65 citations · 613 across the 138 of their papers we have counts for
4 papers · 1 filter
Componentwise linear ideals with minimal or maximal Betti numbers
Juergen Herzog, Takayuki Hibi, Satoshi Murai +1
We characterize componentwise linear monomial ideals with minimal Taylor resolution and consider the lower bound for the Betti numbers of componentwise linear ideals.
The depth of an ideal with a given Hilbert function
Satoshi Murai, Takayuki Hibi
Let denote the polynomial ring in variables over a field with each . Let be a homogeneous ideal of with and the…
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…