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＜電子ブック＞
Combinatorial Designs : Constructions and Analysis / by Douglas Stinson

版	1st ed. 2004.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2004
本文言語	英語
大きさ	XVI, 300 p : online resource
著者標目	*Stinson, Douglas author SpringerLink (Online service)
件　名	LCSH:Discrete mathematics LCSH:Mathematical models LCSH:Probabilities LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Life sciences FREE:Discrete Mathematics FREE:Mathematical Modeling and Industrial Mathematics FREE:Probability Theory FREE:Discrete Mathematics in Computer Science FREE:Life Sciences
一般注記	to Balanced Incomplete Block Designs -- Symmetric BIBDs -- Difference Sets and Automorphisms of Designs -- Hadamard Matrices and Designs -- Resolvable BIBDs -- Latin Squares -- Pairwise Balanced Designs I: Designs with Specified Block Sizes -- Pairwise Balanced Designs II: Minimal Designs -- t-Designs and t-wise Balanced Designs -- Orthogonal Arrays and Codes -- Selected Applications of Combinatorial Designs Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals incomputer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource HTTP:URL=https://doi.org/10.1007/b97564

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