Preserving order in a forest in less than logarithmic time

  • Authors:
  • P. van Emde Boas

  • Affiliations:
  • -

  • Venue:
  • SFCS '75 Proceedings of the 16th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1975

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Abstract

We present a data structure, based upon a stratified binary tree, which enables us to manipulate on-line a priority queue whose priorities are selected from the interval 1...n, with an average and worst case processing time of O(log log n) per instruction. The structure is used to obtain a mergeable heap whose time requirements are about as good.