Open Neighborhood Ideals of Well-Totally Dominated Trees are Cohen-Macaulay

Jounglag Lim, James Gossell, Keri Ann Sather-Wagstaff

We introduce and investigate the open neighborhood ideal $\mathcal{N}(G)$ of a finite simple graph $G$. We describe the minimal primary decomposition of $\mathcal{N}(G)$ in terms o…