Near-optimal bicriteria approximation algorithms with matching hardness for constrained submodular maximization, spanning cardinality, knapsack, matroid and convex-set constraints and monotone, general and symmetric objectives.
Constrained submodular maximization via a nonsym- metric technique
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Bicriteria Submodular Maximization
Near-optimal bicriteria approximation algorithms with matching hardness for constrained submodular maximization, spanning cardinality, knapsack, matroid and convex-set constraints and monotone, general and symmetric objectives.