Handbook of Combinatorial Designs

Charles J. Colbourn, Jeffrey H. Dinitz - Collection Discrete Mathematics and Its Applications

984 pages, parution le 02/11/2006 (2^eme édition)

Ajouter à une liste

Indisponible

Résumé

Presents the latest as well as basic information pertaining to the construction, existence, and uses of combinatorial designs
Supplies extensive tables and examples of Latin squares, orthogonal arrays, balanced incomplete block designs, t-designs, pairwise balanced designs, and Hadamard matrices
Includes many applications to be used in statistics, cryptography, coding theory, graph theory, computer science, information theory, and mathematical finance
Contains a state-of-the-art description of the computational methods used to construct and classify combinatorial designs

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.

Sommaire

Introduction
Block Designs
Latin Squares
Pairwise Balanced Designs
Hadamard Matrices and Related Designs
Other Combinatorial Designs
Related Mathematics
Bibliography and Index

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Charles J. Colbourn, Jeffrey H. Dinitz
Collection	Discrete Mathematics and Its Applications
Parution	02/11/2006
Édition	2^eme édition
Nb. de pages	984
Format	18 x 26
Couverture	Relié
Poids	1865g
Intérieur	Noir et Blanc
EAN13	9781584885061
ISBN13	978-1-58488-506-1