rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Ordering Block Designs
    sub title: Gray Codes, Universal Cycles and Configuration Orderings
  name:
    name part: Dewar, Megan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Stevens, Brett.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 208 p. online resource.
  abstract: 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.
  table of contents: Abstract -- Acknowledgements -- Introduction -- Background -- Ordering the Blocks of Designs -- Gray Codes and Universal Cycles for Designs -- New Results in Configuration Ordering -- Conclusions and Future Work -- Bibliography -- Index.
  note: by Megan Dewar, Brett Stevens.
  subject:
    topic: Mathematics
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Combinatorics
  subject:
    topic: Mathematics
  subject:
    topic: Combinatorics
  subject:
    topic: Mathematics, general
  subject:
    topic: Discrete Mathematics in Computer Science
  classification: QA164-167.2
  classification: 511.6
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
  identifier: 9781461443254
  identifier: http://dx.doi.org/10.1007/978-1-4614-4325-4
  record info:
    record creation date: 120828
    record change date: 20151030071118.0
    record identifier: 978-1-4614-4325-4