Exact distribution of individual displacements in linear probing hashing

  • Authors:
  • Alfredo Viola

  • Affiliations:
  • Universidad de la República, Montevideo, Uruguay

  • Venue:
  • ACM Transactions on Algorithms (TALG)
  • Year:
  • 2005

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Abstract

This paper studies the distribution of individual displacements for the standard and the Robin Hood linear probing hashing algorithms. When the a table of size m has n elements, the distribution of the search cost of a random element is studied for both algorithms. Specifically, exact distributions for fixed m and n are found as well as when the table is α-full, and α strictly smaller than 1. Moreover, for full tables, limit laws for both algorithms are derived.