63 citations · 321 across the 78 of their papers we have counts for
7 papers · 1 filter
An upper bound for the regularity of powers of edge ideals
Jürgen Herzog, Takayuki Hibi
For a finite simple graph we give an upper bound for the regularity of the powers of the edge ideal .
Almost symmetric numerical semigroups
Jürgen Herzog, Kei-ichi Watanabe
We study almost symmetric numerical semigroups and semigroup rings. We describe a characteristic property of the minimal free resolution of the semigroup ring of an almost symmetri…
t-spread strongly stable monomial ideals
Viviana Ene, Jürgen Herzog, Ayesha Asloob Qureshi
We introduce the concept of -spread monomials and -spread strongly stable ideals. These concepts are a natural generalization of strongly stable and squarefree strongly stabl…
On the Gauss algebra of toric algebras
Jürgen Herzog, Raheleh Jafari, Abbas Nasrollah Nejad
Let be a -subalgebra of the polynomial ring of dimension , generated by finitely many monomials of degree . Then the Gauss algebra $\GG(A)$ of $A…
Cohen-Macaulay criteria for projective monomial curves via Gröbner bases
Jürgen Herzog, Dumitru I. Stamate
We prove new characterizations based on Gröbner bases for the Cohen-Macaulay property of a projective monomial curve.
On the extremal Betti numbers of binomial edge ideals of block graphs
Juergen Herzog, Giancarlo Rinaldo
We compute one of the distinguished extremal Betti number of the binomial edge ideal of a block graph, and classify all block graphs admitting precisely one extremal Betti number.