| 书目名称 | Ordering Block Designs | | 副标题 | Gray Codes, Universa | | 编辑 | Megan Dewar,Brett Stevens | | 视频video | | | 概述 | This book provides the first comprehensive introduction to the problem of ordering blocks of designs.Includes a large introductory section on relevant design theory and literature on Gray codes and Un | | 丛书名称 | CMS Books in Mathematics | | 图书封面 |  | | 描述 | .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 co | | 出版日期 | Textbook 2012 | | 关键词 | combinatorial ordering; de Bruijn cycles; design theory; combinatorics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-4325-4 | | isbn_softcover | 978-1-4939-0165-4 | | isbn_ebook | 978-1-4614-4325-4Series ISSN 1613-5237 Series E-ISSN 2197-4152 | | issn_series | 1613-5237 | | copyright | Springer Science+Business Media New York 2012 |
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发表于 2025-3-21 16:32:38
