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How can a binary search tree insert a new node at the root position?
To insert a new node at the root position in a binary search tree, the tree must be restructured by following these steps: Create a new node with the desired value. Compare the value of the new node with the value of the current root node. If the new node's value is less than the root node's value, set the left child of the root node to be the current root node, and set the left child of the new node to be the previous left child of the root node. If the new node's value is greater than the root node's value, set the right child of the root node to be the current root node, and set the right child of the new node to be the previous right child of the root node. Set the new node as the new root of the binary search tree. By following these steps, a new node can be inserted at the root position of a binary search tree while maintaining the binary search tree properties.
What is binary search in data structure using c?
a tree which has atmost two nodes is called binary tree binary search tree is a binary tree which satisfies the following 1.every node in tree must be distinct 2.values in right subtree > value at root 3.values in left subtree < value at root 4.left,right subtrees must be binary search trees
What is the algorithm for searching an element in a binary tree?
bool SearchElementInBST(struct tree* root, int element){if(NULL == root){return false;}else if (root->value > element){return SearchElementInBST(root->left,element);}else if (root->value < element){return SearchElementInBST(root->right, element);}return true;}
What is the height of a binary search tree?
The height of a binary search tree is the maximum number of edges from the root node to a leaf node. It represents the longest path from the root to a leaf in the tree.
How many types of binary tree?
A binary tree is type of tree with finite number of elements and is divided into three main parts. the first part is called root of the tree and itself binary tree which exists towards left and right of the tree. There are a no. of binary trees and these are as follows : 1) rooted binary tree 2) full binary tree 3) perfect binary tree 4) complete binary tree 5) balanced binary tree 6) rooted complete binary tree
What is the difference between extended binary tree and a binary search tree?
A strictly binary tree is one where every node other than the leaves has exactly 2 child nodes. Such trees are also known as 2-trees or full binary trees. An extended binary tree is a tree that has been transformed into a full binary tree. This transformation is achieved by inserting special "external" nodes such that every "internal" node has exactly two children.
What are the properties of binary tree?
A binary tree of n elements has n-1 edgesA binary tree of height h has at least h and at most 2h - 1 elementsThe height of a binary tree with n elements is at most n and at least ?log2 (n+1)?
explain the process of converting tree to binary tree with example?
A binary tree is a type of tree data structure in which each node has at most two children. To convert a tree to a binary tree, we can follow these steps: Choose a root node for the binary tree. This will be the node at the top of the tree, and all other nodes will be connected to it. For each child node of the root node, add it as a left or right child of the root node, depending on its position relative to the root node. For each child node of the root node, repeat step 2 for its child nodes, adding them as left or right children of the appropriate parent node.
Mirror image of binary search tree?
mirror image of the binary tree is nothing but it is the term used to swap the left and right subtrees of the bst... program or function of mirror image void mirror(tree *root) {if (root==NULL) return; else {temp=root->left; root->left=root->right; root->right=temp; } }
How do you calculate the height of a binary tree?
To calculate the height of a binary tree, you can use a recursive algorithm that traverses the tree and keeps track of the height at each level. The height of a binary tree is the maximum depth of the tree, which is the longest path from the root to a leaf node.
What is the process of traversing a binary tree level by level, starting from the root node, known as?
The process of traversing a binary tree level by level, starting from the root node, is known as breadth-first search (BFS).
What is strictly binary tree?
If every non-terminal node (any node except root node whose degree is not zero) in a binary tree consists of non-empty left and right subtree, then such a tree is called strictly binary tree.
