Sunday, March 25, 2018

Full binary tree in binary tree data structure

Full binary tree in binary tree data structure


Full binary tree

A binary tree in which every node other than the leaves has exactly two children is called full binary tree. It also referred as perfect binary tree.

Properties:

  • A full binary tree of height h has exactly (2h+1 – 1) nodes (internal + external).
  • A full binary tree of height h has exactly 2h leaves (external nodes).
  • A full binary tree is also a strict binary tree.

The following figure shows some of the binary trees that are full binary trees;

Full binary trees. (a) and (b) are full binary tree. (c) is not full binary tree
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