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El. knyga: Surveys in Combinatorics 2021

Edited by (Durham University), Edited by (Durham University), Edited by (Durham University), Edited by (Durham University), Edited by (Durham University), Edited by (Durham University)
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The nine survey articles in this book provide expanded accounts of plenary lectures given at the British Combinatorial Conference in July 2021. Written by leading experts in the field, they present the state of the art in several areas of contemporary interest in combinatorics.

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.

Daugiau informacijos

These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.
Preface vii
Konrad K. Dabrowski
Maximilien Gadouleau
Nicholas Georgiou
Matthew Johnson
George B. Mertzios
Daniel Paulusma
1 The partition complex: an invitation to combinatorial commutative algebra
1(42)
Karim Adiprasito
Geva Yashfe
2 Hasse-Weil type theorems and relevant classes of polynomial functions
43(60)
Daniele Bartoli
3 Decomposing the edges of a graph into simpler structures
103(30)
Marthe Bonamy
4 Generating graphs randomly
133(54)
Catherine Greenhill
5 Recent advances on the graph isomorphism problem
187(48)
Martin Grohe
Daniel Neuen
6 Extremal aspects of graph and hypergraph decomposition problems
235(32)
Stefan Glock
Daniela Kiihn
Deryk Osthus
7 Borel combinatorics of locally finite graphs
267(54)
Oleg Pikhurko
8 Codes and designs in Johnson graphs with high symmetry
321(22)
Cheryl E. Praeger
9 Maximal subgroups of finite simple groups: classifications and applications
343
Colva M. Roney-Dougal
Konrad K. Dabrowski is Teaching Fellow in the Department of Computer Science at Durham University. Maximilien Gadouleau is Associate Professor in the Department of Computer Science at Durham University. Nicholas Georgiou is Assistant Professor in the Department of Mathematical Sciences at Durham University. Matthew Johnson is Professor in the Department of Computer Science at Durham University. George B. Mertzios is Associate Professor in the Department of Computer Science at Durham University. Daniėl Paulusma is Professor in the Department of Computer Science at Durham University.