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Titlebook: Computational and Constructive Design Theory; W. D. Wallis Book 19961st edition Springer Science+Business Media Dordrecht 1996 Morphism.Vo

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发表于 2025-3-21 16:36:09 | 显示全部楼层 |阅读模式
书目名称Computational and Constructive Design Theory
编辑W. D. Wallis
视频videohttp://file.papertrans.cn/234/233227/233227.mp4
图书封面Titlebook: Computational and Constructive Design Theory;  W. D. Wallis Book 19961st edition Springer Science+Business Media Dordrecht 1996 Morphism.Vo
描述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.
出版日期Book 19961st edition
关键词Morphism; Volume; algorithms; bridge; computation; computer; construction; design; eXist; genetic algorithm; g
版次1
doihttps://doi.org/10.1007/978-1-4757-2497-4
isbn_ebook978-1-4757-2497-4
copyrightSpringer Science+Business Media Dordrecht 1996
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发表于 2025-3-21 23:24:21 | 显示全部楼层
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 bee
发表于 2025-3-22 03:37:26 | 显示全部楼层
Symmetry Breaking in the Standard Models, and it was required that each couple plays against each other couple two or three times. We have used this problem as a vehicle for exploring several techniques of design construction, some of which involve the application of methods more commonly used in continuous optimization problems.
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https://doi.org/10.1007/978-3-319-24566-9 6 and λ = 1 the whole question becomes much more difficult. In the present paper we discuss the work that has been done on this. There are, at present, 55 values of υ for which the existence of such a design is in doubt. We will show how the remaining values of υ are handled.
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,BIBDs with , = 6 and λ = 1, 6 and λ = 1 the whole question becomes much more difficult. In the present paper we discuss the work that has been done on this. There are, at present, 55 values of υ for which the existence of such a design is in doubt. We will show how the remaining values of υ are handled.
发表于 2025-3-23 07:43:32 | 显示全部楼层
Another Look at Large Sets of Steiner Triple Systems,ber of initial large sets. Each construction is explained, often with the aid of tables of blocks. In the interests of brevity, proofs and complete examples are not given, though the ingredients needed for the construction of the examples are. The recursive constructions are of three types:
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