What are some examples of binary trees?

Can you give me some examples of binary trees?

Sure! A binary tree is a data structure where each node has at most two children. Examples include:

1. Full Binary Tree: Every node has 0 or 2 children.
2. Complete Binary Tree: All levels are fully filled except possibly the last one.
3. Perfect Binary Tree: All internal nodes have two children and all leaves are at the same level.

What is a binary search tree?

A binary search tree (BST) is a binary tree where the left child of a node contains only nodes with values less than the parent node, and the right child only nodes with values greater than the parent node. This property makes searching for values efficient.

Can you explain how to traverse a binary tree?

Certainly! There are three common ways to traverse a binary tree:

1. In-order Traversal: Visit the left subtree, the node, and then the right subtree.
2. Pre-order Traversal: Visit the node, the left subtree, and then the right subtree.
3. Post-order Traversal: Visit the left subtree, the right subtree, and then the node.

What are some real-world applications of binary trees?

Binary trees are used in various applications, such as:

1. Storing hierarchical data like file systems.
2. Implementing search algorithms in databases.
3. Creating expression trees for parsing mathematical expressions.