Surveys in Combinatorics 2021

doi:10.1017/9781009036214

This volume contains nine survey articles based on plenary lectures given at the 28th British Combinatorial Conference, hosted online by Durham University in July 2021. This biennial conference is a well-established international event, attracting speakers from around the world. Written by some of the foremost researchers in the field, these surveys provide up-to-date overviews of several areas of contemporary interest in combinatorics. Topics discussed include maximal subgroups of finite simple groups, Hasse–Weil type theorems and relevant classes of polynomial functions, the partition complex, the graph isomorphism problem, and Borel combinatorics. Representing a snapshot of current developments in combinatorics, this book will be of interest to researchers and graduate students in mathematics and theoretical computer science.

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Surveys in Combinatorics 2021

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Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

1 - The partition complex: an invitation to combinatorial commutative algebra
pp 1-42

2 - Hasse-Weil type theorems and relevant classes of polynomial functions
pp 43-102

3 - Decomposing the edges of a graph into simpler structures
pp 103-132

4 - Generating graphs randomly
pp 133-186

5 - Recent advances on the graph isomorphism problem
pp 187-234

6 - Extremal aspects of graph and hypergraph decomposition problems
pp 235-266

7 - Borel combinatorics of locally finite graphs
pp 267-320

8 - Codes and designs in Johnson graphs with high symmetry
pp 321-342

9 - Maximal subgroups of finite simple groups: classifications and applications
pp 343-370

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