2 citations · 4 across the 6 of their papers we have counts for
6 papers
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-Macaulay oriented graphs with large girth
Le Xuan Dung, Tran Nam Trung
We classify the Cohen-Macaulay weighted oriented graphs whose underlying graphs have girth at least .
Depth of powers of edge ideals of cycles and trees
Nguyen Cong Minh, Tran Nam Trung, Thanh Vu
Let be the edge ideal of a cycle of length over a polynomial ring . We prove that for , $$\operatorna…
Coverings, Matchings and the number of maximal independent sets of graphs
Do Trong Hoang, Tran Nam Trung
We determine the maximum number of maximal independent sets of arbitrary graphs in terms of their covering numbers and we completely characterize the extremal graphs. As an applica…