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» Three-Clustering of Points in the Plane
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COMPGEOM
1992
ACM
13 years 11 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar
CCCG
1993
13 years 9 months ago
The Floodlight Problem
Given three angles summing to 2, given n points in the plane and a tripartition k1 + k2 + k3 = n, we can tripartition the plane into three wedges of the given angles so that the ...
Prosenjit Bose, Leonidas J. Guibas, Anna Lubiw, Ma...
CCCG
2009
13 years 8 months ago
Colored Simultaneous Geometric Embeddings and Universal Pointsets
A set of n points in the plane is a universal pointset for a given class of graphs, if any n-vertex graph in that class can be embedded in the plane so that vertices are mapped to...
Alejandro Estrella-Balderrama, J. Joseph Fowler, S...
CCCG
2010
13 years 9 months ago
Compatible pointed pseudo-triangulations
For a given point set S (in general position), two pointed pseudo-triangulations are compatible if their union is plane. We show that for any set S there exist two maximally disjo...
Thomas Hackl, Oswin Aichholzer, Birgit Vogtenhuber
CCCG
2007
13 years 9 months ago
Pointed Drawings of Planar Graphs
We study the problem how to draw a planar graph such that every vertex is incident to an angle greater than π. In general a straightline embedding cannot guarantee this property....
Oswin Aichholzer, Günter Rote, André S...