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GD
2005
Springer
14 years 1 months ago
Odd Crossing Number Is Not Crossing Number
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
IV
2002
IEEE
130views Visualization» more  IV 2002»
14 years 12 days ago
Spring Embedder Preprocessing for WWW Visualization
We present a preprocessor for the spring embedder graph drawing method and show its use in speeding up the automatic layout of three-dimensional visualizations of WWW sites. Sprin...
Paul Mutton, Peter Rodgers
CLA
2007
13 years 9 months ago
An FDP-Algorithm for Drawing Lattices
In this work we want to discuss an algorithm for drawing line diagrams of lattices based on force directed placement (FDP). This widely used technique in graph drawing introduces f...
Christian Zschalig
ISBRA
2009
Springer
14 years 2 months ago
Untangling Tanglegrams: Comparing Trees by Their Drawings
A tanglegram is a pair of trees on the same set of leaves with matching leaves in the two trees joined by an edge. Tanglegrams are widely used in biology – to compare evolutiona...
Balaji Venkatachalam, Jim Apple, Katherine St. Joh...
GD
2007
Springer
14 years 1 months ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth