2 problems

Let $G$ and $G_0$ satisfy the assumptions of the theorem preceding this statement, and let $h_G(p)$ and $h_{G_0}(p)$ denote their monomer–dimer entropies at density $p$. Entropy ma…

Let $\{G_k=(V_k,E_k)\}_{k\in\mathbb{N}}$ be a sequence of $r$-regular bipartite graphs with $\#V_k\to\infty$. Let $h_{\{G_k\}}(p)$ denote the associated monomer–dimer entropy, and…