Erdős problem 146
If is bipartite and -degenerate, is (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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