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CORR
2010
Springer
111views Education» more  CORR 2010»
15 years 4 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»
16 years 5 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»
15 years 4 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 10 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»
15 years 4 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