# curvature

## 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 .

## What is the largest graph of positive curvature? ★

**Problem**What is the largest connected planar graph of minimum degree 3 which has everywhere positive combinatorial curvature, but is not a prism or antiprism?

Keywords: curvature; planar graph