Overview of Trie (Prefix Tree) Data Structure
A Trie (also known as a prefix tree or dictionary tree) is an efficient data structure used for string operations such as insertion, deletion, and searching. Each node represents a character, and the path from the root to a leaf node represents a string.
Key characteristics:
- Time Complexity: Search, insert, and delete operations take O(m) time, where m is the length of the string, regardless of the total number of strings stored.
- Space Complexity: High, as each node typically stores a pointer array for child nodes. This can be optimized using Radix Trees or Ternary Search Trees.
- Primary Use Cases: Auto-completion, spell checkers, IP routing (longest prefix match), word frequency counting, and dictionary lookups.