Tight lower bounds for selection in randomly ordered streams

  • Authors:
  • Amit Chakrabarti;T. S. Jayram;Mihai Pǎtraşcu

  • Affiliations:
  • -;-;-

  • Venue:
  • Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 2008

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Abstract

We show that any algorithm computing the median of a stream presented in random order, using polylog(n) space, requires an optimal Ω (log log n) passes, resolving an open question from the seminal paper on streaming by Munro and Paterson, from FOCS 1978.