Given a Binary Tree, find the density of it by doing one traversal of it.
The density of binary tree is defined as:
Density of Binary Tree = Size / Height
Input : Root of following tree 10 / \ 20 30 Output : 1.5 Height of given tree = 2 Size of given tree = 3 Input : Root of the following tree 10 / 20 / 30 Output : 1 Height of given tree = 3 Size of given tree = 3
The size and height of the tree can be found in single traversal using level order traversal.
To calculate the height of the binary tree the idea is to use a “NULL” pointer as a separator between two levels. Whenever “NULL” occurs during the traversal, height is incremented.
To calculate the size of the binary tree, increment the counter for every new node encountered during the level order traversal.
Finally, use the above formula to calculate the density of the Binary Tree.
Below is the implementation of the above approach:
Time Complexity : O(N)
- Print a Binary Tree in Vertical Order | Set 3 (Using Level Order Traversal)
- Flatten Binary Tree in order of Level Order Traversal
- Given level order traversal of a Binary Tree, check if the Tree is a Min-Heap
- Perfect Binary Tree Specific Level Order Traversal | Set 2
- Perfect Binary Tree Specific Level Order Traversal
- Calculate height of Binary Tree using Inorder and Level Order Traversal
- Check if the given array can represent Level Order Traversal of Binary Search Tree
- Density of Binary Tree in One Traversal
- Insertion in n-ary tree in given order and Level order traversal
- Level Order Tree Traversal
- Zig Zag Level order traversal of a tree using single queue
- General Tree (Each node can have arbitrary number of children) Level Order Traversal
- Flatten binary tree in order of post-order traversal
- Insertion in a Binary Tree in level order
- Level Order Predecessor of a node in Binary Tree
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