On powers of the cover ideals of graphs

Dancheng Lu, Zexin Wang

For a simple graph $G$, assume that $J(G)$ is the vertex cover ideal of $G$ and $J(G{)}^{(s)}$ is the $s$-th symbolic power of $J(G)$. We prove that $(J(C{)}^{(s)})=(J(C{)}^s)$ for all $…