T. N. Trung

collaborators

4 papers

math.AC2025

Depth and regularity of powers of edge ideals of edge-weighted trees

Truong Thi Hien, Jiaxin Li, Tran Nam Trung +1

For an increasing weighted tree $G_{I ¨} $ , we obtain an asymptotic value and a sharp bound on the index stability of the depth function of its edge ideal $I (G_{I ¨} )$ . Moreover, if $G_Ï…

math.AC2025

Cohen-Macaulayness of Powers of Edge Ideals of Weighted Oriented Graphs

Truong Thi Hien, Jiaxin Li, Tran Nam Trung +1

For the edge ideal $I(\D)$ of a weighted oriented graph $\D$, we prove that its symbolic powers $I(\D)^{(t)}$ are Cohen-Macaulay for all $t ⩾ 1$ if and only if the underlyin…

math.AC2025

Associated primes of powers of edge ideals of edge-weighted trees

Jiaxin Li, Tran Nam Trung, Guangjun Zhu

In this paper, we give a complete description of the associated primes of each power of the edge ideal of an increasing weighted tree.

math.AC2025

Cohen-Macaulayness of powers of edge ideals of edge-weighted graphs

Jiaxin Li, Tran Nam Trung, Guangjun Zhu

In this paper, we characterize the Cohen-Macaulayness of the second power $I (G_{I ¨} )^{2}$ of the weighted edge ideal $I (G_{I ¨} )$ when the underlying graph $G$ is a very well-covered grap…