T. D. Dung

collaborators

3 papers

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.AC2025

The vertex covers, Betti numbers and projective dimensions of perfect binary trees

Nguyen Thu Hang, Tran Duc Dung, Do Van Kien

Let $T$ be a perfect binary tree and $I$ be its edge ideal in the polynomial ring $S$ . We determine the vertex cover number, independent number, and establish the recursive formula…