
Summary: A new algorithm for finding minimal perfect hash functions (MPHF) is proposed. The algorithm given three pseudorandom functions \(h_ 0\), \(h_ 1\) and \(h_ 2\), searches for a function \(g\) such that \(F(w)=(h_ 0(w)+g(h_ 1(w))+g(h_ 2(w))) \bmod m\) is a MPHF, where \(m\) is a number of input words. The algorithm involves generation of random bipartite graphs and runs in linear time. The hash function generated is represented by using \(2m+O(1)\) memory words of log \(m\) bits each. The empirical observations show that the algorithm runs very fast in practice.
random bipartite graphs, Analysis of algorithms and problem complexity, pseudorandom functions, Theory of data, perfect hash functions
random bipartite graphs, Analysis of algorithms and problem complexity, pseudorandom functions, Theory of data, perfect hash functions
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