A proof of the rational exponents conjecture

David Conlon, Oliver Janzer, Tao Jiang +5

The rational exponents conjecture of Erdős and Simonovits asserts that for every rational $r\in [1,2]$ there exists a graph $H$ such that $\mathrm{ex}(n,H)=\Theta (n^r)$. We present a pr…