Triple Systems

Charles Colbourn, Alex Rosa

ISBN 10: 0198535767 / ISBN 13: 9780198535768

Published by Oxford University Press, GB, 1999

About this Item

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.

Seller Inventory # LU-9780198535768

Bibliographic Details

• Title: Triple Systems
• Publisher: Oxford University Press, GB
• Publication Date: 1999
• Language: English
• ISBN 10: 0198535767
• ISBN 13: 9780198535768
• Binding: Hardback
• Condition: New
• Dimensions: 23.4W x 15.6H x 3.17D centimeters 23.4 centimeters width by 15.6 centimeters height by 3.17 centimeters depth
• Weight: 997 grams

About this title

Synopsis

Among the simplest combinatorial designs, triple systems are a natural generalization of graphs and have connections with geometry, algebra, group theory, finite fields, and cyclotomy. Applications of triple systems are found in coding theory, cryptography, computer science, and statistics. In many cases, triple systems provide the prototype for deep results in combinatorial design theory, and a number of important results were first understood in the context of triple systems and then generalized. 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. It includes representative samples of the major styles of proof technique and a comprehensive bibliography.

About the Author

Charles Colbourn is at University of Vermont. Alex Rosa is at McMaster University.