BSTNode Root

In computer science, BSTNode Root is a term used in reference to Binary Search Trees (BSTs). A Binary Search Tree is a type of data structure that allows quick lookup, insertion and deletion operations. It is also known as ordered or sorted binary trees. In a Binary Search Tree, the left subtree of a node contains only nodes with keys lesser than the node's key, while the right subtree of a node contains only nodes with keys greater than the node's key.

Structure of BSTNode Root

A Binary Search Tree is made up of multiple nodes that are connected through pointers. Each node has at most two child nodes: a left child node and a right child node. The node that has no parent node is called the root of the tree.

The structure of the BSTNode Root is simple yet important. It contains three fields:

typedef struct BSTNode {
    int data;
    struct BSTNode *left;
    struct BSTNode *right;
} BSTNode;

• 'data' field which stores the data associated with the node.
• 'left' field which points to the left child node.
• 'right' field which points to the right child node.

Traversal of BSTNode Root

Traversal is a process of visiting nodes in a tree. There are three types of traversal methods in BST:

In-order Traversal

The in-order traversal involves visiting the left subtree, then the root, and finally the right subtree.

void inOrderTraversal(BSTNode *root) {
    if(root == NULL)
        return;
    inOrderTraversal(root->left);
    printf("%d ", root->data);
    inOrderTraversal(root->right);
}

Pre-order Traversal

The pre-order traversal involves visiting the root, then the left subtree, and finally the right subtree.

void preOrderTraversal(BSTNode *root) {
    if(root == NULL)
        return;
    printf("%d ", root->data);
    preOrderTraversal(root->left);
    preOrderTraversal(root->right);
}

Post-order Traversal

The post-order traversal involves visiting the left subtree, then the right subtree, and finally the root.

void postOrderTraversal(BSTNode *root) {
    if(root == NULL)
        return;
    postOrderTraversal(root->left);
    postOrderTraversal(root->right);
    printf("%d ", root->data);
}

Conclusion

In conclusion, BSTNode Root is an important part of a Binary Search Tree data structure. It contains three fields which include the data, left, and right fields. These fields are used to connect each node of the Binary Search Tree. There are different traversal methods that can be implemented in the BST with the most common ones being in-order, pre-order, and post-order traversal.