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» On Graph Crossing Number and Edge Planarization
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75
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GD
2006
Springer
15 years 1 months ago
Computing Geometric Minimum-Dilation Graphs Is NP-Hard
We prove that computing a geometric minimum-dilation graph on a given set of points in the plane, using not more than a given number of edges, is an NP-hard problem, no matter if ...
Rolf Klein, Martin Kutz
FSTTCS
2005
Springer
15 years 3 months ago
Comparing Trees Via Crossing Minimization
Abstract. Two trees with the same number of leaves have to be embedded in two layers in the plane such that the leaves are aligned in two adjacent layers. Additional matching edges...
Henning Fernau, Michael Kaufmann, Mathias Poths
86
Voted
CCCG
2007
14 years 11 months ago
Morphing Planar Graph Drawings
We give an algorithm to morph between two planar drawings of a graph, preserving planarity, but allowing edges to bend during the course of the morph. The morph uses a polynomial ...
Anna Lubiw
GD
2003
Springer
15 years 2 months ago
Radial Level Planarity Testing and Embedding in Linear Time
A graph with an ordered k-partition of the vertices is radial level planar if there is a strictly outward drawing on k concentric levels without crossings. Radial level planarity ...
Christian Bachmaier, Franz-Josef Brandenburg, Mich...
CORR
2002
Springer
108views Education» more  CORR 2002»
14 years 9 months ago
Confluent Drawings: Visualizing Non-planar Diagrams in a Planar Way
We introduce a new approach for drawing diagrams. Our approach is to use a technique we call confluent drawing for visualizing non-planar graphs in a planar way. This approach all...
Matthew Dickerson, David Eppstein, Michael T. Good...