3 problems

Minor-closed lower-bound conjecture. There exists a constant $c$ such that, for every real $d_0>0$, there exists a real $d\geq d_0$ and a proper minor-closed class with maximum ave…

Complete-minor-free girth conjecture.

Polynomial-expansion lower-bound conjecture. For every real $b>0$, there exists a graph class with expansion $O(r^b)$ such that for infinitely many $p\in\mathbb N$ the class contai…