4 problems

The preferential attachment large-parameter conjecture. As the parameter tends to infinity,

The inhomogeneous Erdős–Rényi significance conjecture. The friendship paradox is significant for every $f\in\mathcal F$ and every $\lambda\in(0,\infty)$:

The homogeneous Erdős–Rényi significance conjecture. The friendship paradox is significant for every $\lambda\in(0,\infty)$:

The friendship paradox inequality.