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.
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About the Author
Charles Colbourn is at University of Vermont. Alex Rosa is at McMaster University.
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Triple Systems
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Oxford University Press, Oxford, 1999
ISBN 10: 0198535767
ISBN 13: 9780198535768
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Triple Systems (Hardcover)
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Oxford University Press, Oxford, 1999
ISBN 10: 0198535767
ISBN 13: 9780198535768
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Hardcover. Condition: new. Hardcover. 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 contextof 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 tosurvey 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. Triple systems are among the simplest combinatorial designs. They have applications in coding theory, cryptography, computer science, statistcs, and many other areas. This book provides the first systematic and comprehensive treatment of triple systems. It gives an accurate picture of an incredibly rich and vibrant area of combinatorial mathematics. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198535768
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Triple Systems (Hardcover)
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ISBN 10: 0198535767
ISBN 13: 9780198535768
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Hardcover. Condition: new. Hardcover. 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 contextof 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 tosurvey 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. Triple systems are among the simplest combinatorial designs. They have applications in coding theory, cryptography, computer science, statistcs, and many other areas. This book provides the first systematic and comprehensive treatment of triple systems. It gives an accurate picture of an incredibly rich and vibrant area of combinatorial mathematics. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780198535768
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