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Tree Algorithms - Data Structure Notes in English Notes

Quick Summary & Key Takeaways

• Subject Focus: Data Structure Notes in English (BCA / B.Tech Syllabus)

• Core Topic: Tree Algorithms - General Topics

• Overview: Tree Algorithms in Data Structures: 1. Inserting a Node (Insertion in Tree): The process of adding a new node to a tree is called insertion. This opera...

• Key Concepts: Tree algorithms, BFS DFS height calculation Hindi, Balancing algorithms tree,Tree algorithms, BFS DFS height calculation, Balancing algorithms tree

Tree Algorithms in Data Structures:

1. Inserting a Node (Insertion in Tree):

The process of adding a new node to a tree is called insertion. This operation can be performed differently in a Binary Search Tree and other tree structures.

Insertion Algorithm (in Binary Search Tree):

Start from the root node.
If the new data is smaller than the root, go to the left subtree. If the left subtree is empty, insert the new node there.
If the new data is larger than the root, go to the right subtree. If the right subtree is empty, insert the new node there.
Repeat this process until the correct spot is found.

2. Deleting a Node (Deletion in Tree):

Removing a node from a tree is a complex operation, as it can be divided into several cases:

If the node is a leaf, it can be directly removed.
If the node has only one child, connect that child to the parent.
If the node has two children, replace the node with its inorder successor or predecessor, and then delete that node.

3. Searching in a Tree:

This is the process of finding a given value in a tree. In a Binary Search Tree, the search operation can be completed in logarithmic time because the data is already ordered.

Search Algorithm (in Binary Search Tree): `Function Search(Node root, int key)` recursively searches the left or right subtree based on whether the key is smaller or larger than the current node's data.

4. Tree Traversal:

The process of visiting all the nodes of a tree in order. The main types are:

Inorder Traversal: Left subtree, Root, then Right subtree.
Preorder Traversal: Root, Left subtree, then Right subtree.
Postorder Traversal: Left subtree, Right subtree, then Root.

5. Height Calculation (Height of Tree):

The height of a tree represents the longest path from the root to a leaf node.

Height Algorithm: `Function Height(Node root)` recursively calculates the height of the left and right subtrees and returns the maximum of the two plus one.

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Tree Algorithms in Data Structures: 1.

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Tree Algorithms

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Tree Algorithms in Data Structures:

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