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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

4 votes
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Bounding Ramsey numbers with quadratic or higher residues

For parameters $m,k$, we call a graph on $n$ vertices Ramsey if it contains no complete subgraph on $m$ vertices and its complement contains no complete subgraph on $k$ vertices (or vice versa). The e …