Hang Nguyen

activity

20232026

collaborators

6 papers

math.GT2026

$Z_{p}$ -folded surfaces and the $Z_{p}$ -Thurston norm

William Hobkirk

$Z_{p}$ -folded surfaces are a class of oriented folded surfaces with a fundamental $H_{2} (Z / p Z)$ class. In this paper we study the $Z_{p}$ -folded surf…

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

Projective dimension and regularity of 3-path ideals of unicyclic graphs

Nguyen Thu Hang, Thanh Vu

We compute the projective dimension and regularity of $3$ -path ideals of arbitrary graphs with at most one cycle.

math.AC2023

Depth of powers of edge ideals of Cohen-Macaulay trees

Nguyen Thu Hang, Truong Thi Hien, Thanh Vu

Let $I$ be the edge ideal of a Cohen-Macaulay tree of dimension $d$ over a polynomial ring $S = k [x_{1}, \dots, x_{d}, y_{1}, \dots, y_{d}]$ . We prove that for all $t \geq 1$ , $$\op…

Zp​-folded surfaces and the Zp​-Thurston norm

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

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

The depth function of powers of cover ideals of path graphs

Projective dimension and regularity of 3-path ideals of unicyclic graphs

Depth of powers of edge ideals of Cohen-Macaulay trees

$Z_{p}$ -folded surfaces and the $Z_{p}$ -Thurston norm