Unbalanced Zarankiewicz problem for bipartite subdivisions with applications to incidence geometry

Lili Ködmön, Anqi Li, Ji Zeng

For a bipartite graph $H$, its linear threshold is the smallest real number $\sigma$ such that every bipartite graph $G=(U\bigsqcup V,E)$ with unbalanced parts $|V|\gtrsim |U{|}^{\sigma }$ and…