2 problems

Let $G$ be a directed acyclic graph (DAG), with vanishing ideal $I_G$ and shortest trek ideal $ST_G$. Shortest-trek characterization conjecture. The vanishing ideal $I_G$ is toric…

Let $G_1$ and $G_2$ be directed acyclic graphs (DAGs), and let $I_{G_i}$ be their vanishing ideals and $ST_{G_i}$ their shortest trek ideals. Suppose that $I_{G_1}=ST_{G_1}$ and…