutually Orthogonal Latin Squares 93
6 Affine and Projective Planes 131
7 Steiner Quadruple Systems 145
App. A Cyclic Steiner Triple Systems 187
App. B: Answers to Selected Exercises 189
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