6 problems

Let $X$ denote the limiting random variable associated with the normalized maximum degree in Theorem 1.2, and let $D_1$ and $D_2$ be the constants appearing there. Maximum-degree l…

Let $\mathcal{T}$ be a $(\mu,f,\ell)$-RIF tree, and define … Assume that $\alpha=\infty$, and let $N_0(t,B)$ denote the number of degree-zero vertices present by time $t$ whose fit…

Let $\mathcal{T}$ be a $(\mu,f,\ell)$-RIF tree, and define … For $\alpha<\infty$, let $N_k(t,B)$ denote the number of degree-$k$ vertices present by time $t$ whose fitness lies in…

Let $m\in\mathbb{N}$, let $G_t$ be a graph in Regime $R2$, and let $\mathbf{\deg}_t$ be its empirical degree distribution. Let $\mathbf{\deg}_t^{BB(m)}$ be the empirical degree distr…

Expected second-degree distribution conjecture. For

For each integer $k\geq 1$, let $Z^{(k)}_n$ denote the proportion of vertices of degree $k$ in a uniformly random planar graph with $n$ vertices. Limiting degree-distribution conje…