Surveys in combinatorics 2022
著者
書誌事項
Surveys in combinatorics 2022
（London Mathematical Society lecture note series, 481）
Cambridge University Press, 2022
- : pbk
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注記
"This volume contains eight survey articles by the invited speakers of the 29th British Combinatorial Conference, held at Lancaster University in July 2022."--P. [4] of cover
Includes bibliographical references
内容説明・目次
内容説明
This volume contains eight survey articles by the invited speakers of the 29th British Combinatorial Conference, held at Lancaster University in July 2022. Each article provides an overview of recent developments in a current hot research topic in combinatorics. These topics span graphs and hypergraphs, Latin squares, linear programming, finite fields, extremal combinatorics, Ramsey theory, graph minors and tropical geometry. The authors are among the world's foremost researchers on their respective topics but their surveys are aimed at nonspecialist readers: they are written clearly with little prior knowledge assumed and with pointers to the wider literature. Taken together these surveys give a snapshot of the research frontier in contemporary combinatorics, making the latest developments accessible to researchers and graduate students in mathematics and theoretical computer science with an interest in combinatorics and helping them to keep abreast of the field.
目次
- Preface Anthony Nixon and Sean Prendiville
- 1. Fair partitions Noga Alon
- 2. Hypergraph Turan Problems in \ell_2-norm Jozsef Balogh, Felix Christian Clemen and Bernard Lidicky
- 3. Circuit imbalance measures and linear programming Farbod Ekbatani, Bento Natura and Laszlo A. Vegh
- 4. Intersection problems in extremal combinatorics: theorems, techniques and questions old and new David Ellis
- 5. Finite geometry and extremal graph theory Valentina Pepe
- 6. Rainbow subgraphs and their applications Alexey Pokrovskiy
- 7. Explicit bounds for graph minors Paul Wollan
- 8. Convex and combinatorial tropical geometry Josephine Yu.
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