Cohen-Macaulay-ness in codimension for bipartite graphs

Hassan Haghighi, Siamak Yassemi, Rahim Zaare-Nahandi

Let $G$ be an unmixed bipartite graph of dimension $d-1$. Assume that $K_{n,n}$, with $n\ge 2$, is a maximal complete bipartite subgraph of $G$ of minimum dimension. Then $G$ is Co…