arXiv:math/0602464 Abstract

arXiv:math/0602464 [math.CO]Abstract References Reviews Resources

Norm bounds for Ehrhart polynomial roots

Published 2006-02-21, updated 2006-09-09Version 2

M. Beck, J. De Loera, M. Develin, J. Pfeifle and R. Stanley found that the roots of the Ehrhart polynomial of a d-dimensional lattice polytope are bounded above in norm by 1+(d+1)!. We provide an improved bound which is quadratic in d and applies to a larger family of polynomials.

Comments: 3 pages, to appear in Discrete and Computational Geometry

Journal: Discrete Comput. Geom. 39 (2008), no. 1-3, 191--193

Categories: math.CO

Subjects: 52C07, 52B20, 26C10

Keywords: ehrhart polynomial roots, norm bounds, d-dimensional lattice polytope

Tags: journal article

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