most citedCounterexamples of the conjecture on roots of Ehrhart polynomials

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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 of the Ehrhart polynomial of an integral convex polytope of dimension satisfy $-d \leq \Re(α)…

math.CO2009

Ehrhart polynomials of convex polytopes with small volumes

Takayuki Hibi, Akihiro Higashitani, Yuuki Nagazawa

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