On the depth of binomial edge ideals of graphs

Mohammad Rouzbahani Malayeri, Sara Saeedi Madani, Dariush Kiani

Let $G$ be a graph on the vertex set $[n]$ and $J_G$ the associated binomial edge ideal in the polynomial ring $S=\mathbb{K}[x_1,\dots ,x_n,y_1,\dots ,y_n]$. In this paper we inves…