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AuthorStinson, Douglas R. author
TitleCombinatorial Designs [electronic resource] : Constructions and Analysis / by Douglas R. Stinson
ImprintNew York, NY : Springer New York, 2004
Connect tohttp://dx.doi.org/10.1007/b97564
Descript XVI, 300 p. online resource

SUMMARY

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 in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource


CONTENT

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


Mathematics Computer science -- Mathematics Life sciences Mathematical models Probabilities Discrete mathematics Mathematics Discrete Mathematics Mathematical Modeling and Industrial Mathematics Probability Theory and Stochastic Processes Discrete Mathematics in Computer Science Life Sciences general



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