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DMTCS
2010
157views Mathematics» more  DMTCS 2010»
14 years 6 months ago
Edge-Removal and Non-Crossing Configurations in Geometric Graphs
A geometric graph is a graph G = (V, E) drawn in the plane, such that V is a point set in general position and E is a set of straight-line segments whose endpoints belong to V . W...
Oswin Aichholzer, Sergio Cabello, Ruy Fabila Monro...
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
15 years 3 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan
GD
2004
Springer
15 years 2 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...
SIBGRAPI
2009
IEEE
15 years 4 months ago
Scale-Space for Union of 3D Balls
Shape discretization through union of weighted points or balls appears as a common representation in different fields of computer graphics and geometric modeling. Among others, it...
Alex Laier Bordignon, Betina Vath, Thales Vieira, ...
JGT
2006
101views more  JGT 2006»
14 years 9 months ago
Distinguishing geometric graphs
We begin the study of distinguishing geometric graphs. Let G be a geometric graph. An automorphism of the underlying graph that preserves both crossings and noncrossings is called...
Michael O. Albertson, Debra L. Boutin