Maximizing Nonmonotone Submodular Functions under Matroid or 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 hypergraphs, certain constraint satisfaction problems, maximum entropy sampling, and maximum facility location problems. Un...

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Vydané v:	SIAM journal on discrete mathematics Ročník 23; číslo 4; s. 2053 - 2078
Hlavní autori:	Lee, Jon, Mirrokni, Vahab S., Nagarajan, Viswanath, Sviridenko, Maxim
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2010
Predmet:	Algebra Algorithmics. Computability. Computer arithmetics Algorithms Applied mathematics Applied sciences Approximation Combinatorics Combinatorics. Ordered structures Computer science; control theory; systems Convex and discrete geometry Design of experiments Entropy Exact sciences and technology Geometry Graph theory Graphs Mathematical programming Mathematics Optimization Random variables Sciences and techniques of general use Theoretical computing Hypergraph Constraint Combinatorial problem Matroid Optimization method Entropy 68W25 approximation algorithms Approximation algorithm Combinatorial optimization Location problem Maximum matroid and knapsack constraints Discrete mathematics Sampling Monotonic function Partition Approximation Maximization Minimization 90C27 Knapsack problem submodular maximization Graph cut Digraph Directed graph
ISSN:	0895-4801, 1095-7146
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