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COMGEO
2008
ACM
14 years 11 months ago
Recursive geometry of the flow complex and topology of the flow complex filtration
The flow complex is a geometric structure, similar to the Delaunay tessellation, to organize a set of (weighted) points in Rk. Flow shapes are topological spaces corresponding to ...
Kevin Buchin, Tamal K. Dey, Joachim Giesen, Matthi...
COMGEO
2008
ACM
14 years 11 months ago
Encompassing colored planar straight line graphs
Consider a planar straight line graph (PSLG), G, with k connected components, k 2. We show that if no component is a singleton, we can always find a vertex in one component that s...
Ferran Hurtado, Mikio Kano, David Rappaport, Csaba...
COMGEO
2008
ACM
14 years 11 months ago
Covering point sets with two disjoint disks or squares
We study the following problem: Given a set of red points and a set of blue points on the plane, find two unit disks CR and CB with disjoint interiors such that the number of red ...
Sergio Cabello, José Miguel Díaz-B&a...
COMGEO
2008
ACM
14 years 11 months ago
Optimal location of transportation devices
We consider algorithms for finding the optimal location of a simple transportation device, that we call a moving walkway, consisting of a pair of points in the plane between which ...
Jean Cardinal, Sébastien Collette, Ferran H...