27 citations · 30 across the 9 of their papers we have counts for
11 papers
Invariant chains of graphs
Do Trong Hoang, Mitra Koley, Dinh Van Le
We initiate a systematic study of Inc-invariant chains of graphs, the combinatorial counterparts of Inc-invariant chains of edge ideals arising in the theory of equivariant Noether…
Restricted projections in positive characteristic via Fourier extension and restriction estimates
Le Quang Ham, Do Trong Hoang, Le Quang Hung +2
Let and be the -dimensional vector space over a finite field of order , where is an odd prime power. Let be the set of lines through th…
Asymptotic depth of invariant chains of edge ideals
Tran Quang Hoa, Do Trong Hoang, Dinh Van Le +2
We completely determine the asymptotic depth, equivalently, the asymptotic projective dimension of a chain of edge ideals that is invariant under the action of the monoid Inc of in…
Asymptotic regularity of invariant chains of edge ideals
Do Trong Hoang, Hop D. Nguyen, Quang Hoa Tran
We study chains of nonzero edge ideals that are invariant under the action of the monoid of increasing functions on the positive integers. We prove that the sequence…
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…
Buchsbaumness of the second powers of edge ideals
Do Trong Hoang, Tran Nam Trung
We graph-theoretically characterize the class of graphs such that are Buchsbaum.
A Characterization of Triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals
Do Trong Hoang, Tran Nam Trung
We graph-theoretically characterize triangle-free Gorenstein graphs . As an application, we classify when is Cohen-Macaulay.
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…
Cohen-Macaulay graphs with large girth
Dô Trong Hoang, Nguyên Cong Minh, Trân Nam Trung
We classify Cohen-Macaulay graphs of girth at least and planar Gorenstein graphs of girth at least . Moreover, such graphs are also vertex decomposable.