Star-shaped bodies are an important nonconvex generalization of convex bodies (e.g., linear programming with violations). Here we present an efficient algorithm for sampling a giv...
Karthekeyan Chandrasekaran, Daniel Dadush, Santosh...
In this note, we show that the size of the perimeter of (α, β)-covered objects is a linear function of the diameter. Specifically, for an (α, β)-covered object O, per(O) ≤ c...
We show that the size of the perimeter of (, )-covered objects is a linear function of the diameter. Specifically, for an (, )-covered object O, per(O) c diam(O) sin2 , for a pos...
We study a new family of geometric graphs that interpolate between the Delaunay triangulation and the Gabriel graph. These graphs share many properties with skeletons for [0, 1]...
The cornerstone of any algorithm computing all repetitions in a string of length n in O(n) time is the fact that the number of runs (or maximal repetitions) is O(n). We give a simp...