Randomness Preserving Deletions on Special Binary Search Trees

  • Authors:
  • Michaela Heyer

  • Affiliations:
  • Department of Computer Science, National University of Ireland, Cork, Ireland

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2009

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Abstract

Deletions in binary search trees are difficult to analyse as they are not randomness preserving. We will present a new kind of tree which differs slightly from the standard binary search tree. It will be referred to as an ordered binary search tree as it stores a history element in its nodes, which provides information about the order in which the nodes were inserted. Using this extra information it is possible to design a new randomness preserving and order preserving deletion algorithm.