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CORR
2010
Springer
111views Education» more  CORR 2010»
14 years 10 months ago
Submodular Maximization by Simulated Annealing
We consider the problem of maximizing a nonnegative (possibly non-monotone) submodular set function with or without constraints. Feige et al. [9] showed a 2/5-approximation for th...
Shayan Oveis Gharan, Jan Vondrák
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
15 years 10 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...
CORR
2010
Springer
127views Education» more  CORR 2010»
14 years 10 months ago
A note on concentration of submodular functions
We survey a few concentration inequalities for submodular and fractionally subadditive functions of independent random variables, implied by the entropy method for self-bounding f...
Jan Vondrák
WINE
2005
Springer
182views Economy» more  WINE 2005»
15 years 3 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...
JCT
2000
103views more  JCT 2000»
14 years 9 months ago
A Combinatorial Algorithm Minimizing Submodular Functions in Strongly Polynomial Time
We give a strongly polynomial-time algorithm minimizing a submodular function f given by a value-giving oracle. The algorithm does not use the ellipsoid method or any other linear ...
Alexander Schrijver