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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…