Binary trees are a fundamental data structure used in computer science. In this section, we'll explore some common operations and concepts related to binary trees.

Common Operations

  • Insertion: Adding a new node to the tree while maintaining the binary tree properties.
  • Traversal: Visiting all nodes in the tree. There are three types of traversals: Inorder, Preorder, and Postorder.
  • Deletion: Removing a node from the tree.
  • Search: Finding a value in the tree.

Traversal Types

  • Inorder: Visit the left subtree, the root, then the right subtree.
    • Example: (left, root, right)
  • Preorder: Visit the root, then the left subtree, and finally the right subtree.
    • Example: (root, left, right)
  • Postorder: Visit the left subtree, the right subtree, and finally the root.
    • Example: (left, right, root)

Example Code

Here is an example of a binary tree insertion method in Python:

class TreeNode:
    def __init__(self, value=0, left=None, right=None):
        self.value = value
        self.left = left
        self.right = right

def insert(root, value):
    if root is None:
        return TreeNode(value)
    if value < root.value:
        root.left = insert(root.left, value)
    else:
        root.right = insert(root.right, value)
    return root

For more detailed explanations and examples, check out our Data Structures and Algorithms section.

To visualize a binary tree, you might want to see some diagrams. Here is a simple image to get you started:

Binary Tree Diagram