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COMGEO
2007
ACM
13 years 7 months ago
Drawings of planar graphs with few slopes and segments
We study straight-line drawings of planar graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-...
Vida Dujmovic, David Eppstein, Matthew Suderman, D...
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
CORR
2010
Springer
164views Education» more  CORR 2010»
13 years 7 months ago
Schnyder decompositions for regular plane graphs and application to drawing
Schnyder woods are decompositions of simple triangulations into three edge-disjoint spanning trees crossing each other in a specific way. In this article, we define a generalizatio...
Olivier Bernardi, Éric Fusy
SOFSEM
2007
Springer
14 years 1 months ago
Straightening Drawings of Clustered Hierarchical Graphs
In this paper we deal with making drawings of clustered hierarchical graphs nicer. Given a planar graph G = (V, E) with an assignment of the vertices to horizontal layers, a plane ...
Sergey Bereg, Markus Völker, Alexander Wolff,...
GD
2009
Springer
13 years 12 months 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...