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Fredman, Komlós and Szemerédi: static sparse tables with constant worst-case lookup

Contribution grade

Computer science · Computer science

Reference score140,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

The paper constructed static sparse-set representations with constant worst-case membership query time and linear space, then refined word storage to n plus a sublinear remainder under its stated model.

Scientific scope

The paper constructed static sparse-set representations with constant worst-case membership query time and linear space, then refined word storage to n plus a sublinear remainder under its stated model. The result concerns a static key set and the specified word-RAM/hash-family assumptions. Randomized construction can produce linear-space storage with worst-case constant lookup, but construction and lookup guarantees are different. It does not provide unrestricted dynamic updates, adversarial chosen-key security or free computation on arbitrarily long keys. Implementation constants and practical throughput have not been replayed.

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

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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