A Tight Lower Bound for Online Monotonic List Labeling

  • Authors:
  • Paul F. Dietz;Joel I. Seiferas;Ju Zhang

  • Affiliations:
  • -;-;-

  • Venue:
  • SIAM Journal on Discrete Mathematics
  • Year:
  • 2005

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Abstract

Maintaining a monotonic labeling of an ordered list during the insertion of n items requires $\Omega$(n log n) individual relabelings, in the worst case, if the number of usable labels is only polynomial in n. This follows from a lower bound for a new problem, prefix bucketing.