What is a binary search tree BST explain it in detail?

A Binary Search Tree (BST) is a tree in which all the nodes follow the below-mentioned properties − The value of the key of the left sub-tree is less than the value of its parent (root) node's key. The value of the key of the right sub-tree is greater than or equal to the value of its parent (root) node's key.
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What is binary search tree explain the different operation on BST?

A binary search tree (BST) adds these two characteristics: Each node has a maximum of up to two children. For each node, the values of its left descendent nodes are less than that of the current node, which in turn is less than the right descendent nodes (if any).
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How do you define a binary search tree?

Binary Search Tree is a node-based binary tree data structure which has the following properties:
  1. The left subtree of a node contains only nodes with keys lesser than the node's key.
  2. The right subtree of a node contains only nodes with keys greater than the node's key.
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What is binary search tree write an algorithm for searching a node in binary search tree?

A binary search tree follows some order to arrange the elements. In a Binary search tree, the value of left node must be smaller than the parent node, and the value of right node must be greater than the parent node. This rule is applied recursively to the left and right subtrees of the root.
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What is binary search tree in C?

A Binary Search Tree(BST) is a Binary Tree in which every element of a left sub-tree is less than the root node, and every element in the right sub-tree is greater than it. This definition applies to every node in the tree, starting from the root node.
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Binary Search Trees (BST) Explained in Animated Demo



What is binary tree explain with example?

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).
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What is BST and explain it with a real life example?

A Self-Balancing Binary Search Tree is used to maintain sorted stream of data. For example, suppose we are getting online orders placed and we want to maintain the live data (in RAM) in sorted order of prices. For example, we wish to know number of items purchased at cost below a given cost at any moment.
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What is binary search tree insertion and deletion in BST codes?

Binary Search Tree Operations are- Binary Search Tree Insertion, Binary Search Tree Deletion and Binary Search Tree Search. BST Deletion involves deleting a node from BST. BST Insertion involves inserting a node in BST. BST Search involves searching a node in BST.
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What are the types of binary tree?

Types of Binary Tree
  • Full Binary Tree. A full Binary tree is a special type of binary tree in which every parent node/internal node has either two or no children. ...
  • Perfect Binary Tree. ...
  • Complete Binary Tree. ...
  • Degenerate or Pathological Tree. ...
  • Skewed Binary Tree. ...
  • Balanced Binary Tree.
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What are the applications of binary search tree?

Applications of BST
  • BSTs are used for indexing and multi-level indexing.
  • They are also helpful to implement various searching algorithms.
  • It is helpful in maintaining a sorted stream of data.
  • TreeMap and TreeSet data structures are internally implemented using self-balancing BSTs.
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What is the full binary tree?

A full Binary tree is a special type of binary tree in which every parent node/internal node has either two or no children. It is also known as a proper binary tree. Full Binary Tree.
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What are the rules of deletion in BST explain with examples?

When we delete a node, three possibilities arise. 1) Node to be deleted is the leaf: Simply remove from the tree. 3) Node to be deleted has two children: Find inorder successor of the node. Copy contents of the inorder successor to the node and delete the inorder successor.
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What is binary tree explain with example write structure of node in binary tree?

A binary tree is a tree-type non-linear data structure with a maximum of two children for each parent. Every node in a binary tree has a left and right reference along with the data element. The node at the top of the hierarchy of a tree is called the root node. The nodes that hold other sub-nodes are the parent nodes.
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What are the advantages of binary search tree?

Advantages of Binary Search Tree:
  • BST is fast in insertion and deletion when balanced.
  • BST is efficient.
  • We can also do range queries – find keys between N and M (N <= M).
  • BST code is simple as compared to other data structures.
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What are limitations of binary search tree?

Binary Search Algorithm Disadvantages-
  • It employs recursive approach which requires more stack space.
  • Programming binary search algorithm is error prone and difficult.
  • The interaction of binary search with memory hierarchy i.e. caching is poor.
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