3 papers
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
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 of the weighted edge ideal when the underlying graph 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.