Complexity Analysis of Trie Data Structure

Trie Data Structure | Insert and Search

The Trie data structure is a tree-like data structure used for storing a dynamic set of strings. It is commonly used for efficient retrieval and storage of keys in a large dataset. The structure supports operations such as insertion, search, and deletion of keys, making it a valuable tool in fields like computer science and information retrieval. In this article we are going to explore insertion and search operation in Trie Data Structure.

Trie data structure

Table of Content

  • Representation of of Trie Node
  • Insertion in Trie Data Structure
  • Searching in Trie Data Structure
  • Implementation of Insert and Search Operations in Trie
  • Complexity Analysis of Trie Data Structure

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Representation of of Trie Node:

A Trie data structure consists of nodes connected by edges. Each node represents a character or a part of a string. The root node, the starting point of the Trie, represents an empty string. Each edge emanating from a node signifies a specific character. The path from the root to a node represents the prefix of a string stored in the Trie....

Insertion in Trie Data Structure:

Let’s walk through the process of inserting the words into a Trie data structure. We have already cover the basics of Trie and its node structure....

Searching in Trie Data Structure:

Searching for a key in Trie data structure is similar to its insert operation. However, It only compares the characters and moves down. The search can terminate due to the end of a string or lack of key in the trie....

Implementation of Insert and Search Operations in Trie Data Structure:

Steps-by-step approach:...

Complexity Analysis of Trie Data Structure:

OperationTime ComplexityAuxiliary SpaceInsertionO(n)O(n*m)SearchingO(n)O(1)...