Introduction to Trees
Tree terminology: nodes, edges, root, leaves, height, depth.
Binary Trees
Properties and types.
Traversal methods: preorder, inorder, postorder.
Binary Search Trees (BST)
Insertion, deletion, search operations.
Use cases and limitations.
Balanced Trees
AVL Trees
Rotations for balancing.
Complexity analysis.
Red-Black Trees
Heaps
Binary heaps: min-heap and max-heap.
Heap operations and heap sort.
Priority queues implementation.
Threaded Trees
Concept and advantages.
Complexity Analysis of Tree Operations
Time complexity of search, insert, delete.
Applications of Trees and Heaps
Use in databases, file systems, and memory management.