Polytopes and arrangements: Diameter and curvature

Polytopes and arrangements: Diameter and curvature

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Article ID: iaor20091398
Country: Netherlands
Volume: 36
Issue: 2
Start Page Number: 215
End Page Number: 222
Publication Date: Mar 2008
Journal: Operations Research Letters
Authors: , ,
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.

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