activity
20142023
most citedAssociated primes of powers of edge ideals and ear decompositions of graphs

19 citations · 20 across the 5 of their papers we have counts for

collaborators

6 papers

math.AG2023

Lojasiewicz inequalities in a certain class of smooth functions

Ha Minh Lam, Ha Huy Vui

Let be a germ of a smooth function at the orirgin in $\RR^n.$ We show that if is Kouchnirenko's nondegenerate and satisfies the so called Kamimoto--Nose condition then it a…

math.AC2023

A general formula for the index of depth stability of edge ideals

Ha Minh Lam, Ngo Viet Trung, Tran Nam Trung

By a classical result of Brodmann, the function is asymptotically a constant, i.e. there is a number such that $\operatorname{depth} R/I^t = \opera…

math.AC2023

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…

math.AC2015★ 19 cited

Associated primes of powers of edge ideals and ear decompositions of graphs

Ha Minh Lam, Ngo Viet Trung

In this paper, we give a complete description of the associated primes of every power of the edge ideal in terms of generalized ear decompositions of the graph. This result establi…

math.AC2015★ 1 cited

Combinatorial characterizations of the saturation and the associated primes of the fourth power of edge ideals

Ha Minh Lam, Ha Thi Thu Hien

To compute the local cohomology of powers of edge ideals one needs to know their saturations. The saturation of the second and third powers has been described in terms of the graph…

math.AC2014

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.…