Ordering Block Designs: Gray Codes, Universal Cycles and Configuration Orderings (CMS Books in Mathematics)
Dewar, Megan; Stevens, Brett
ISBN 10: 1493901656 ISBN 13: 9781493901654
Verlag: Springer, 2014
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The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics. The practice of ordering combinatorial objects can trace its roots to bell ringing which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn.
These two fascinating areas of mathematics are brought together for the first time in this book. It presents new terminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with background material on combinatorial block designs and combinatorial orderings, including Gray codes -- the most common and well-studied combinatorial ordering concept -- and universal cycles. The central chapter discusses how ordering concepts can be applied to block designs, with definitions from existing (configuration orderings) and new (Gray codes and universal cycles for designs) research. Two chapters are devoted to a survey of results in the field, including illustrative proofs and examples. The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics.
This book will appeal to both graduate students and researchers. Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems. Practitioners will also find the book appealing for its accessible, self-contained introduction to the mathematics behind the applications.
Über die Autorin bzw. den Autor:
Megan Dewar is an Adjunct Professor at the School of Mathematics and Statistics, Carleton University.
Brett Stevens is a Professor at the School of Mathematics and Statistics, Carleton University.
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Titel: Ordering Block Designs: Gray Codes, ...
Verlag: Springer
Erscheinungsdatum: 2014
Einband: Softcover
Zustand: New
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Ordering Block Designs
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Springer New York, 2014
ISBN 10: 1493901656
ISBN 13: 9781493901654
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Kartoniert / Broschiert. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book provides the first comprehensive introduction to the problem of ordering blocks of designsIncludes a large introductory section on relevant design theory and literature on Gray codes and Universal cyclesExpands the definition of c. Bestandsnummer des Verkäufers 4213696
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Ordering Block Designs | Gray Codes, Universal Cycles and Configuration Orderings
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Taschenbuch. Zustand: Neu. Ordering Block Designs | Gray Codes, Universal Cycles and Configuration Orderings | Brett Stevens (u. a.) | Taschenbuch | xii | Englisch | 2014 | Springer New York | EAN 9781493901654 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 105101558
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Ordering Block Designs
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ISBN 10: 1493901656
ISBN 13: 9781493901654
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics.The practice of ordering combinatorial objects can trace its roots to bell ringing which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn.These two fascinating areas of mathematics are brought together for the first time in this book. It presents new terminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with background material on combinatorial block designs and combinatorial orderings, including Gray codes -- the most common and well-studied combinatorial ordering concept -- and universal cycles.The central chapter discusses how ordering concepts can be applied to block designs, with definitions from existing (configuration orderings) and new (Gray codes and universal cycles for designs) research. Two chapters are devoted to a survey of results in the field, including illustrative proofs and examples. The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics.This book will appeal to both graduate students and researchers.Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems.Practitioners will also find the book appealing for its accessible, self-contained introduction to the mathematics behind the applications.Libri GmbH, Europaallee 1, 36244 Bad Hersfeld 220 pp. Englisch. Bestandsnummer des Verkäufers 9781493901654
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics. The practice of ordering combinatorial objects can trace its roots to bell ringing which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn. These two fascinating areas of mathematics are brought together for the first time in this book. It presents new terminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with background material on combinatorial block designs and combinatorial orderings, including Gray codes -- the most common and well-studied combinatorial ordering concept -- and universal cycles. The central chapter discusses how ordering concepts can be applied to block designs, with definitions from existing (configuration orderings) and new (Gray codes and universal cycles for designs) research. Two chapters are devoted to a survey of results in the field, including illustrative proofs and examples. The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics. This book will appeal to both graduate students and researchers. Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems. Practitioners will also find the book appealing for its accessible, self-contained introduction to the mathematics behind the applications. 220 pp. Englisch. Bestandsnummer des Verkäufers 9781493901654
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Ordering Block Designs : Gray Codes, Universal Cycles and Configuration Orderings
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics. The practice of ordering combinatorial objects can trace its roots to bell ringing which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn. These two fascinating areas of mathematics are brought together for the first time in this book. It presents new terminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with background material on combinatorial block designs and combinatorial orderings, including Gray codes -- the most common and well-studied combinatorial ordering concept -- and universal cycles. The central chapter discusses how ordering concepts can be applied to block designs, with definitions from existing (configuration orderings) and new (Gray codes and universal cycles for designs) research. Two chapters are devoted to a survey of results in the field, including illustrative proofs and examples. The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics. This book will appeal to both graduate students and researchers. Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems. Practitioners will also find the book appealing for its accessible, self-contained introduction to the mathematics behind the applications. Bestandsnummer des Verkäufers 9781493901654
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Ordering Block Designs: Gray Codes, Universal Cycles and Configuration Orderings
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ISBN 10: 1493901656
ISBN 13: 9781493901654
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