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HomeHomework Helpcomputer-scienceBinary Search Trees

Binary Search Trees

A data structure in which each node has at most two children, referred to as the left child and the right child, and each node represents a value, with all values in the left subtree being less than the node's value and all values in the right subtree being greater

intermediate
3 hours
Computer Science
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Overview

Binary Search Trees (BSTs) are a fundamental data structure in computer science, allowing for efficient data management through a hierarchical organization. Each node in a BST has at most two children, with the left child containing values less than the parent and the right child containing values g...

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Key Terms

Node
A basic unit of a data structure, containing data and references to other nodes.

Example: In a BST, each node has a value and pointers to its left and right children.

Leaf
A node that does not have any children.

Example: In a BST, the nodes with no left or right child are leaves.

Height
The length of the longest path from the root to a leaf.

Example: A BST with three levels has a height of 2.

In-order Traversal
A method of visiting nodes in a BST where the left child is visited first, then the node, and finally the right child.

Example: In-order traversal of a BST gives sorted order of elements.

Pre-order Traversal
A method of visiting nodes where the node is visited first, then the left child, and finally the right child.

Example: Pre-order traversal is useful for creating a copy of the tree.

Post-order Traversal
A method of visiting nodes where the left child is visited first, then the right child, and finally the node.

Example: Post-order traversal is used for deleting the tree.

Related Topics

Heaps
A specialized tree-based data structure that satisfies the heap property, useful for priority queues.
intermediate
Graphs
A collection of nodes connected by edges, used to represent networks and relationships.
intermediate
Hash Tables
A data structure that implements an associative array, mapping keys to values for efficient data retrieval.
intermediate

Key Concepts

nodesleft childright childin-order traversal