order-preserving minimal perfect hashing


Definition: A minimal perfect hashing function for keys in S such that if k1, k2 ∈ S and k1 > k2, then f(k1) > f(k2).

Generalization (I am a kind of ...)
minimal perfect hashing, linear hash, Las Vegas algorithm.

See also Pearson's hash.

Note: For example, if the keys are stored in order in an array, the array offsets are an order preserving minimal perfect hash of the keys.

Author: BJ

More information

Zbigniew J. Czech, George Havas, and Bohdan S. Majewski, An Optimal Algorithm for Generating Minimal Perfect Hash Functions, Information Processing Letters, 43(5):257-264, October 1992. Available at "It uses expected linear time and ... runs very fast in practice."

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Entry modified 14 April 2009.
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Cite this as:
Bob Jenkins, "order-preserving minimal perfect hashing", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 14 April 2009. (accessed TODAY) Available from: