4 citations · 7 across the 10 of their papers we have counts for
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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 , we obtain an asymptotic value and a sharp bound on the index stability of the depth function of its edge ideal . Moreover, if i…
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 if and only if the underlyin…
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.
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.…