Ordering block designs : gray codes, universal cycles and configuration orderings
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...
保存先:
| 主要な著者: | , |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2012. |
| シリーズ: | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
|
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ordering block designs, gray codes, universal cycles and configuration orderings, Megan Dewar, Brett Stevens, 2012, New York, NY, Springer, 1 vol. (XI-207 p.), CMS Books in Mathematics, 978-1-461-44324-7 • Ordering block designs, gray codes, universal cycles and configuration orderings, Megan Dewar, Brett Stevens, 2012, New York, NY, Springer, 1 vol. (XI-207 p.), CMS Books in Mathematics, 978-1-461-44324-7 • Ordering Block Designs, Texte imprimé, 9781461443261 • Ordering Block Designs, Texte imprimé, 9781493901654 |
| LEADER | 04358nam a22003857a 4500 | ||
|---|---|---|---|
| 001 | 958026 | ||
| 008 | 130325q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN168299909 | ||
| 020 | |a 9781461443254 |z 9781461443254 | ||
| 020 | |a 9781461443254 | ||
| 041 | 0 | |a eng | |
| 082 | |a 511.6 | ||
| 100 | 1 | |a Dewar, Megan. | |
| 245 | 1 | 0 | |a Ordering block designs : |b gray codes, universal cycles and configuration orderings |c by Megan Dewar, Brett Stevens. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a CMS Books in Mathematics, Ouvrages de mathématiques de la SMC |x 2197-4152 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 700 | 1 | |a Stevens, Brett, |d 19..-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 178413275 |t Ordering block designs |o gray codes, universal cycles and configuration orderings |f Megan Dewar, Brett Stevens |d 2012 |c New York, NY |n Springer |p 1 vol. (XI-207 p.) |s CMS Books in Mathematics |z 978-1-461-44324-7 | |
| 776 | 0 | |0 178413275 |t Ordering block designs |o gray codes, universal cycles and configuration orderings |f Megan Dewar, Brett Stevens |d 2012 |c New York, NY |n Springer |p 1 vol. (XI-207 p.) |s CMS Books in Mathematics |z 978-1-461-44324-7 | |
| 776 | 0 | |t Ordering Block Designs |b Texte imprimé |z 9781461443261 | |
| 776 | 0 | |t Ordering Block Designs |b Texte imprimé |z 9781493901654 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-1-4614-4325-4 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-G73Z0XPK-L |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:74958727X |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-1-4614-4325-4 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:752335804 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-1-4614-4325-4 |z Accès INSA CVL | |
| 997 | |0 958026 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||