Surveys in Combinatorics 2005

Informationen zum Autor Bridget S. Webb is a Lecturer in Pure Mathematics at The Open University. Klappentext This volume provides an up-to-date overview of current research across combinatorics, Zusammenfassung This volume provides an up-to-date overview of current research 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. Inhaltsverzeichnis 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.

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

Klappentext
This volume provides an up-to-date overview of current research across combinatorics,


Zusammenfassung
This volume provides an up-to-date overview of current research 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.

Inhalt
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.

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