Abstract
M. Beck et al. 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.
Original language | English |
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Pages (from-to) | 191-193 |
Number of pages | 3 |
Journal | Discrete and Computational Geometry |
Volume | 39 |
Issue number | 1-3 |
DOIs | |
State | Published - Mar 2008 |
Keywords
- Ehrhart theory
- Lattice polytopes
- Polynomial roots
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics