Introduction to Trees
Trees are a fundamental data structure in computer science, used to model hierarchical relationships. They are employed in various algorithms and have properties that make them ideal for storing data with a parent-child hierarchy.
Types of Trees
- Binary Tree: A tree where each node has up to two children.
- Binary Search Tree (BST): A binary tree with the additional property that the left child is less than the parent, and the right child is greater.
- AVL Tree: A self-balancing binary search tree.
- Red-Black Tree: A balanced binary search tree with extra properties to keep the tree approximately balanced.
Common Tree Algorithms
- Tree Traversal (in-order, pre-order, post-order)
- Insertion and Deletion in Binary Search Trees
- Balancing AVL Trees
- Path Finding in Trees
Why Trees Matter 🌟
Trees are not only essential for computational theory but also play a significant role in databases, file systems, and artificial intelligence. Understanding trees is key to grasping more complex data structures and algorithms.