Almost random graphs with simple hash functions

@inproceedings{Dietzfelbinger2003AlmostRG,
  title={Almost random graphs with simple hash functions},
  author={Martin Dietzfelbinger and Philipp Woelfel},
  booktitle={STOC},
  year={2003}
}
We describe a simple randomized construction for generating pairs of hash functions h1,h2 from a universe U to ranges V = [m] = (0,1,...,m-1) and W = [m] so that for every key set S ⊆ U with n = |S| ≤ m/(1 + ε) the (random) bipartite (multi)graph with node set V ∪ W and edge set (h1(x),h2(x))| x ∈ S exhibits a structure that is essentially random. The construction combines d-wise independent classes for d a relatively small constant with the well-known technique of random offsets. While keeping… CONTINUE READING
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