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Showing posts with label Types of Binary Trees. Show all posts
Showing posts with label Types of Binary Trees. Show all posts

Wednesday, December 17, 2014

Types of Binary Trees?What are the different type of Binary Tree?

Types of Binary  Trees

1. Strictly Binary Tree-

  • If Every non leaf node in binary tree has non empty left and right subtrees ,the tree term as strictly binary tree .


Important Point for Strictly Binary Tree-

  •  Every non-leaf node has degree 2
  • A strictly binary tree with n leaves has (2n -1 ) nodes 
  • Thus strictly binary tree has odd number of nodes 

2. Complete Binary Tree -


  • A complete Binary tree of  depth  d is the strictly binary tree whose all leave are at level d 
  • A Complete Binary Tree of depth d is the binary tree that contains exactly  2^l (two ki power l nodes )
  • Issi prakar kisi bhi complete Binary tree (CBT)  mein  total no of nodes (2^d+1 -1) where d is depth of tree 
  • Isse ek conclusion ye nikalta hai ki complete Binary Tree hamesha Strict Binary tree hogi but strict binary tree hamesha  complete binary tree (CBT)  nhi hogi
  • Jaisa ki hum jante hai CBT Hamesha Strict Binary tree hogi tab agar iske n leaves honge to isme total no of nodes 2n-1 honge 
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