Jiaxin Li

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20232026

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11 papers · 1 filter

math.AC2026

Depth of powers of the edge ideal of an increasing weighted path

Jiaxin Li, Dancheng Lu, Thanh Vu +1

We provide exact formulas for the depth of the quotient ring of powers of the edge ideal of an increasing weighted path.

math.AC2025

Depth of powers of integrally closed edge ideals of edge-weighted paths

Jiaxin Li, Thanh Vu, Guangjun Zhu

We compute the depth of powers of edge ideals of integrally closed edge-weighted paths.

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 $G_{ω}$ , we obtain an asymptotic value and a sharp bound on the index stability of the depth function of its edge ideal $I (G_{ω})$ . Moreover, if $G_{ω}$ i…

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 $I (G_{ω})^{2}$ of the weighted edge ideal $I (G_{ω})$ when the underlying graph $G$ is a very well-covered graph.…

math.AC2025

Depth of powers of edge ideals of edge-weighted integrally closed cycles

Guangjun Zhu, Jiaxin Li, Yijun Cui +1

This paper gives some exact formulas for the depth of powers of the edge ideal of an edge-weighted integrally closed cycle.

math.AC2024

Regularity of powers of edge ideals of edge-weighted integrally closed cycles

Guangjun Zhu, Yijun Cui, Jiaxin Li +1

This paper gives exact formulas for the regularity of powers of edge ideals of an edge-weighted integrally closed cycle.

math.AC2024

Powers of edge ideals of edge-weighted trees

Jiaxin Li, Guangjun Zhu, Shiya Duan

This paper gives exact formulas for the regularity of edge ideals of edge-weighted integrally closed trees. In addition, we provide some linear upper bounds on the regularity of po…

math.AC2024

Edge ideals of some edge-weighted graphs

Guangjun Zhu, Shiya Duan, Yijun Cui +1

This paper presents exact formulas for the regularity and depth of powers of edge ideals of an edge-weighted star graph. Additionally, we provide exact formulas for the regularity…

math.AC2023

Integral closure and normality of edge ideals of some edge-weighted graphs

Shiya Duan, Guangjun Zhu, Yijun Cui +1

Let $G_{ω}$ be an edge-weighted simple graph. In this paper, we give a complete characterization of the graph $G_{ω}$ whose edge ideal $I (G_{ω})$ is integrally closed. We also show that…