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Combinatorial designs: constructions and analysis

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 tr...

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Detalles Bibliográficos
Autor principal: Stinson, Douglas R
Lenguaje:eng
Publicado: Springer 2004
Materias:
Acceso en línea:https://dx.doi.org/10.1007/b97564
http://cds.cern.ch/record/2006109
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author Stinson, Douglas R
author_facet Stinson, Douglas R
author_sort Stinson, Douglas R
collection CERN
description 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.
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spelling cern-20061092021-04-21T20:24:04Zdoi:10.1007/b97564http://cds.cern.ch/record/2006109engStinson, Douglas RCombinatorial designs: constructions and analysisMathematical Physics and MathematicsCreated 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.Springeroai:cds.cern.ch:20061092004
spellingShingle Mathematical Physics and Mathematics
Stinson, Douglas R
Combinatorial designs: constructions and analysis
title Combinatorial designs: constructions and analysis
title_full Combinatorial designs: constructions and analysis
title_fullStr Combinatorial designs: constructions and analysis
title_full_unstemmed Combinatorial designs: constructions and analysis
title_short Combinatorial designs: constructions and analysis
title_sort combinatorial designs: constructions and analysis
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/b97564
http://cds.cern.ch/record/2006109
work_keys_str_mv AT stinsondouglasr combinatorialdesignsconstructionsandanalysis