Combinatorial Designs

Constructions and Analysis

  • Douglas R. Stinson

About this book

Introduction

Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.

Keywords

Combinatorics block design calculus combinatorial design complexity sets statistics

Authors and affiliations

  • Douglas R. Stinson
    • 1
  1. 1.School of Computer ScienceUniversity of WaterlooWaterlooCanada

Bibliographic information

  • DOI https://doi.org/10.1007/b97564
  • Copyright Information Springer-Verlag New York, Inc. 2004
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-95487-5
  • Online ISBN 978-0-387-21737-6
  • About this book