Abstract
A special case of Mahler's conjecture on the volume-product of symmetric convex bodies in n-dimensional Euclidean space is treated here. This is the case of polytopes with at most 2n + 2 vertices (or facets). Mahler's conjecture is proved in this case for n ≤ 8 and the minimal bodies are characterized.
Original language | English |
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Pages (from-to) | 163-177 |
Number of pages | 15 |
Journal | Discrete and Computational Geometry |
Volume | 20 |
Issue number | 2 |
DOIs | |
State | Published - Sep 1998 |
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics