Computational and Constructive Design Theory / edited by W. D. Wallis
| データ種別 | 電子ブック |
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| 出版情報 | Boston, MA : Springer US : Imprint: Springer , 1996 |
| 本文言語 | 英語 |
| 大きさ | XIV, 362 p. 5 illus : online resource |
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| 内容注記 | 1 A Bridge Club Design 2 The First Time 3 Computational Methods in Design Theory 4 Finding Designs with Genetic Algorithms 5 Making the Mols Table 6 On Writing Isomorphism Programs 7 The Nonexistence of 4—(12,6,6) Designs 8 Bibds with k = 6 and ? = 1 9 Polyhedral Methods in Design Theory 10 Another Look at Large Sets of Steiner Triple Systems 11 (22, 33,12, 8, 4)-BIBD, AN UPDATE |
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| 一般注記 | Over the last several years, there has been a significant increase in compu tational combinatorics. The most widely reported results were, of course, the proof of the Four Color Theorem and the proof that there is no projective plane of parameter 10. Although the computer was essential in both proofs, the only reason for this was the fact that life is short. The computations involved were not different in kind from those which have been done by human brains without electronic assistance; they were just longer. Another important fact to notice is that both problems were theoretical, pure mathematical ones. The pursuit of the Four-Color Theorem has led to the development of whole branches of graph theory. The plane of parameter 10 is not an isolated case; its nonexistence is the first (and so far, the only) coun terexample to the conjecture that the Bruck-Chowla-Ryser conditions were necessary and sufficient for the existence of a symmetric balanced incomplete block design; the study of this problem has also led to a number of theoretical advances, including investigation of the relationship between codes and designs |
| 著者標目 | Wallis, W. D. editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Computer science -- Mathematics 全ての件名で検索 LCSH:Algorithms LCSH:Combinatorics FREE:Mathematics FREE:Combinatorics FREE:Algorithms FREE:Discrete Mathematics in Computer Science |
| 分 類 | DC23:511.6 |
| 巻冊次 | ISBN:9781475724974 
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| ISBN | 9781475724974 |
| URL | http://dx.doi.org/10.1007/978-1-4757-2497-4 |
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