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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...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2012.
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| Edición: | 1st ed. 2012. |
| Colección: | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-1-4614-4325-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220120081513.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120828s2012 xxu| s |||| 0|eng d | ||
| 020 | |a 9781461443254 |9 978-1-4614-4325-4 | ||
| 024 | 7 | |a 10.1007/978-1-4614-4325-4 |2 doi | |
| 050 | 4 | |a QA297.4 | |
| 072 | 7 | |a PBD |2 bicssc | |
| 072 | 7 | |a MAT036000 |2 bisacsh | |
| 072 | 7 | |a PBD |2 thema | |
| 082 | 0 | 4 | |a 511.1 |2 23 |
| 100 | 1 | |a Dewar, Megan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Ordering Block Designs |h [electronic resource] : |b Gray Codes, Universal Cycles and Configuration Orderings / |c by Megan Dewar, Brett Stevens. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2012. | |
| 300 | |a XII, 208 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, |x 2197-4152 | |
| 505 | 0 | |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. | |
| 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. | ||
| 650 | 0 | |a Discrete mathematics. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Computer science-Mathematics. | |
| 650 | 1 | 4 | |a Discrete Mathematics. |
| 650 | 2 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Discrete Mathematics in Computer Science. |
| 700 | 1 | |a Stevens, Brett. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781461443247 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461443261 |
| 776 | 0 | 8 | |i Printed edition: |z 9781493901654 |
| 830 | 0 | |a CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, |x 2197-4152 | |
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| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||