A trade-off for worst-case efficient dictionaries

  • Authors:
  • Rasmus Pagh

  • Affiliations:
  • Department of Computer Science University of Aarhus, DK-8000 Århus C, Denmark

  • Venue:
  • Nordic Journal of Computing
  • Year:
  • 2000

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Abstract

We consider dynamic dictionaries over the universe U = {0, 1}w on a unit-cost RAM with word size w and a standard instruction set, and present a linear space deterministic dictionary accommodating membership queries in time (log log n)O(1) and updates in time (log n)O(1), where n is the size of the set stored. Previous solutions either had query time (log n)Ω(1) or update time 2ω(√log n) in the worst case.