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20232026
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4 papers · 1 filter

math.AC2024

Normal edge ideals of edge-weighted graphs

Thanh Vu, Guangjun Zhu

We classify all normal edge ideals of edge-weighted graphs.

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

Regularity of integral closures of edge ideals of weighted oriented graphs

Nguyen Cong Minh, Thanh Vu, Guangjun Zhu

We prove that the regularity cannot increase when taking the integral closure for edge ideals of arbitrary weighted oriented graphs.

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…