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» A Threshold of ln n for Approximating Set Cover
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COMBINATORICA
2011
12 years 7 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
14 years 1 months ago
A Primal-Dual Approximation Algorithm for Partial Vertex Cover: Making Educated Guesses
We study the partial vertex cover problem. Given a graph G = (V, E), a weight function w : V → R+ , and an integer s, our goal is to cover all but s edges, by picking a set of v...
Julián Mestre
GECCO
2007
Springer
193views Optimization» more  GECCO 2007»
14 years 1 months ago
Approximating covering problems by randomized search heuristics using multi-objective models
The main aim of randomized search heuristics is to produce good approximations of optimal solutions within a small amount of time. In contrast to numerous experimental results, th...
Tobias Friedrich, Nils Hebbinghaus, Frank Neumann,...
WINE
2009
Springer
138views Economy» more  WINE 2009»
14 years 2 months ago
Covering Games: Approximation through Non-cooperation
We propose approximation algorithms under game-theoretic considerations. We indroduce and study the general covering problem which is a natural generalization of the well-studied m...
Martin Gairing
APPROX
2008
Springer
245views Algorithms» more  APPROX 2008»
13 years 9 months ago
Approximating Optimal Binary Decision Trees
Abstract. We give a (ln n + 1)-approximation for the decision tree (DT) problem. An instance of DT is a set of m binary tests T = (T1, . . . , Tm) and a set of n items X = (X1, . ....
Micah Adler, Brent Heeringa