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Erdős problem 146

If HH is bipartite and rr-degenerate, is ex(n;H)n21/r\mathrm{ex}(n;H) \ll n^{2-1/r} (a $500 Erdős-Simonovits prize conjecture)? A counterexample refutes the degeneracy conjecture.

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If $H$ is bipartite and $r$-degenerate, is $\mathrm{ex}(n;H) \ll n^{2-1/r}$ (a \$500 Erdős-Simonovits prize conjecture)? A counterexample refutes the degeneracy conjecture.

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