ABSTRACT

Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields.

After an o

chapter 1|14 pages

Basic Concepts

chapter 2|20 pages

Balanced Designs

chapter 3|20 pages

Finite Geometries

chapter 4|8 pages

Some Properties of Finite Geometries

chapter 5|22 pages

Difference Sets and Difference Methods

chapter 6|12 pages

More about Block Designs

chapter 7|20 pages

The Main Existence Theorem

chapter 8|20 pages

Latin Squares

chapter 9|16 pages

More about Orthogonality

chapter 10|14 pages

One-Factorizations

chapter 11|12 pages

Applications of One-Factorizations

chapter 12|22 pages

Steiner Triple Systems

chapter 13|16 pages

Kirkman Triple Systems and Generalizations

chapter 14|26 pages

Hadamard Matrices

chapter 15|22 pages

Room Squares

chapter 16|16 pages

Further Applications of Design Theory