A. Higashitani

activity

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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3 papers · 1 filter

math.CO2009

Shifted symmetric $δ$ -vectors of convex polytopes

Akihiro Higashitani

A $δ$ -vector $δ(\Pc)= (δ_0, δ_1, ..., δ_d)$ is called shifted symmetric if $δ_{d - i} = δ_{i + 1}$ for each $0 \leq i \leq [(d - 1) /2]$ . A natural family of $(0, 1)$ -polytopes with shifte…

math.CO2009

Smooth Fano polytopes arising from finite partially ordered sets

Takayuki Hibi, Akihiro Higashitani

Gorenstein Fano polytopes arising from finite partially ordered sets will be introduced. Then we study the problem which partially ordered sets yield smooth Fano polytopes.

math.CO2009

Ehrhart polynomials of convex polytopes with small volumes

Takayuki Hibi, Akihiro Higashitani, Yuuki Nagazawa

We classify all the possible $d e l t a$ -vectors of d-dimensional integral convex polytopes whose volumes are less than or equal to 3/(d!).

Shifted symmetric δ-vectors of convex polytopes

Smooth Fano polytopes arising from finite partially ordered sets

Ehrhart polynomials of convex polytopes with small volumes

Shifted symmetric $δ$ -vectors of convex polytopes