22 citations · 40 across the 7 of their papers we have counts for
7 papers
Notes on the multiplicity conjecture
Juergen Herzog, Xinxian Zheng
New cases of the multiplicity conjecture are considered.
Cohen-Macaulay chordal graphs
Juergen Herzog, Takayuki Hibi, Xinxian Zheng
We classify all Cohen-Macaulay chordal graphs. In particular. it is shown that a chordal graph is Cohen-Macaulay if and only if its unmixed.
Monomial ideals arising from distributive lattices
Xinxian Zheng
The free resolution and the Alexander dual of squarefree monomial ideals associated with certain subsets of distributive lattices are studied.
The monomial ideal of a finite meet-semilattice
Juergen Herzog, Takayuki Hibi, Xinxian Zheng
Squarefree monomial ideals arising from finite meet-semilattices and their free resolutions are studied. For the squarefree monomial ideals corresponding to poset ideals in a distr…
Resolutions of facet ideals
Xinxian Zheng
In this paper we study the resolution of a facet ideal associated with a special class of simplicial complexes introduced by S. Faridi. These simplicial complexes are called trees,…
Dirac's theorem on chordal graphs and Alexander duality
Jürgen Herzog, Takayuki Hibi, Xinxian Zheng
By using Alexander duality on simplicial complexes we give a new and algebraic proof of Dirac's theorem on chordal graphs.