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» Encompassing colored planar straight line graphs
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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...
GD
2009
Springer
14 years 4 days ago
Geometric Simultaneous Embeddings of a Graph and a Matching
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...
COMGEO
2012
ACM
12 years 3 months ago
Point-set embeddings of plane 3-trees
A straight-line drawing of a plane graph G is a planar drawing of G, where each vertex is drawn as a point and each edge is drawn as a straight line segment. Given a set S of n poi...
Rahnuma Islam Nishat, Debajyoti Mondal, Md. Saidur...
GD
2004
Springer
14 years 28 days 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
IMR
2003
Springer
14 years 22 days ago
When and Why Ruppert's Algorithm Works
An “adaptive” variant of Ruppert’s Algorithm for producing quality triangular planar meshes is introduced. The algorithm terminates for arbitrary Planar Straight Line Graph ...
Gary L. Miller, Steven E. Pav, Noel Walkington