N. Minh

activity

20132026

most citedStable value of depth of symbolic powers of edge ideals of graphs

4 citations · 8 across the 8 of their papers we have counts for

collaborators

9 papers

math.AC2026

v-numbers of symbolic-ordinary discrepancy modules

Manohar Kumar, Nguyen Cong Minh, N. C. Minh +1

In this paper, we study the $v$ -number of the symbolic-ordinary discrepancy modules $M_{t} (I) = I^{(t)} / I^{t}$ over standard graded Noetherian rings. We show that this coincide…

math.AC2023

The sequentially Cohen-Macaulay property of edge ideals of edge-weighted graphs

Ly Thi Kieu Diem, Nguyen Cong Minh, Thanh Vu

Let $I (G_{w})$ be the edge ideal of an edge-weighted graph $(G, w)$ . We prove that $I (G_{w})$ is sequentially Cohen-Macaulay for all weight functions $w$ …

math.AC2023★ 4 cited

Stable value of depth of symbolic powers of edge ideals of graphs

Nguyen Cong Minh, Tran Nam Trung, Thanh Vu

Let $G$ be a simple graph on $n$ vertices. We introduce the notion of bipartite connectivity of $G$ , denoted by $bc (G)$ and prove that $$\lim_{s \to \infty} \operato…

math.AC2023★ 2 cited

Depth of powers of edge ideals of cycles and trees

Nguyen Cong Minh, Tran Nam Trung, Thanh Vu

Let $I$ be the edge ideal of a cycle of length $n \geq 5$ over a polynomial ring $S = k [x_{1}, \dots, x_{n}]$ . We prove that for $2 \leq t < ⌈(n + 1) /2 ⌉$ , $$\operatorna…

math.AC2022★ 1 cited

Characterization of graphs whose a small power of their edge ideals has a linear free resolution

Nguyen Cong Minh, Thanh Vu

Let $I (G)$ be the edge ideal of a simple graph $G$ . We prove that $I (G)^{2}$ has a linear free resolution if and only if $G$ is gap-free and reg $I (G) \leq 3$ . Similarly, we show that…

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…