Justin Ward

On Maximizing a Weakly Submodular Function over a Matroid Constraint via the Greedy Algorithm

We consider the problem of approximately maximizing a weakly submodular function using the standard greedy algorithm, which is known to give tight approximation results for such functions under a cardinality constraint. We show that this is not the case for general matroid constraints. For any $\gamma<1$, we give a fam...