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» Approximation Algorithms for Free-Label Maximization
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SODA
2004
ACM
82views Algorithms» more  SODA 2004»
13 years 10 months ago
On finding a guard that sees most and a shop that sells most
We present a near-quadratic time algorithm that computes a point inside a simple polygon P having approximately the largest visibility polygon inside P, and a nearlinear time algo...
Otfried Cheong, Alon Efrat, Sariel Har-Peled
FOCS
2007
IEEE
14 years 2 months ago
Maximizing Non-Monotone Submodular Functions
Submodular maximization generalizes many important problems including Max Cut in directed/undirected graphs and hypergraphs, certain constraint satisfaction problems and maximum f...
Uriel Feige, Vahab S. Mirrokni, Jan Vondrák
SODA
2004
ACM
161views Algorithms» more  SODA 2004»
13 years 10 months ago
Approximation schemes for Metric Bisection and partitioning
We design polynomial time approximation schemes (PTASs) for Metric BISECTION, i.e. dividing a given finite metric space into two halves so as to minimize or maximize the sum of di...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...
APPROX
2009
Springer
138views Algorithms» more  APPROX 2009»
14 years 3 months ago
Submodular Maximization over Multiple Matroids via Generalized Exchange Properties
Submodular-function maximization is a central problem in combinatorial optimization, generalizing many important NP-hard problems including Max Cut in digraphs, graphs and hypergr...
Jon Lee, Maxim Sviridenko, Jan Vondrák
SODA
2010
ACM
148views Algorithms» more  SODA 2010»
14 years 6 months ago
Limits on the Social Welfare of Maximal-In-Range Auction Mechanisms
Many commonly-used auction mechanisms are "maximal-in-range". We show that any maximalin-range mechanism for n bidders and m items cannot both approximate the social wel...
Dave Buchfuhrer, Chris Umans