Thanh Vu

collaborators

5 papers

math.AC2026

V-numbers of powers of cover ideals of unimodular hypergraphs

Nguyen Thu Hang, Thanh Vu

Let $H$ be a unimodular hypergraph with cover ideal $J (H)$ . We prove that the local $v$ -numbers of $J (H)^{t}$ are linear in $t$ for all $t \geq 1$ . We further show that the global $v$ -n…

math.AC2026

Ordered alternating paths and the depth of symbolic powers of cover ideals of graphs

Nguyen Thu Hang, Nguyen Thi Thanh Tam, Thanh Vu

Let $G$ be a simple graph with cover ideal $J (G)$ in a polynomial ring $S$ in $∣ V (G) ∣$ variables. For a matching $M$ of $G$ , we denote by $ℓ (M)$ the length of the longest $M$ -al…

math.AC2026

Admissible subgraphs and the depth of symbolic powers of cover ideals of graphs

Tran Duc Dung, Nguyen Thu Hang, Thanh Vu

Let $G$ be a simple graph. We introduce the notion of $t$ -admissible subgraphs of $G$ and show how to use them to compute the depth of the $t$ -th symbolic powers of the cover ideal…

math.AC2026

Depth of powers of the edge ideal of an increasing weighted path

Jiaxin Li, Dancheng Lu, Thanh Vu +1

We provide exact formulas for the depth of the quotient ring of powers of the edge ideal of an increasing weighted path.

math.AC2024

Multiplicity of powers of squarefree monomial ideals

Phan Thi Thuy, Thanh Vu

Let $I$ be an arbitrary nonzero squarefree monomial ideal of dimension $d$ in a polynomial ring $S = k [x_{1}, \dots, x_{n}]$ . Let $I^¼$ be the number of associated primes of $S/…