Strong counterexamples to a supersaturation question of Ma-Yuan

Wanfang Chen, Long-Tu Yuan

For a graph $F$, let $h_F(n,q)$ be the minimum number of copies of $F$ in an $n$-vertex graph with $\mathrm{ex}(n,F)+q$ edges, where $\mathrm{ex}(n,F)$ is the maximum number of edg…