Stable value of depth of symbolic powers of edge ideals of graphs

Nguyen Cong Minh, Tran Nam Trung, Thanh Vu

Let $G$ be a simple graph on $n$ vertices. We introduce the notion of bipartite connectivity of $G$, denoted by $\mathrm{bc}(G)$ and prove that $$\lim_{s \to \infty} \operato…