On the mean weight balance factor of binary trees

  • A. K. Pal
  • A. Bagchi
Session 7 Algorithms And Complexity
Part of the Lecture Notes in Computer Science book series (LNCS, volume 181)


A new performance measure for binary trees, called the mean weight balance factor (MWBF), is introduced. For any binary tree T, 0<MWBF (T)≤1. Very unbalanced trees have MWBF close to 0, while complete binary trees have MWBF close to 1. The expected MWBF of a binary tree under random insertions is derived. It is shown that an AVL tree has an MWBF of atleast 0.73. Bounds are also obtained on the expected MWBF of an AVL tree under random insertions.


Binary Tree External Node Successful Search Random Insertion Complete Binary Tree 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • A. K. Pal
    • 1
  • A. Bagchi
    • 1
  1. 1.Indian Institute of Management CalcuttaCalcuttaIndia

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