| 书目名称 | Classification Algorithms for Codes and Designs | | 编辑 | Petteri Kaski,Patric R.J. Östergård | | 视频video | | | 概述 | Excellent interdisciplinary monograph on highly applications relevant topic.Provides the first comprehensive reference on combinatorial classification algorithms.Addresses both the general theory and | | 丛书名称 | Algorithms and Computation in Mathematics | | 图书封面 |  | | 描述 | A new starting-point and a new method are requisite, to insure a complete [classi?cation of the Steiner triple systems of order 15]. This method was furnished, and its tedious and di?cult execution und- taken, by Mr. Cole. F. N. Cole, L. D. Cummings, and H. S. White (1917) [129] The history of classifying combinatorial objects is as old as the history of the objects themselves. In the mid-19th century, Kirkman, Steiner, and others became the fathers of modern combinatorics, and their work – on various objects, including (what became later known as) Steiner triple systems – led to several classi?cation results. Almost a century earlier, in 1782, Euler [180] published some results on classifying small Latin squares, but for the ?rst few steps in this direction one should actually go at least as far back as ancient Greece and the proof that there are exactly ?ve Platonic solids. One of the most remarkable achievements in the early, pre-computer era is the classi?cation of the Steiner triple systems of order 15, quoted above. An onerous task that, today, no sensible person would attempt by hand calcu- tion. Because, with the exception of occasional parameters for which com- natorial ar | | 出版日期 | Book 2006 | | 关键词 | algorithms; classification; codes; combinatorics; complexity; designs | | 版次 | 1 | | doi | https://doi.org/10.1007/3-540-28991-7 | | isbn_softcover | 978-3-642-43250-7 | | isbn_ebook | 978-3-540-28991-3Series ISSN 1431-1550 | | issn_series | 1431-1550 | | copyright | Springer-Verlag Berlin Heidelberg 2006 |
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发表于 2025-3-21 17:16:01
