Regularity, depth and Serre depth of symbolic powers of complementary edge ideals

Let $G$ be a finite simple graph and let $I_c(G)$ denote its complementary edge ideal. In this paper, we study the Castelnuovo-Mumford regularity, the depth and Serre depth for $(S_{2})$ of the symbolic powers of $I_c(G)$. We derive explicit formulas for $\operatorname{reg} I_c(G)^{(k)}$ and $\opera