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GD
2003
Springer
15 years 3 months ago
Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles
A drawing of a family of cuts of a graph is an augmented drawing of the graph such that every cut in the family is represented by a simple closed curve and vice versa. We show tha...
Ulrik Brandes, Sabine Cornelsen, Dorothea Wagner
GD
2004
Springer
15 years 3 months ago
Clustering Cycles into Cycles of Clusters
In this paper we study simple families of clustered graphs that are highly unconnected. We start by studying 3-cluster cycles, which are clustered graphs such that the underlying ...
Pier Francesco Cortese, Giuseppe Di Battista, Maur...
GD
2004
Springer
15 years 3 months ago
Layout Volumes of the Hypercube
We study 3-dimensional layouts of the hypercube in a 1-active layer and general model. The problem can be understood as a graph drawing problem in 3D space and was addressed at Gr...
Lubomir Torok, Imrich Vrto
GD
2004
Springer
15 years 3 months ago
Convex Drawings of 3-Connected Plane Graphs
We use Schnyder woods of 3-connected planar graphs to produce convex straight line drawings on a grid of size (n − 2 − ∆) × (n − 2 − ∆). The parameter ∆ ≥ 0 depen...
Nicolas Bonichon, Stefan Felsner, Mohamed Mosbah
GD
2004
Springer
15 years 3 months ago
No-Three-in-Line-in-3D
The no-three-in-line problem, introduced by Dudeney in 1917, asks for the maximum number of points in the n × n grid with no three points collinear. In 1951, Erd¨os proved that t...
Attila Pór, David R. Wood