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» Triangulations without pointed spanning trees
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COMGEO
2008
ACM
13 years 4 months ago
Triangulations without pointed spanning trees
Oswin Aichholzer, Clemens Huemer, Hannes Krasser
ASPDAC
2001
ACM
103views Hardware» more  ASPDAC 2001»
13 years 8 months ago
Efficient minimum spanning tree construction without Delaunay triangulation
Given n points in a plane, a minimum spanning tree is a set of edges which connects all the points and has a minimum total length. A naive approach enumerates edges on all pairs o...
Hai Zhou, Narendra V. Shenoy, William Nicholls
JCO
2010
169views more  JCO 2010»
13 years 3 months ago
An almost four-approximation algorithm for maximum weight triangulation
We consider the following planar maximum weight triangulation (MAT) problem: given a set of n points in the plane, find a triangulation such that the total length of edges in tria...
Shiyan Hu
SODA
2004
ACM
115views Algorithms» more  SODA 2004»
13 years 6 months ago
Minimizing the stabbing number of matchings, trees, and triangulations
The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...
Sándor P. Fekete, Marco E. Lübbecke, H...
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 2 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...