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20092023
most citedArithmetic aspects of symmetric edge polytopes

30 citations · 184 across the 67 of their papers we have counts for

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Showing 2010 · math.COShow all

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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…

math.CO2010★ 27 cited

Roots of Ehrhart polynomials arising from graphs

Tetsushi Matsui, Akihiro Higashitani, Yuuki Nagazawa +2

Several polytopes arise from finite graphs. For edge and symmetric edge polytopes, in particular, exhaustive computation of the Ehrhart polynomials not merely supports the conjectu…

math.CO2010★ 7 cited

Roots of Ehrhart polynomials of Gorenstein Fano polytopes

Takayuki Hibi, Akihiro Higashitani, Hidefumi Ohsugi

Given arbitrary integers and with , we construct a Gorenstein Fano polytope $\Pc \subset \RR^d$ of dimension such that (i) its Ehrhart polynomial $i(\…