Basic open semialgebraic cone conjecture for graphs (9) and (11)

Let $\mathcal{C}_{\mathcal{G}}$ denote the cone associated with a graph $\mathcal{G}$. A basic open semialgebraic set is an open semialgebraic set defined by finitely many strict polynomial inequalities. Basic open semialgebraic cone conjecture. The cones $\mathcal{C}_{\mathcal{G}}$ corresponding to the graphs (9) and (11) are basic open semialgebraic sets. If true, this would show that these cones do not meet their algebraic boundaries and that the maximum likelihood estimate does not exist for one observation on the corresponding graphs, resolving the indicated cases in the table.