A finite forbidden family with superlinear surplus and no three-factor product extremizers

Chuandong Xu

We construct a fixed finite family $\mathcal{L}$ of ordinary forbidden subgraphs with $p(\mathcal{L})=3$ and a constant $c>0$ such that $$ex(n,\mathcal{L})>t_3(n)+c{n}^{3/2}$$ at every…