Nguyen Thu Hang

collaborators

7 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

Critical subgraphs and the regularity of symbolic powers of cover ideals of graphs

Nguyen Thu Hang, Thanh Vu

Let $G$ be a simple graph. We demonstrate a method for using $t$ -admissible subgraphs of $G$ to determine the regularity of the $t$ -th symbolic power of the cover ideal of $G$ . As…

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

The depth function of powers of cover ideals of path graphs

Tran Duc Dung, Nguyen Thu Hang, Pham Hong Nam +1

Let $G = P_{n}$ be a path graph with cover ideal $J (P_{n})$ . By using Hochster's depth formula, we prove the explicit formulae to compute the depth functions of powers of cover ideals of…

math.AC2024

Regularity of Powers and symbolic powers of edge ideals of cubic circulant graphs

Nguyen Thu Hang, My Hanh Pham, Thanh Vu

We compute the regularity of powers and symbolic powers of edge ideals of all cubic circulant graphs. In particular, we establish Conjecture of Minh for cubic circulant graphs.