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Erdős problem 180

For every finite family F\mathcal{F} of graphs, is there a single G∈FG \in \mathcal{F} with ex(n;G)≪Fex(n;F)\mathrm{ex}(n;G) \ll_{\mathcal{F}} \mathrm{ex}(n;\mathcal{F})? A counterexample refutes the Erdős-Simonovits compactness conjecture.

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