# General bounds for incremental maximization

@article{Bernstein2017GeneralBF, title={General bounds for incremental maximization}, author={Aaron Bernstein and Yann Disser and Martin Gro{\ss}}, journal={Mathematical Programming}, year={2017}, volume={191}, pages={953-979} }

We propose a theoretical framework to capture incremental solutions to cardinality constrained maximization problems. The defining characteristic of our framework is that the cardinality/support of the solution is bounded by a value $$k\in {\mathbb {N}}$$ k ∈ N that grows over time, and we allow the solution to be extended one element at a time. We investigate the best-possible competitive ratio of such an incremental solution, i.e., the worst ratio over all k between the incremental solution…

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