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. Daniël Paulusma is Professor in the Department of Computer Science at Durham University.

• 1. The partition complex: an invitation to combinatorial commutative algebra Karim Adiprasito and Geva Yashfe; 2. Hasse-Weil type theorems and relevant classes of polynomial functions Daniele Bartoli; 3. Decomposing the edges of a graph into simpler structures Marthe Bonamy; 4. Generating graphs randomly Catherine Greenhill; 5. Recent advances on the graph isomorphism problem Martin Grohe and Daniel Neuen; 6. Extremal aspects of graph and hypergraph decomposition problems Stefan Glock, Daniela Kühn and Deryk Osthus; 7. Borel combinatorics of locally finite graphs Oleg Pikhurko; 8. Codes and designs in Johnson graphs with high symmetry Cheryl E. Praeger; 9. Maximal subgroups of finite simple groups: classifications and applications Colva M. Roney-Dougal.

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