Article ID Journal Published Year Pages File Type
1142915 Operations Research Letters 2008 8 Pages PDF
Abstract

We introduce a continuous analogue of the Hirsch conjecture and a discrete analogue of the result of Dedieu, Malajovich and Shub. We prove a continuous analogue of the result of Holt and Klee, namely, we construct a family of polytopes which attain the conjectured order of the largest total curvature.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Preview
Polytopes and arrangements: Diameter and curvature
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