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» On the rectilinear crossing number of complete graphs
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COMPGEOM
2005
ACM
13 years 7 months ago
Abstract order type extension and new results on the rectilinear crossing number
Order Type Extension and New Results ectilinear Crossing Number - Extended Abstract Oswin Aichholzer∗ Hannes Krasser† We provide a complete data base of all realizable order t...
Oswin Aichholzer, Hannes Krasser
GD
2007
Springer
13 years 11 months ago
Simultaneous Geometric Graph Embeddings
We consider the following problem known as simultaneous geometric graph embedding (SGE). Given a set of planar graphs on a shared vertex set, decide whether the vertices can be pla...
Alejandro Estrella-Balderrama, Elisabeth Gassner, ...
SOFSEM
2005
Springer
13 years 11 months ago
Outerplanar Crossing Numbers of 3-Row Meshes, Halin Graphs and Complete p-Partite Graphs
An outerplanar (also called circular, convex, one-page) drawing of an n-vertex graph G is a drawing in which the vertices are placed on a circle and each edge is drawn using one s...
Radoslav Fulek, Hongmei He, Ondrej Sýkora, ...
GD
1998
Springer
13 years 9 months ago
Geometric Thickness of Complete Graphs
We define the geometric thickness of a graph to be the smallest number of layers such that we can draw the graph in the plane with straightline edges and assign each edge to a lay...
Michael B. Dillencourt, David Eppstein, Daniel S. ...
DMTCS
2010
157views Mathematics» more  DMTCS 2010»
13 years 2 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...