The conjectured bipartite minimum-degree threshold $d_{r,r}$

Let $d_{r,r}$ denote the parameter defined in the paper’s bipartite minimum-degree theorem, and let $r$ be a positive integer. Bipartite minimum-degree threshold conjecture. We have

$$d_{r,r}=\left\lceil\frac{3r+1}{4}\right\rceil.$$

This conjecture predicts the exact bipartite minimum-degree threshold and is presented as a desired improvement of the paper’s estimates; its resolution is not supplied in the source.