Sunday, 25 March 2018

Complete binary tree in binary tree data structures

Complete binary tree in binary tree data structures


Complete binary tree

A binary tree in which all the levels except the last one are completely filled with nodes and the last level is filled with nodes from left to right.

Properties:

  • A complete binary tree is full and strict binary tree up to level h-1.
  • A complete but non-strict binary tree with n leaves has 2n nodes (internal + external).
  • A complete strict binary tree with n leaves has 2n-1 nodes (internal + external).
The following figure shows binary trees that are complete and not complete.

Complete binary trees. (e) is not complete binary tree
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