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Surveys in Combinatorics 2005
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This volume contains survey articles based on the invited lectures given at the Twentieth British Combinatorial Conference, organised jointly by the University of Durham and the Open University. It was held in July 2005 at the University of Durham. This biennial conference is a well-established international event, with speakers from all over the world. By its nature this volume provides an up-to-date overview of current research activity in several areas of combinatorics, ranging from combinatorial number theory to geometry. The authors are some of the world's foremost researchers in their fields, and here they summarize existing results, and give a unique preview of work currently being written up. The book provides a valuable survey of the present state of knowledge in combinatorics. It will be useful to research workers and advanced graduate students, primarily in mathematics but also in computer science, statistics and engineering.
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Table of Contents

1. Finite field models in additive combinatorics Ben Green; 2. The subgroup structure of finite classical groups in terms of geometric configurations Oliver H. King; 3. Constructing combinatorial objects via cliques Patric R. J. Ostergard; 4. Flocks of circle planes Tim Penttila; 5. Judicious partitions and related problems Alex Scott; 6. An isoperimetric method for the small sumset problem O. Serra; 7. The structure of claw-free graphs Maria Chudnovsky and Paul Seymour; 8. The multivariate Tutte polynomial (alias Potts model) for graphs and matroids Alan D. Sokal; 9. The sparse regularity lemma and its applications Stefanie Gerke and Angelika Steger.

About the Author

Bridget S. Webb is a Lecturer in Pure Mathematics at The Open University.

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