Counterexamples of the Conjecture on Roots of Ehrhart Polynomials |
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| Authors: | Akihiro Higashitani |
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| Affiliation: | 1.Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology,Osaka University,Toyonaka,Japan |
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| Abstract: | On roots of Ehrhart polynomials, Beck et al. conjecture that all roots α of the Ehrhart polynomial of an integral convex polytope of dimension d satisfy −d≤ℜ(α)≤d−1. In this paper, we provide counterexamples for this conjecture. |
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