5 papers
Stabilization index of V-number of powers of edge ideals of graphs
Ha Thi Thu Hien, Thanh Vu
We provide a combinatorial description of the stabilization index of the -function of powers of edge ideals for arbitrary graphs.
Associated primes of powers of closed neighborhood ideals and diameters of graphs
Ha Thi Thu Hien, Thanh Vu
Let be a simple connected graph and an integer. We prove that if the maximal homogeneous ideal is an associated prime of the th power of the closed neighborhood id…
Associated primes of the second power of closed neighborhood ideals of graphs
Ha Thi Thu Hien, Thanh Vu
We study simple graphs for which the maximal homogeneous ideal is an associated prime of the second power of their closed neighborhood ideals. In particular, we show that such grap…
Decreasing behavior of the depth functions of edge ideals
Ha Thi Thu Hien, Ha Minh Lam, Ngo Viet Trung
Let be the edge ideal of a connected non-bipartite graph and the base polynomial ring. Then and for $t \gg…
Saturation and associated primes of powers of edge ideals
Ha Thi Thu Hien, Ha Minh Lam, Ngo Viet Trung
For the edge ideal I of an arbitrary simple graph G we describe the monomials of the saturation of a power of I in terms of (vertex) weighted graphs associated with the monomials.…