Contents
How do you find maximum nodes?
In Binary Search Tree, we can find maximum by traversing right pointers until we reach the rightmost node….So the idea is to traverse the given tree and for every node return maximum of 3 values.
- Node’s data.
- Maximum in node’s left subtree.
- Maximum in node’s right subtree.
What is the maximum number of nodes?
If binary tree has height h, maximum number of nodes will be when all levels are completely full. Total number of nodes will be 2^0 + 2^1 + …. 2^h = 2^(h+1)-1.
How do you find the maximum value of BST?
The maximum value in a Binary Search Tree can be found by:
- Start at the root node.
- Follow the right child in each branch until you reach a node that does not have a right child. The value at that node is the maximum value in the Binary Subtree.
How do you find minimum and maximum in BST?
For Finding Minimum value in Binary search tree.
- start from root i.e 8.
- As left of root is not null go to left of root i.e 3.
- As left of 3 is not null go to left of 3 i.e. 1.
- Now as the left of 1 is null therefore 1 is the minimum element.
- start from root i.e 8.
- As right of root is not null go to right of root i.e 10.
What is a perfect tree?
A perfect binary tree is a binary tree in which all interior nodes have two children and all leaves have the same depth or same level. An example of a perfect binary tree is the (non-incestuous) ancestry chart of a person to a given depth, as each person has exactly two biological parents (one mother and one father).
What is level of node B *?
Every node in a B-Tree except the root node and the leaf node contain at least m/2 children. The root nodes must have at least 2 nodes. All leaf nodes must be at the same level.
How many nodes does a full binary?
A full binary tree with n non leaf nodes contain 2n+1 nodes. In a binary tree each non-leaf node provides two edges. The full tree contains 2*n nodes. Each non-leaf node connected to an ancestor consumes one edge, which is tree of all nodes except the root node of the tree.
How many children can have a binary tree node?
2 children
A tree whose elements have at most 2 children is called a binary tree. Since each element in a binary tree can have only 2 children, we typically name them the left and right child. A Binary Tree node contains following parts.
Can binary tree have one child?
Given a binary tree, the task is to print all the nodes having exactly one child. Print “-1” if no such node exists. Input: 9 / \ 7 8 / \ 4 3 Output: -1 Explanation: There is no node having exactly one child in the binary tree.
What is degree of node in tree?
Degree of a Node : The degree of a node of a tree is the number of subtrees having this node as a root. In other words, the degree is the number of descendants of a node. If the degree is zero, it is called a terminal or leaf node of a tree.
How do you find the height of a node?
Recursion:
- Take a variable called height =0.
- Search for that given node in the tree using recursion.
- Each time you left or right , increase the height by 1.
- Once you found the given node, return the height.
- If till the end you wont find the node, return 0.