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» Obfuscated Drawings of Planar Graphs
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CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 10 months ago
On Graph Crossing Number and Edge Planarization
Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their ...
Julia Chuzhoy, Yury Makarychev, Anastasios Sidirop...
CORR
2010
Springer
106views Education» more  CORR 2010»
13 years 10 months ago
Lombardi Drawings of Graphs
We introduce the notion of Lombardi graph drawings, named after the abstract artist Mark Lombardi. In these drawings, edges are represented as circular arcs rather than as line seg...
Christian A. Duncan, David Eppstein, Michael T. Go...
GD
2004
Springer
14 years 3 months ago
Really Straight Graph Drawings
We study straight-line drawings of graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-trees, a...
Vida Dujmovic, Matthew Suderman, David R. Wood
ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
14 years 3 months ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki
ESA
1993
Springer
109views Algorithms» more  ESA 1993»
14 years 1 months ago
Optimal Upward Planarity Testing of Single-Source Digraphs
A digraph is upward planar if it has a planar drawing such that all the edges are monotone with respect to the vertical direction. Testing upward planarity and constructing upward ...
Paola Bertolazzi, Giuseppe Di Battista, Carlo Mann...