4 papers
Hilbert-Poincaré series of parity binomial edge ideals and permanental ideals of complete graph
Do Trong Hoang, Thomas Kahle
We give an explicit formula for the Hilbert-Poincaré series of the parity binomial edge ideal of a complete graph or equivalently for the ideal generated by all …
On the Betti numbers of edge ideal of skew Ferrers graphs
Do Trong Hoang
We prove that for skew Ferrers graph , where $p:=\pd(I(G))$ and $r:=\reg(I(G))$. As a consequence, we confirm that Ene, Herzog and Hibi's conjectur…
On the extremal Betti numbers of the binomial edge ideal of closed graphs
Hernán de Alba, Do Trong Hoang
We study the equality of the extremal Betti numbers of the binomial edge ideal and those of its initial ideal of a closed graph . We prove that in some cas…
Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals
Do Trong Hoang, Nguyen Cong Minh, Tran Nam Trung
Let be the edge ideal of a simple graph . In this paper, we will give sufficient and necessary combinatorial conditions of in which the second symbolic and ordinary p…