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cs.CG2019
Disks in Curves of Bounded Convex Curvature
Anders Aamand, Mikkel Abrahamsen, Mikkel Thorup
We say that a simple, closed curve in the plane has bounded convex curvature if for every point on , there is an open unit disk and such that $x\…
cs.DS2019
Fast hashing with Strong Concentration Bounds
Anders Aamand, Jakob B. T. Knudsen, Mathias B. T. Knudsen +2
Previous work on tabulation hashing by Patrascu and Thorup from STOC'11 on simple tabulation and from SODA'13 on twisted tabulation offered Chernoff-style concentration bounds on h…
cs.CG2019
Classifying Convex Bodies by their Contact and Intersection Graphs
Anders Aamand, Mikkel Abrahamsen, Jakob Bæk Tejs Knudsen +1
Suppose that is a convex body in the plane and that are translates of . Such translates give rise to an intersection graph of , , with vertices $…