Hang Nguyen

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20232026

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5 papers · 1 filter

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…