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Abstract

Here we consider trees that can support basic operations (MEMBER, INSERT, DELETE, MIN, MAX, JOIN, SPLIT, etc.) in O(log(n)) worst case time per operation. A naive approach would be to use something like a full k-ary tree as was used for heaps. Although for just the operations INSERT and DELETEMIN this approach worked to implement priority queues, for a wider range of operations, we need a type of tree with a reasonable degree of flexibility; that is, it must be possible to represent the data with trees of many shapes. The idea is to limit the set of possible tree shapes to ones that have height O(log(n)), but with enough flexibility to make –adjustment— of the tree relatively easy after an operation disturbs its balance.

Keywords

Data Item Black Vertex Binary Search Tree Left Child Complete Binary Tree 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© J.A. Storer 2002

Authors and Affiliations

  • James A. Storer
    • 1
  1. 1.Department of Computer ScienceBrandeis UniversityWalthamUSA

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