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GD
2004
Springer
13 years 10 months ago
Partitions of Complete Geometric Graphs into Plane Trees
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Prosenjit Bose, Ferran Hurtado, Eduardo Rivera-Cam...
COMPGEOM
2004
ACM
13 years 10 months ago
On locally Delaunay geometric graphs
A geometric graph is a simple graph G = (V, E) with an embedding of the set V in the plane such that the points that represent V are in general position. A geometric graph is said...
Rom Pinchasi, Shakhar Smorodinsky
ISAAC
2005
Springer
91views Algorithms» more  ISAAC 2005»
13 years 10 months ago
Sparse Geometric Graphs with Small Dilation
Given a set S of n points in RD , and an integer k such that 0 k < n, we show that a geometric graph with vertex set S, at most n − 1 + k edges, maximum degree five, and dila...
Boris Aronov, Mark de Berg, Otfried Cheong, Joachi...