Jürgen Herzog

most citedOn the ideal of orthogonal representations of a graph in

R^{2}

3 citations · 7 across the 3 of their papers we have counts for

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math.AC2014★ 2 cited

The face ideal of a simplicial complex

Jürgen Herzog, Takayuki Hibi

Given a simplicial complex we associate to it a squarefree monomial ideal which we call the face ideal of the simplicial complex, and show that it has linear quotients. It turns ou…

math.AC2014★ 3 cited

On the ideal of orthogonal representations of a graph in $R^{2}$

Jürgen Herzog, Antonio Macchia, Sara Saeedi Madani +1

In this paper, we study orthogonal representations of simple graphs $G$ in $R^{d}$ from an algebraic perspective in case $d = 2$ . Orthogonal representations of graphs, intro…

math.AC2012★ 2 cited

Monomial localizations and polymatroidal ideals

Somayeh Bandari, Jürgen Herzog

In this paper we consider monomial localizations of monomial ideals and conjecture that a monomial ideal is polymatroidal if and only if all its monomial localizations have a linea…

The face ideal of a simplicial complex

On the ideal of orthogonal representations of a graph in R2

Monomial localizations and polymatroidal ideals

On the ideal of orthogonal representations of a graph in $R^{2}$