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91
Voted
GD
1998
Springer
15 years 1 months ago
Balanced Aspect Ratio Trees and Their Use for Drawing Very Large Graphs
We describe a new approach for cluster-based drawing of very large graphs, which obtains clusters by using binary space partition (BSP) trees. We also introduce a novel BSP-type de...
Christian A. Duncan, Michael T. Goodrich, Stephen ...
ISAAC
1999
Springer
110views Algorithms» more  ISAAC 1999»
15 years 1 months ago
Online Routing in Triangulations
We consider online routing algorithms for routing between the vertices of embedded planar straight line graphs. Our results include (1) two deterministic memoryless routing algorit...
Prosenjit Bose, Pat Morin
95
Voted
COMGEO
2012
ACM
13 years 5 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...
86
Voted
GD
2004
Springer
15 years 2 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
65
Voted
IMR
2003
Springer
15 years 2 months 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