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GD
2006
Springer
13 years 11 months ago
Planarity Testing and Optimal Edge Insertion with Embedding Constraints
The planarization method has proven to be successful in graph drawing. The output, a combinatorial planar embedding of the so-called planarized graph, can be combined with state-o...
Carsten Gutwenger, Karsten Klein, Petra Mutzel
FOCS
2009
IEEE
14 years 2 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
GD
2003
Springer
14 years 18 days 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...
DAM
2011
13 years 2 months ago
Untangling planar graphs from a specified vertex position - Hard cases
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an ...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
DCG
2008
82views more  DCG 2008»
13 years 7 months ago
Schnyder Woods and Orthogonal Surfaces
In this paper we study connections between planar graphs, Schnyder woods, and orthogonal surfaces. Schnyder woods and the face counting approach have important applications in gra...
Stefan Felsner, Florian Zickfeld