Thanh Vu

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

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 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.AC2021★ 1 cited

Comparision between regularity of small symbolic powers and ordinary powers of an edge ideal

Nguyen Cong Minh, Le Dinh Nam, Thieu Dinh Phong +2

Let $G$ be a simple graph and $I$ its edge ideal. We prove that $reg (I^{(s)}) = reg (I^{s})$ for $s = 2, 3$ , where $I^{(s)}$ is the $s$ -th symbolic power of $I$ . As a con…