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» On covering by translates of a set
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CGF
2006
125views more  CGF 2006»
13 years 5 months ago
Translational Covering of Closed Planar Cubic B-Spline Curves
Spline curves are useful in a variety of geometric modeling and graphics applications and covering problems abound in practical settings. This work defines a class of covering dec...
Cristina Neacsu, Karen Daniels
FOCS
2008
IEEE
13 years 6 months ago
Set Covering with our Eyes Closed
Given a universe U of n elements and a weighted collection S of m subsets of U, the universal set cover problem is to a-priori map each element u ∈ U to a set S(u) ∈ S contain...
Fabrizio Grandoni, Anupam Gupta, Stefano Leonardi,...
ICALP
2005
Springer
13 years 10 months ago
A Better Approximation Ratio for the Vertex Cover Problem
We reduce the approximation factor for Vertex Cover to 2 − Θ( 1√ log n ) (instead of the previous 2 − Θ(log log n log n ), obtained by Bar-Yehuda and Even [2], and by Moni...
George Karakostas
JSYML
2008
98views more  JSYML 2008»
13 years 5 months ago
Combinatorial images of sets of reals and semifilter trichotomy
Using a dictionary translating a variety of classical and modern covering properties into combinatorial properties of continuous images, we get a simple way to understand the inter...
Boaz Tsaban, Lyubomyr Zdomskyy