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» Plane embeddings of planar graph metrics
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FOCS
2003
IEEE
14 years 23 days ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee
GD
2008
Springer
13 years 8 months ago
Succinct Greedy Graph Drawing in the Hyperbolic Plane
We describe an efficient method for drawing any n-vertex simple graph G in the hyperbolic plane. Our algorithm produces greedy drawings, which support greedy geometric routing, so...
David Eppstein, Michael T. Goodrich
CLA
2004
13 years 9 months ago
Planarity of Additively Drawn Concept Lattices
In Formal Concept Analysis, it is a very important but quite difficult task to draw line diagrams of concept lattices automatically. In particular, we want every planar lattice to ...
Christian Zschalig
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
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...