On the Betti numbers of edge ideal of skew Ferrers graphs

Do Trong Hoang

We prove that ${\beta }_p(I(G))={\beta }_{p,p+r}(I(G))$ for skew Ferrers graph $G$, where $p:=\pd(I(G))$ and $r:=\reg(I(G))$. As a consequence, we confirm that Ene, Herzog and Hibi's conjectur…