N. Minh

activity

20132021

most citedIntegral closure of small powers of edge ideals and their regularity

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.AC2021★ 1 cited

Integral closure of small powers of edge ideals and their regularity

Nguyen Cong Minh, Thanh Vu

Let $I (G)$ be the edge ideal of a simple graph $G$ over a field k. We prove that $reg (I (G)^{s}) = reg (I (G)^{s}),$ for all $s \leq 4$ . Furthermore, we provide a…

math.AC2021

Regularity of powers of Stanley-Reisner ideals of one-dimensional simplicial complexes

Nguyen Cong Minh, Thanh Vu

Let $Δ$ be a one-dimensional simplicial complex. Let $I_{Δ}$ be the Stanley-Reisner ideal of $Δ$ . We prove that for all $s \geq 1$ and all intermediate ideals $J$ generated by $I_{Δ}^{s}$ …

math.AC2017

Regularity of symbolic powers and Arboricity of matroids

Nguyen Cong Minh, Tran Nam Trung

Let $Δ$ be a simplicial complex of a matroid $M$ . In this paper, we explicitly compute the regularity of all the symbolic powers of a Stanley-Reisner ideal $I_{Δ}$ in terms of combin…

math.AC2013

Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals

Do Trong Hoang, Nguyen Cong Minh, Tran Nam Trung

Let $I (G)$ be the edge ideal of a simple graph $G$ . In this paper, we will give sufficient and necessary combinatorial conditions of $G$ in which the second symbolic and ordinary p…