Ordering Block Designs: Gray Codes, Universal Cycles and Configuration Orderings - Couverture souple

Dewar, Megan; Stevens, Brett

9781493901654: Ordering Block Designs: Gray Codes, Universal Cycles and Configuration Orderings

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ISBN 10 : 1493901656 ISBN 13 : 9781493901654

Editeur : 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.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l?auteur

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.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurSpringer
Date d'�dition2014
ISBN 10 1493901656
ISBN 13 9781493901654
ReliureBroch�
Langueanglais
Nombre de pages220
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9781461443247: Ordering Block Designs: Gray Codes, Universal Cycles and Configuration Orderings

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ISBN 10 : 1461443245 ISBN 13 : 9781461443247
Editeur : Springer-Verlag New York Inc., 2012
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Ordering Block Designs

Megan Dewar|Brett Stevens

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ISBN 10 : 1493901656 ISBN 13 : 9781493901654

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Etat : 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. N� de r�f. du vendeur 4213696

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Brett Stevens

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Taschenbuch. Etat : 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. N� de r�f. du vendeur 9781493901654

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Dewar, Megan; Stevens, Brett

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Ordering Block Designs : Gray Codes, Universal Cycles and Configuration Orderings

Brett Stevens

Edit� par Springer US, Springer New York, 2014

ISBN 10 : 1493901656 ISBN 13 : 9781493901654

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Taschenbuch. Etat : Neu. Druck auf Anfrage 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. N� de r�f. du vendeur 9781493901654

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Ordering Block Designs

Brett Stevens

Edit� par Springer US, Springer New York Sep 2014, 2014

ISBN 10 : 1493901656 ISBN 13 : 9781493901654

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Taschenbuch. Etat : Neu. 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 220 pp. Englisch. N� de r�f. du vendeur 9781493901654

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Ordering Block Designs: Gray Codes, Universal Cycles and Configuration Orderings

Megan Dewar

Edit� par Springer-Verlag New York Inc., 2014

ISBN 10 : 1493901656 ISBN 13 : 9781493901654

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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 343. N� de r�f. du vendeur C9781493901654

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