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COMGEO
2008
ACM
13 years 4 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
13 years 4 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
13 years 4 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
13 years 4 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...