Set Disjointness

Given sets S1,,SN[U]S_1, \dots, S_N\subseteq [U] each of size at most ss and a set of qq queries Q[N]2Q\subseteq [N]^2, report for each query (i,j)Q(i, j)\in Q whether SiSj=S_i\cap S_j = \emptyset.

Parameters

  • U|U|: size of universe
  • NN: number of sets
  • ss: bound on size of each set
  • qq: number of queries

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Filters

Computational Model

Randomization

Approximation

Algorithms Table

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Reductions Table

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Other relevant algorithms

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