Norm bounds for Ehrhart polynomial roots
组合数学
2010-07-23 v2
摘要
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.
引用
@article{arxiv.math/0602464,
title = {Norm bounds for Ehrhart polynomial roots},
author = {Benjamin Braun},
journal= {arXiv preprint arXiv:math/0602464},
year = {2010}
}
备注
3 pages, to appear in Discrete and Computational Geometry