2. Data Structures and Algorithms

2. Data Structures and Algorithms

2.1 Fundamentals of Data Structures

  • Fundamental Concepts of Data Structures

  • Abstract Data Types (ADT)

  • Classification of Data Structures


2.2 Linear Data Structures

  • Stacks

  • Queues

  • Lists

  • Linked Lists

  • Priority Queues


2.3 Tree Data Structures

  • General Trees

  • Binary Trees

  • Tree Traversals (Preorder, Inorder, Postorder)

  • Tree Implementations

  • Binary Search Trees (BST)

  • Balanced Search Trees

    • AVL Trees

    • 2–3 Trees

    • Red–Black Trees


2.4 Indexing and Advanced Tree Structures

  • Indexing Methods

  • Hashing

  • Hash Trees

  • Suffix Trees


2.5 Algorithm Complexity Analysis

  • Time Complexity

  • Space Complexity

  • Big-O Notation


2.6 Algorithm Analysis Techniques

  • Analysis of Simple Recursive Algorithms

  • Analysis of Non-Recursive Algorithms


2.7 Algorithm Design Techniques

  • Searching Algorithms

  • Merging Algorithms

  • Sorting Algorithms

  • Divide-and-Conquer Techniques

  • Dynamic Programming

  • Greedy Methods

  • Backtracking


2.8 Graph Algorithms

  • Graph Representation

  • Depth-First Search (DFS)

  • Breadth-First Search (BFS)

  • Shortest Path Problems

  • Minimum Spanning Tree Algorithms

  • Directed Acyclic Graphs (DAGs)