3 problems

A conservative reaction network is a chemical reaction network in which each species occurs in at least one nonnegative conservation law. Let the mixed-volume bound be the upper bo…

Let $G=(B,E)$ be a graph with $B=\{0,1,\dots,|B|-1\}$, and let $P_{G,Y}$ be the system of $2n$ algebraic load flow equations in the variables $(v_1,\dots,v_n,u_1,\dots,u_n)$, where…

Let $\Sigma_1,\ldots,\Sigma_m$ be an essential collection of integer polyhedra in $\mathbb{R}^m$, and let their mixed volume be $1/m!$, the minimal possible value. Minimal mixed-vo…