Finding extrema with unary predicates

  title={Finding extrema with unary predicates},
  author={Feng Gao and Leonidas J. Guibas and David G. Kirkpatrick and William T. Laaser and James B. Saxe},
We consider the problem of determining the maximum and minimum elements of a setX={x1...,x n }, drawn from some finite universeU of real numbers, using only unary predicates of the inputs. It is shown that θ(n+ log¦U¦) unary predicate evaluations are necessary and sufficient, in the worst case. Results are applied to (i) the problem of determining approximate extrema of a set of real numbers, in the same model, and (ii) the multiparty broadcast communication complexity of determining the… CONTINUE READING
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