Query costs in HB(1) trees versus 2–3 trees

  • Ahmed S. Zaki
  • Jean Loup Baer


Query costs in random AVL trees are compared to those in random 2–3 trees. Both data structures are assumed to reside in main storage. Costs are calculated in terms of the number of node visits and key comparisons required to find a match or no match for a given key. The comparison is based upon theoretical concepts and implementation dependent considerations; e.g., data and instruction fetch. It is shown that if the cost of a key comparison is greater than or equal to the cost of a node access, then AVL trees are more advantageous.

Key words

Binary search trees AVL trees 2–3 trees tree height dense and sparse nodes key comparison node visit 


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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • Ahmed S. Zaki
    • 1
  • Jean Loup Baer
    • 2
  1. 1.College of William and MaryUSA
  2. 2.University of WashingtonUSA

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