AWhat changed
Nemhauser, Wolsey and Fisher established a sharp worst-case guarantee for greedily maximizing a nondecreasing submodular set function under a cardinality limit.
Scientific scope
Nemhauser, Wolsey and Fisher established a sharp worst-case guarantee for greedily maximizing a nondecreasing submodular set function under a cardinality limit. The greedy approximation uses the stated finite-set, monotone submodular objective and cardinality constraints. Diminishing returns, feasibility and normalization assumptions matter. Nonmonotone functions and arbitrary constraints do not inherit the same guarantee. An approximation ratio is not exact optimization or measured practical performance.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- G. L. Nemhauser · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- L. A. Wolsey · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- M. L. Fisher · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Nemhauser, Wolsey and Fisher, An analysis of approximations for maximizing submodular set functions-I,1978 originaljournal CMUcoursecopy
- Springer publisher Crossrefdeposit for 1978 original
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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