3 problems

Smallest-exponent conjecture. The smallest positive integer $s$ such that

Let $\mathcal{M}=(G,In,Out,Leak)$ be a linear compartment model with input, output, and leak in compartment $1$ only, so that $In=Out=Leak=\{1\}$, and suppose that $G$ is a bidirec…

Catenary model conjecture. The displayed polynomial is the equation of the singular locus of the model. The paper notes that its structure suggests an induction on $n$, but the ind…