WorldCat Identities

Dewar, Megan

Overview
Works: 3 works in 18 publications in 1 language and 409 library holdings
Genres: Academic theses 
Roles: Author, Editor
Classifications: QA279, 511.6
Publication Timeline
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Most widely held works by Megan Dewar
Ordering block designs : gray codes, universal cycles and configuration orderings by Megan Dewar( )

11 editions published in 2012 in English and held by 402 WorldCat member libraries worldwide

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
An interval colouring approach to the computer test scheduling problem by Megan Dewar( )

4 editions published between 2000 and 2003 in English and held by 4 WorldCat member libraries worldwide

Gray codes, Universal cycles and configuration orderings for block designs by Megan Dewar( Book )

3 editions published between 2007 and 2008 in English and held by 3 WorldCat member libraries worldwide

 
Audience Level
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Audience Level
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Ordering block designs : gray codes, universal cycles and configuration orderings
Covers
Languages
English (18)