A. Higashitani

most citedCounterexamples of the conjecture on roots of Ehrhart polynomials

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

collaborators

3 papers

math.CO2011★ 2 cited

Counterexamples of the conjecture on roots of Ehrhart polynomials

Akihiro Higashitani

An outstanding conjecture on roots of Ehrhart polynomials says that all roots $α$ of the Ehrhart polynomial of an integral convex polytope of dimension $d$ satisfy $-d \leq \Re(α)…

math.AC2011

Depth of initial ideals of normal edge rings

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1

Let $G$ be a finite graph on the vertex set $[d] = {1, ..., d}$ with the edges $e_{1}, ..., e_{n}$ and $K[\tb] = K[t_1, ..., t_d]$ the polynomial ring in $d$ variables over a field…

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!).