Square-free powers of Cohen-Macaulay forests, cycles, and whiskered cycles

Kanoy Kumar Das, Amit Roy, Kamalesh Saha

Let $I(G{)}^{[k]}$ denote the $k^{th}$ square-free power of the edge ideal $I(G)$ of a graph $G$. In this article, we provide a precise formula for the depth of $I(G{)}^{[k]}$ when $G$…