1 citations · 1 across the 4 of their papers we have counts for
6 papers
Depth stability of cover ideals
Mai Phuoc Binh, Nguyen Thu Hang, Truong Thi Hien +1
Let R = K[x1,...,xr] be a polynomial ring over a field K. Let G be a graph with vertex set {1,...,r} and let J be the cover ideal of G. We give a sharp bound for the stability inde…
Regularity of symbolic powers of square-free monomial ideals
Truong Thi Hien, Tran Nam Trung
We study the regularity of symbolic powers of square-free monomial ideals. We prove that if is the Stanley-Reisner ideal of a simplicial complex , then $\reg(I^{(n)})…
Stability of Associated Primes and Depth of Integral Closures of Powers of Edge Ideals
Dong Huu Mau, Tran Nam Trung
In this paper, we study associated primes and depth of integral closures of powers of edge ideals. We provide sharp bounds on how big of powers for which the set of associated prim…
Regularity of powers of cover ideals of unimodular hypergraphs
Nguyen Thu Hang, Tran Nam Trung
Let $\H$ be a unimodular hypergraph over the vertex set and let be the cover ideal of $\H$ in the polynomial ring . We show that $\reg J(\H)^s$ i…
Regularity of symbolic powers and Arboricity of matroids
Nguyen Cong Minh, Tran Nam Trung
Let be a simplicial complex of a matroid . In this paper, we explicitly compute the regularity of all the symbolic powers of a Stanley-Reisner ideal in terms of combin…
Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals
Do Trong Hoang, Nguyen Cong Minh, Tran Nam Trung
Let be the edge ideal of a simple graph . In this paper, we will give sufficient and necessary combinatorial conditions of in which the second symbolic and ordinary p…