22 citations · 58 across the 13 of their papers we have counts for
13 papers
Skeletons of monomial ideals
Juergen Herzog, Ali Soleyman Jahan, Xinxian Zheng
In analogy to the skeletons of a simplicial complex and their Stanley--Reisner ideals we introduce the skeletons of an arbitrary monomial ideal . This al…
How to compute the Stanley depth of a monomial ideal
Jürgen Herzog, Marius Vladoiu, Xinxian Zheng
Let be monomial ideals. We show that the Stanley depth of can be computed in a finite number of steps. We also introduce the $\fdepth$ of a monomial ideal which…
Pretty clean monomial ideals and linear quotients
Ali Soleyman Jahan, Xinxian Zheng
We study basic properties of monomial ideals with linear quotients. It is shown that if the monomial ideal has linear quotients, then the squarefree part of and each compon…
Bounds for Hilbert coefficients
Juergen Herzog, Xinxian Zheng
We compute the Hilbert coefficients of a graded module with pure resolution and discuss lower and upper bounds for these coefficients for arbitrary graded modules.
Standard graded vertex cover algebras, cycles and leaves
Juergen Herzog, Takayuki Hibi, Ngo Viet Trung +1
The aim of this paper is to characterize simplicial complexes which have standard graded vertex cover algebras. This property has several nice consequences for the squarefree monom…
Kruskal--Katona type theorems for clique complexes arising from chordal and strongly chordal graphs
Juergen Herzog, Takayuki Hibi, Satoshi Murai +2
A forest is the clique complex of a strongly chordal graph and a quasi-forest is the clique complex of a chordal graph. Kruskal--Katona type theorems for forests, quasi-forests, pu…