On the Exact Constant in the Quantitative Steinitz Theorem in the Plane.
On the Graph of Large Distances.
On the Hadwiger numbers of centrally symmetric starlike disks.
On the Minimal Convex Annulus of a Planar Convex Body.
On the Non-Existence of Certain Nearly Regular Planar Maps with Two Exceptional Faces
On the Sobolev distance of convex bodies.
On the stability of the unit circle with minimal self-perimeter in normed planes
We prove a stability result on the minimal self-perimeter L(B) of the unit disk B of a normed plane: if L(B) = 6 + ε for a sufficiently small ε, then there exists an affinely regular hexagon S such that S ⊂ B ⊂ (1 + 6∛ε) S.
On the Union of Jordan Regions and Collision-Free Translational Motion Amidst Polygonal Obstacles.
Optimizing geometric measures for fixed minimal annulus and inradius.