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» Symmetry and Approximability of Submodular Maximization Prob...
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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...
FOCS
2008
IEEE
13 years 7 months ago
On the Approximability of Budgeted Allocations and Improved Lower Bounds for Submodular Welfare Maximization and GAP
In this paper we consider the following maximum budgeted allocation (MBA) problem: Given a set of m indivisible items and n agents; each agent i willing to pay bij on item j and w...
Deeparnab Chakrabarty, Gagan Goel
APPROX
2009
Springer
138views Algorithms» more  APPROX 2009»
14 years 22 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
TOC
2010
127views Management» more  TOC 2010»
13 years 25 days ago
The Submodular Welfare Problem with Demand Queries
: We consider the Submodular Welfare Problem where we have m items and n players with given utility functions wi : 2[m] R+. The utility functions are assumed to be monotone and su...
Uriel Feige, Jan Vondrák
CORR
2012
Springer
218views Education» more  CORR 2012»
12 years 1 months ago
On the Hardness of Welfare Maximization in Combinatorial Auctions with Submodular Valuations
We present a new type of monotone submodular functions: multi-peak submodular functions. Roughly speaking, given a family of sets F, we construct a monotone submodular function f ...
Shahar Dobzinski, Jan Vondrák