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: | Terlaky Tams, Deza Antoine, Zinchenko Yuriy |
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.