Binary Trees – Introduction
📘 Data Structure and Algorithm
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📅 Nov 05, 2025
⏱ Estimated reading time: 2 min
Binary Trees – Introduction
A binary tree is a non-linear hierarchical data structure where each node has at most two children: a left child and a right child. It is one of the most important structures in computer science because it forms the basis for many advanced data structures like heaps, binary search trees, and syntax trees.
Structure of a Binary Tree
Each node contains three parts:
- Data – the value stored in the node
- Left pointer – points to the left child node
- Right pointer – points to the right child node
// Example (C++ structure)
struct Node {
int data;
Node* left;
Node* right;
};
Types of Binary Trees
- Full Binary Tree: Every node has 0 or 2 children.
- Complete Binary Tree: All levels are filled except possibly the last, which is filled from left to right.
- Perfect Binary Tree: All internal nodes have two children, and all leaf nodes are at the same level.
- Skewed Binary Tree: All nodes have only one child (left or right).
Applications of Binary Trees
- Used in binary search trees for fast searching.
- Used in expression trees (compiler design).
- Used in heap structures for priority queues.
- Used in hierarchical data representations (XML, JSON parsing).
Conclusion
Binary trees provide the foundation for many advanced data structures. Understanding their structure and properties is essential for mastering algorithms related to searching, sorting, and graph traversal.
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