most citedDepth of edge rings arising from finite graphs

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2011

Depth of initial ideals of normal edge rings

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1

Let be a finite graph on the vertex set with the edges and $K[\tb] = K[t_1, ..., t_d]$ the polynomial ring in variables over a field…

math.AC2010★ 1 cited

Depth of edge rings arising from finite graphs

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1

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

math.CO2010

Hermite normal forms and -vector

Takayuki Hibi, Akihiro Higashitani, Nan Li

Let $δ(\Pc) = (δ_0, δ_1,..., δ_d)$ be the -vector of an integral polytope $\Pc \subset \RR^N$ of dimension . Following the previous work of characterizing the -vectors wit…