Akihiro Higashitani

most citedToric rings arising from cyclic polytopes

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

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math.AC2012★ 2 cited

Toric rings arising from cyclic polytopes

Takayuki Hibi, Akihiro Higashitani, Lukas Katth"an +1

In the present paper, we consider the problem when the toric ring arising from an integral cyclic polytope is Cohen-Macaulay by discussing Serre's condition and we give a complete…

math.AC2010★ 1 cited

Depth of edge rings arising from finite graphs

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1

Let $G$ be a finite graph and $K [G]$ the edge ring of $G$ . Based on the technique of Gröbner bases and initial ideals, it will be proved that, given integers $f$ and $d$ with $7 \l…