Computing integrated costs of sequences of operations with application to dictionaries

  • Authors:
  • P. Flajolet;J. Françon;J. Vuillemin

  • Affiliations:
  • -;-;-

  • Venue:
  • STOC '79 Proceedings of the eleventh annual ACM symposium on Theory of computing
  • Year:
  • 1979

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Abstract

We introduce a notion of integrated cost of a dictionary, as average cost of sequences of search, insert and delete operations. We express generating functions of these sequences in terms of continued fractions; from this we derive an explicit integral expression of integrated costs for three common representations of dictionaries.