Norm bounds for Ehrhart polynomial roots
Combinatorics
2010-07-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0602464,
title = {Norm bounds for Ehrhart polynomial roots},
author = {Benjamin Braun},
journal= {arXiv preprint arXiv:math/0602464},
year = {2010}
}
Comments
3 pages, to appear in Discrete and Computational Geometry