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WINE
2005
Springer
182views Economy» more  WINE 2005»
13 years 11 months ago
Inapproximability Results for Combinatorial Auctions with Submodular Utility Functions
We consider the following allocation problem arising in the setting of combinatorial auctions: a set of goods is to be allocated to a set of players so as to maximize the sum of t...
Subhash Khot, Richard J. Lipton, Evangelos Markaki...
TALG
2010
109views more  TALG 2010»
13 years 4 months ago
Facility location with hierarchical facility costs
We introduce a facility location problem with submodular facility cost functions, and give an O(log n) approximation algorithm for it. Then we focus on a special case of submodula...
Zoya Svitkina, Éva Tardos
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
14 years 6 months ago
Non-monotone submodular maximization under matroid and knapsack constraints
Submodular function maximization is a central problem in combinatorial optimization, generalizing many important problems including Max Cut in directed/undirected graphs and in hy...
Jon Lee, Vahab S. Mirrokni, Viswanath Nagarajan, M...
COCOA
2008
Springer
13 years 7 months ago
Elementary Approximation Algorithms for Prize Collecting Steiner Tree Problems
This paper deals with approximation algorithms for the prize collecting generalized Steiner forest problem, defined as follows. The input is an undirected graph G = (V, E), a colle...
Shai Gutner
APPROX
2009
Springer
138views Algorithms» more  APPROX 2009»
14 years 19 days 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