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» Odd Crossing Number and Crossing Number Are Not the Same
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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
SWAT
1998
Springer
110views Algorithms» more  SWAT 1998»
13 years 11 months ago
On the Number of Regular Vertices of the Union of Jordan Regions
Let C be a collection of n Jordan regions in the plane in general position, such that each pair of their boundaries intersect in at most s points, where s is a constant. Let U den...
Boris Aronov, Alon Efrat, Dan Halperin, Micha Shar...
NIPS
2004
13 years 9 months ago
Breaking SVM Complexity with Cross-Training
We propose to selectively remove examples from the training set using probabilistic estimates related to editing algorithms (Devijver and Kittler, 1982). This heuristic procedure ...
Gökhan H. Bakir, Léon Bottou, Jason We...
COMPGEOM
2000
ACM
13 years 12 months ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk
GLOBECOM
2008
IEEE
13 years 7 months ago
Improving BitTorrent Traffic Performance by Exploiting Geographic Locality
Abstract--Current implementations of BitTorrent-like P2P applications ignore the underlying Internet topology hence incur a large amount of traffic both inside an Internet Service ...
Chen Tian, Xue Liu, Hongbo Jiang, Wenyu Liu, Yi Wa...