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E-raamat: Surveys in Combinatorics 2024

Edited by (Queen Mary University of London), Edited by (Queen Mary University of London)
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This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, held at Queen Mary University of London in July 2024. Each article provides an overview of recent developments in a current hot research topic in combinatorics. Topics covered include: Latin squares, Erdos covering systems, finite field models, sublinear expanders, cluster expansion, the slice rank polynomial method, and oriented trees and paths in digraphs. The authors are among the world's foremost researchers on their respective topics but their surveys are accessible to 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, helping researchers and graduate students in mathematics and theoretical computer science to keep abreast of the latest developments in the field.

This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, one of the major international events in combinatorics. Written by leading experts in the field, these articles provide a snapshot of current developments in combinatorics for researchers and graduate students in discrete mathematics.

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This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
1. Intersection theory of matroids: variations on a theme Federico
Ardila-Mantilla;
2. Erds covering systems Paul Balister;
3. The cluster
expansion in combinatorics Matthew Jenssen;
4. Sublinear expanders and their
applications Shoham Letzter;
5. Transversals in Latin squares Richard
Montgomery;
6. Finite field models in arithmetic combinatorics twenty years
on Sarah Peluse;
7. The slice rank polynomial method a survey a few years
later Lisa Sauermann;
8. An introduction to transshipments over time Martin
Skutella;
9. Oriented trees and paths in digraphs Maya Stein.
Felix Fischer is Senior Lecturer in Optimisation and Operations Research in the School of Mathematical Sciences at Queen Mary University of London. Robert Johnson is Senior Lecturer in Pure Mathematics in the School of Mathematical Sciences at Queen Mary University of London.