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» Improvement on the Decay of Crossing Numbers
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COMPGEOM
2005
ACM
14 years 11 months ago
Abstract order type extension and new results on the rectilinear crossing number
Order Type Extension and New Results ectilinear Crossing Number - Extended Abstract Oswin Aichholzer∗ Hannes Krasser† We provide a complete data base of all realizable order t...
Oswin Aichholzer, Hannes Krasser
SDM
2008
SIAM
165views Data Mining» more  SDM 2008»
14 years 11 months ago
On the Dangers of Cross-Validation. An Experimental Evaluation
Cross validation allows models to be tested using the full training set by means of repeated resampling; thus, maximizing the total number of points used for testing and potential...
R. Bharat Rao, Glenn Fung
ESA
2008
Springer
115views Algorithms» more  ESA 2008»
14 years 11 months ago
A New Approach to Exact Crossing Minimization
The crossing number problem is to find the smallest number of edge crossings necessary when drawing a graph into the plane. Eventhough the problem is NP-hard, we are interested in ...
Markus Chimani, Petra Mutzel, Immanuel M. Bomze
WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
15 years 4 months ago
A Global k-Level Crossing Reduction Algorithm
Abstract. Directed graphs are commonly drawn by the Sugiyama algorithm, where crossing reduction is a crucial phase. It is done by repeated one-sided 2-level crossing minimizations...
Christian Bachmaier, Franz-Josef Brandenburg, Wolf...
COMPGEOM
1996
ACM
15 years 2 months ago
On the Number of Arrangements of Pseudolines
Given a simple arrangementof n pseudolines in the Euclidean plane, associate with line i the list i of the lines crossing i in the order of the crossings on line i. i = ( i 1; i 2;...
Stefan Felsner