A. Shikama

activity

20132016

most citedMany toric ideals generated by quadratic binomials possess no quadratic Gröbner bases

5 citations · 17 across the 13 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.AC2013

A Koszul filtration for the second squarefree Veronese subring

Takayuki Hibi, Ayesha Asloob Qureshi, Akihiro Shikama

The second squarefree Veronese subring in $n$ variables is the edge ring of the complete graph with $n$ vertices. It is proved that every second squarefree Veronese subring possess…

math.CO2013★ 4 cited

The number of edges of the edge polytope of a finite simple graph

Takayuki Hibi, Aki Mori, Hidefumi Ohsugi +1

Let $d \geq 3$ be an integer. It is known that the number of edges of the edge polytope of the complete graph with $d$ vertices is $d (d - 1) (d - 2) /2$ . In this paper, we study the maxi…

math.AC2013★ 5 cited

Many toric ideals generated by quadratic binomials possess no quadratic Gröbner bases

Takayuki Hibi, Kenta Nishiyama, Hidefumi Ohsugi +1

Let $G$ be a finite connected simple graph and $I_{G}$ the toric ideal of the edge ring $K [G]$ of $G$ . In the present paper, we study finite graphs $G$ with the property that $I_{G…