Triple Systems

By: Charles Colbourn, Alex Rosa

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Hardcover | 1 March 1999

At a Glance

Hardcover
580 Pages

Dimensions(cm)
23.39 x 15.6 x 3.18

Hardcover

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Triple systems are among the simplest combinatorial designs, and are a natural generalization of graphs. They have connections with geometry, algebra, group theory, finite fields, and cyclotomy; they have applications in coding theory, cryptography, computer science, and statistics. Triple systems provide in many cases the prototype for deep results in combinatorial design theory; this design theory is permeated by problems that were first understood in the context of triple systems and then generalized. Such a rich set of connections has made the study of triple systems an extensive, but sometimes disjointed, field of combinatorics. This book attempts to survey current knowledge on the subject, to gather together common themes, and to provide an accurate portrait of the huge variety of problems and results. Representative samples of the major syles of proof technique are included, as is a comprehensive bibliography.

Industry Reviews

This magnificent bible on triple systems should belong on the shelves of everyone who works in triple systems and block designs. It will be a useful reference text for people in allied fields such as graph theory and cryptography. The level of the text is aimed at graduate and research use, although some chapters could be used as a basis for an honours student's project. . . . [J]ust about every other aspect of triple systems gets a mention somewhere in this great book, and the bibliography is sufficiently complete that it mentions related work not covered in the text. -- Mathematical Reviews

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