65 citations · 344 across the 51 of their papers we have counts for
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math.AC2008★ 16 cited
Unmixed bipartite graphs and sublattices of the Boolean lattices
Juergen Herzog, Takayuki Hibi, Hidefumi Ohsugi
The correspondence between unmixed bipartite graphs and sublattices of the oolean lattice is discussed. By using this correspondence, we show the existence of squarefree quadratic…
math.AC2008★ 4 cited
Simple polytopes arising from finite graphs
Hidefumi Ohsugi, Takayuki Hibi
Let be a finite graph allowing loops, having no multiple edge and no isolated vertex. We associate with the edge polytope and the toric ideal . By classif…
math.AC2008★ 12 cited
Groebner bases of nested configurations
Satoshi Aoki, Takayuki Hibi, Hidefumi Ohsugi +1
In this paper we introduce a new and large family of configurations whose toric ideals possess quadratic Groebner bases. As an application, a generalization of algebras of Segre-Ve…