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Convex Hull Problems

2015

Abstract
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The paper discusses the significant developments in the convex hull problem, a central topic in computational geometry. It reviews historical algorithms, particularly highlighting Graham's algorithm and its optimality proofs in various dimensions. Open problems related to lower bounds in even dimensions, the complexities of Delaunay triangulations, and the realization of convex hull vertices are explored, pointing out the ongoing challenges and conjectures in the field.