Median Selection Requires $(2+\epsilon)n$ Comparisons

  • Authors:
  • Dorit Dor;Uri Zwick

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Discrete Mathematics
  • Year:
  • 2001

Quantified Score

Hi-index 0.00

Visualization

Abstract

Improving a long standing result of Bent and John [Proceedings of the 17th Annual ACM Symposium on Theory of Computing, Providence, RI, 1985, pp. 213--216], and extending a recent result of Dor, Håstad, Ulfberg, and Zwick [ SIAM J. Discrete Math., 14 (2001), pp. 299--311], we obtain a $(2{+}\epsilon)n$ lower bound (for some fixed $\epsilon0$) on the number of comparisons required, in the worst case, for selecting the median of n elements.