Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)

Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence results.

Over 30% longer than the first edition, the book builds upon the groundwork of its predecessor while retaining the original contributors' expertise. The first part contains a brief introduction and history of the subject. The following parts focus on four main classes of combinatorial designs: balanced incomplete block designs, orthogonal arrays and Latin squares, pairwise balanced designs, and Hadamard and orthogonal designs. Closely connected to the preceding sections, the next part surveys 65 additional classes of designs, such as balanced ternary, factorial, graphical, Howell, quasi-symmetric, and spherical. The final part presents mathematical and computational background related to design theory.

New to the Second Edition

An introductory part that provides a general overview and a historical perspective of the area

New chapters on the history of design theory, various codes, bent functions, and numerous types of designs

Fully updated tables, including BIBDs, MOLS, PBDs, and Hadamard matrices

Nearly 2,200 references in a single bibliographic section

Meeting the need for up-to-date and accessible tabular and reference information, this handbook provides the tools to understand combinatorial design theory and applications that span the entire discipline.

The author maintains a website with more information.

Charles J. Colbourn, Jeffrey H. Dinitz