2 citations · 2 across the 7 of their papers we have counts for
7 papers
Relative Hochster--Takayama formula and Cohen--Macaulay monomial ideal quotients
Tai Huy Ha, Nguyen Cong Minh
Hochster's and Takayama's formulas describes the multigraded components of local cohomology modules of monomial ideals in terms of simplicial complexes. In this paper, we develop a…
Extremal Betti numbers of certain two-dimensional monomial ideals
Nguyen Quang Loc, Nguyen Cong Minh, Phan Thi Thuy
In this paper, we shall provide explicit formulas for the extremal Betti numbers of , where is the defining ideal of certain weighted hyperplanes in and $R…
Regularity of integral closures of edge ideals of weighted oriented graphs
Nguyen Cong Minh, Thanh Vu, Guangjun Zhu
We prove that the regularity cannot increase when taking the integral closure for edge ideals of arbitrary weighted oriented graphs.
Cohen-Macaulay graphs with large girth
Dô Trong Hoang, Nguyên Cong Minh, Trân Nam Trung
We classify Cohen-Macaulay graphs of girth at least and planar Gorenstein graphs of girth at least . Moreover, such graphs are also vertex decomposable.
Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals
Nguyen Cong Minh, Ngo Viet Trung
Two-dimensional squarefree monomial ideals can be seen as the Stanley-Reisner ideals of graphs. The main results of this paper are combinatorial characterizations for the Cohen-Mac…
Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals
Nguyen Cong Minh, Ngo Viet Trung
We present criteria for the Cohen-Macaulayness of a monomial ideal in terms of its primary decomposition. These criteria allow us to use tools of graph theory and of linear program…
On the regularity of products and intersections of complete intersections
Marc Chardin, Nguyen Cong Minh, Ngo Viet Trung
This paper proves that the Castelnuovo-Mumford regularities of the product and sum of two monomial complete intersection ideals are at most the sum of the regularities of the two i…