Description |
xviii, 387 pages : illustrations ; 23cm |
Series |
Cambridge studies in advanced mathematics ; 84 |
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Cambridge studies in advanced mathematics ; 84
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Contents |
1. Association schemes -- 2. The Bose-Mesner algebra -- 3. Combining association schemes -- 4. Incomplete-block designs -- 5. Partial balance -- 6. Families of partitions -- 7. Designs for structured sets -- 8. Groups -- 9. Posets -- 10. Subschemes, quotients, duals and products -- 11. Association schemes on the same set -- 12. Where next? -- 13. History and references |
Summary |
"Association schemes were invented by statisticians on order to enable them to extend their range of block designs from 2-designs to partially balanced designs. However, they have intrinsic interest to combinatorialists and to group theorists as they include strongly regular graphs and schemes based on Abelian groups. They also have a wider use within statistics, forming the basic structures of many designed experiments. This book blends these topics in an accessible way without assuming any background in either group theory or designed experiments."--BOOK JACKET |
Bibliography |
Includes bibliographical references and index |
Subject |
Association schemes -- Combinatorial analysis
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Experimental design.
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Association schemes (Combinatorial analysis)
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LC no. |
2003044034 |
ISBN |
052182446X |
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