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CCCG
2006
13 years 8 months ago
A Study of Conway's Thrackle Conjecture
A thrackle is a drawing of a simple graph on the plane, where each edge is drawn as a smooth arc with distinct end-points, and every two arcs have exactly one common point, at whi...
Wei Li 0011, Karen Daniels, Konstantin A. Rybnikov
CCCG
2006
13 years 8 months ago
Spanning trees across axis-parallel segments
Abstract. Given a set P of points and a set S of pairwise disjoint axis-parallel line segments in the plane, we construct a straight line spanning tree T on P such that every segme...
Csaba D. Tóth, Michael Hoffmann
CCCG
2006
13 years 8 months ago
Curves in the Sand: Algorithmic Drawing
Mirela Damian, Erik D. Demaine, Martin L. Demaine,...
CCCG
2006
13 years 8 months ago
A Simple Streaming Algorithm for Minimum Enclosing Balls
We analyze an extremely simple approximation algorithm for computing the minimum enclosing ball (or the 1-center) of a set of points in high dimensions. We prove that this algorit...
Hamid Zarrabi-Zadeh, Timothy M. Chan
CCCG
2006
13 years 8 months ago
Removing Outliers to Minimize Area and Perimeter
We consider the problem of removing c points from a set S of n points so that the resulting point set has the smallest possible convex hull. Our main result is an O n 4c 2c (3c)c +...
Rossen Atanassov, Pat Morin, Stefanie Wuhrer