Open-addressed hash tables without reordering can achieve O(1) amortized and O(log 1/delta) worst-case expected probe complexity, and greedy schemes achieve O(log^2 1/delta), disproving Yao's conjecture.
There is no fast single hashing algorithm
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Optimal Bounds for Open Addressing Without Reordering
Open-addressed hash tables without reordering can achieve O(1) amortized and O(log 1/delta) worst-case expected probe complexity, and greedy schemes achieve O(log^2 1/delta), disproving Yao's conjecture.