2 problems

Let $W_N=K_1\vee C_N$ be the wheel graph obtained by joining a single vertex to the cycle $C_N$, and let $\operatorname{NVol}(\nabla^{\operatorname{PQ}}_{W_N})$ denote the normaliz…

Let $G$ be an outerplane graph. For each connected component $G_i$ of $G$, let $B_{i,1},\dots,B_{i,b_i}$ be its blocks; let $\mathscr{F}(B_{i,j})$ denote the bounded faces of…