Jiaxin Li

collaborators

4 papers

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…