Parallel dictionaries on 2–3 trees

  • W. Paul
  • U. Vishkin
  • H. Wagener
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 154)


Our model of computation is a parallel computer with k synchronized processors P1,...,Pk sharing a common random access storage, where simultaneous access to the same storage location by two or more processors is not allowed. Suppose a 2–3 tree T with n leaves is implemented in the storage, suppose a1,...,ak are data that may or may not be stored in the leaves, and for all i, 1⩽i⩽k, processor Pi knows ai. We show how to search for a1,..., ak in the tree T, how to insert these data into the tree and how to delete them from the tree in O(log n+log k) steps.


Simple Algorithm Sequential Algorithm Side Tree Insertion Algorithm Simultaneous Access 
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

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • W. Paul
    • 1
  • U. Vishkin
    • 2
  • H. Wagener
    • 3
  1. 1.IBM Research LaboratorySan Jose
  2. 2.Courant Institute of Mathematical SciencesNew York UniversityNew York
  3. 3.Technische Universitaet BerlinInstitut fuer Software and Theoretische InformatikBerlin 10West Germany

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