Description |
263 pages : illustrations ; 25 cm |
Series |
Discrete mathematics and its applications |
|
Discrete mathematics and its applications.
|
Contents |
1. Steiner Triple Systems -- 2. [lamda]-Fold Triple Systems -- 3. Quasigroup Identities and Graph Decompositions -- 4. Maximum Packings and Minimum Coverings -- 5. Kirkman Triple Systems -- 6. Mutually Orthogonal Latin Squares -- 7. Affine and Projective Planes -- 8. Intersections of Steiner Triple Systems -- 9. Embeddings -- 10. Steiner Quadruple Systems -- A. Cyclic Steiner Triple Systems -- B. Answers to Selected Exercises |
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 readers understand and enjoy this branch of mathematics." "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."--BOOK JACKET |
Notes |
Formerly CIP. Uk |
Bibliography |
Includes bibliographical references (pages 259-261) and index |
Subject |
Combinatorial designs and configurations.
|
Author |
Rodger, C. A. (Christopher Andrew)
|
LC no. |
2008039583 |
ISBN |
9781420082968 hardcover alkaline paper |
|
1420082965 hardcover alkaline paper |
|