Binary Search Tree Operations

Binary Search Tree (BST)

Binary Search Tree (BST)

A type of binary tree that maintains a specific ordering property where the left child has a value less than the parent node and the right child has a value greater.

Searching in BST

The process of comparing a target value with the values in nodes and traversing the tree to locate the target.

Insertion in BST

The operation of adding a new node to a binary search tree by finding the appropriate position based on the node's value.

Deletion in BST

The operation of removing a node from a binary search tree, which can involve three cases: leaf nodes, nodes with one child, and nodes with two children.

AVL Trees

Self-balancing binary search trees that maintain balance by ensuring the heights of left and right subtrees differ by at most one.

Tree Balancing and Self-Balancing Binary Search Trees

In certain scenarios, binary search trees can become unbalanced, leading to inefficient search and traversal operations. Tree balancing techniques aim to maintain a balanced structure in binary search trees to ensure optimal performance

Red-Black Trees

Self-balancing binary search trees that use color properties (red or black) to keep the tree approximately balanced.

Null child

A child pointer in a binary search tree that does not point to any node, indicating an empty position for insertion.

Range queries in BST

Operations that retrieve all values within a specified range by using in-order traversal.

Efficient searching

The ability of a binary search tree to quickly locate values in a sorted set of data.

Database indexing

The technique of organizing data efficiently in a database using binary search trees for faster search operations.

Auto-complete functionality

A feature that allows users to find and suggest words or phrases using binary search trees.

Implementing associative arrays

Binary search trees can be used to implement key-value storage structures.