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cs.CG2022
Well-Separation and Hyperplane Transversals in High Dimensions
Helena Bergold, Daniel Bertschinger, Nicolas Grelier +2
A family of point sets in dimensions is well-separated if the convex hulls of any two disjoint subfamilies can be separated by a hyperplane. Well-separation is a strong ass…
cs.CG2022
Nearest-Neighbor Decompositions of Drawings
Jonas Cleve, Nicolas Grelier, Kristin Knorr +3
Let be a set of straight-line segments in the plane, potentially crossing, and let be a positive integer. We denote by the union of the endpoints of the strai…