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Tree Data Structures Visualization

Master hierarchical data structures with interactive visualizations. Understand how trees organize data, enable efficient operations, and form the foundation for advanced algorithms and data management.

Total Algorithms

6

Tree Types

5

Difficulty Range

Easy - Hard

Key Concepts

Hierarchical Structure

Binary Tree

Easy

Basic tree structure with at most two children per node

Time Complexity:O(n)
Space Complexity:O(h)
Tree BasicsParent-ChildLeaf NodesTree Height
Explore Visualization

Binary Search Tree

Medium

Ordered binary tree for efficient searching and sorting

Time Complexity:O(log n)
Space Complexity:O(h)
BST PropertyIn-order TraversalSearch Efficiency
Explore Visualization

AVL Tree

Hard

Self-balancing binary search tree with height balance

Time Complexity:O(log n)
Space Complexity:O(log n)
Self-BalancingRotationsBalance Factor
Explore Visualization

Heap

Medium

Complete binary tree with heap property for priority queues

Time Complexity:O(log n)
Space Complexity:O(1)
Complete TreeHeap PropertyPriority Queue
Explore Visualization

Tree Traversals

Easy

Different algorithms to visit and process tree nodes

Time Complexity:O(n)
Space Complexity:O(h)
InorderPreorderPostorderLevel Order
Explore Visualization

Red-Black Tree

Hard

Self-balancing binary search tree with color-coding

Time Complexity:O(log n)
Space Complexity:O(log n)
Color CodingRed-Black PropertiesBalanced Height
Explore Visualization

🌳Tree Terminology

  • • Root: Top node with no parent
  • • Leaf: Node with no children
  • • Height: Longest path from root to leaf
  • • Depth: Distance from root to a node
  • • Subtree: Tree formed by a node and its descendants

⚡Common Operations

  • • Insert: Add new nodes while maintaining structure
  • • Delete: Remove nodes and reorganize tree
  • • Search: Find specific values efficiently
  • • Traverse: Visit all nodes in specific order
  • • Balance: Maintain optimal tree shape

📚 Recommended Learning Path

1

Master Binary Tree Basics

Learn fundamental tree concepts, terminology, and basic operations.

2

Explore Tree Traversals

Understand different ways to visit nodes: inorder, preorder, postorder, level-order.

3

Learn Binary Search Trees

Master ordered trees and their search, insertion, and deletion operations.

4

Understand Heaps

Explore complete trees with heap property for priority queue implementations.

5

Advanced: Self-Balancing Trees

Master AVL and Red-Black trees for guaranteed logarithmic operations.