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math.OC2022
Blaschke and Separation Theorems for Orthogonally Convex Sets
Phan Thanh An, Nguyen Thi Le
In this paper, we deal with analytic and geometric properties of orthogonally convex sets. We establish a Blaschke-type theorem for path-connected and orthogonally convex sets in t…
math.OC2022
Finding Approximately Convex Ropes in the Plane
Le Hong Trang, Nguyen Thi Le, Phan Thanh An
The convex rope problem is to find a counterclockwise or clockwise convex rope starting at the vertex a and ending at the vertex b of a simple polygon P, where a is a vertex of the…