Tuesday, 14:15 - 14:40 h, Room: H 3008

 

Yuriy Zinchenko
Polytopes and arrangements: Diameter and curvature

Coauthors: Antoine dDeza, Tamas Terlaky

 

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, and a continuous analogue of a d-step equivalence result for the diameter of a polytope. Potential extensions of this work will be highlighted.

 

Talk 3 of the invited session Tue.2.H 3008
"Combinatorics and geometry of linear optimization I" [...]
Cluster 2
"Combinatorial optimization" [...]

 

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