Deza, Antoine
Continous analogue of Hirsch conjecture ★★
Author(s): Deza; Terlaky; Zinchenko
Conjecture The order of the largest total curvature of the primal central path over all polytopes defined by inequalities in dimension is .
Average diameter of a bounded cell of a simple arrangement ★★
Author(s): Deza; Terlaky; Zinchenko
Conjecture The average diameter of a bounded cell of a simple arrangement defined by hyperplanes in dimension is not greater than .
Keywords: arrangement; diameter; polytope