Data Structure Presentation Topics
UNIT I – Introduction to Data Structures
- Role of Algorithms in Computer Science.
- Flowcharts as Tools for Problem-Solving
- Time Complexity vs. Space Complexity
- Abstract Data Types (ADT) and Their Importance
- Static vs. Dynamic Memory Allocation: Pros and Cons
- Types of Data Structures in Real-World Applications
- Sequential Search: Working and Limitations
- Binary Search: Efficiency in Sorted Data
- Internal vs. External Sorting Techniques
- Sorting Stability and Efficiency: A Comparative Study
- Bubble Sort vs. Selection Sort: Strengths and Weaknesses
- Insertion Sort: Step-by-Step Example
- Quick Sort: Divide and Conquer Strategy
- Heap Sort and Its Real-Life Applications
- Shell Sort: Enhancing Insertion Sort
- General Sorting Concepts: Number of Passes and Efficiency
- Choosing the Best Sorting Algorithm: Case Studies
- Performance Comparison of Sorting Algorithms
- Evolution of Algorithmic Complexity Analysis
- Applications of Sorting in Databases and Search Engines.
UNIT II – Stacks and Queues
- Stack as a Fundamental Data Structure
- Applications of Stacks in Expression Evaluation
- Infix to Prefix Conversion: Step-by-Step Example
- Infix to Postfix Conversion with Practical Examples
- Evaluation of Postfix Expressions using Stack
- Backtracking Algorithms Using Stack (Maze Problems)
- Stack Implementation in Programming Languages
- Real-Life Applications of Stack (Undo/Redo, Recursion)
- Queue: Concept and Applications
- Queue Implementation in Operating Systems (Process Scheduling)
- Circular Queue: Advantages over Linear Queue
- Double-Ended Queue (Deque) and Applications
- Priority Queue in CPU Scheduling
- Queue in Network Traffic Management
- Differences between Stack and Queue
- Comparison of Queue Variants: Circular, Deque, Priority
- Stack Overflow and Underflow Issues
- Queue Overflow and Underflow with Solutions
- Real-Life Applications of Queues (Call Centers, Ticketing)
- Case Study: Queue in Cloud Computing Services.
UNIT III – Linked Lists
- Basics of Singly Linked List and Its Representation
- Traversing and Searching in Linked Lists
- Insertion Operations in Singly Linked Lists
- Deletion Operations in Linked Lists
- Overflow and Underflow in Linked Lists
- Applications of Linked List in Blockchain
- Linked List in Browser History Navigation
- Custom Memory Allocators Using Linked List
- Introduction to Doubly Linked Lists
- Advantages of Doubly Linked List over Singly Linked List
- Operations on Doubly Linked Lists (Insertion/Deletion)
- Circular Linked List: Concept and Applications
- Dynamic Storage Management with Linked Lists
- Garbage Collection Techniques using Linked Lists
- Compaction and Memory Optimization with Linked List
- Real-Life Applications of Linked Lists in Operating Systems
- Linked List vs. Arrays: Comparative Study
- Implementation of Polynomial Operations using Linked List
- Case Study: Linked List in Music Playlist Management
- Hybrid Linked List Models for Advanced Storage Systems.
UNIT IV – Trees and Graphs
- Basic Terminology of Trees in Data Structures
- Binary Trees and Their Representations
- Tree Traversals: Preorder, Inorder, Postorder
- Complete Binary Tree: Structure and Applications
- Threaded Binary Trees: Concept and Use Cases
- AVL Tree: Balancing Binary Search Trees
- B+ Trees and Their Role in Databases
- Binary Search Trees: Operations and Applications
- Height-Balanced Trees and Rotations
- AI Game Trees: Minimax Algorithm Applications
- DNS Resolution using Tree Structures
- File System Hierarchy and Tree Representation
- Graph Theory: Terminology and Applications
- Graph Representations: Adjacency Matrix vs. List
- BFS vs. DFS: Comparative Analysis
- Dijkstra’s Algorithm for Shortest Path
- Prim’s and Kruskal’s Algorithms for Minimum Spanning Tree
- Graph Algorithms in Social Network Analysis
- Google Maps and Graph Algorithms
- Machine Learning with Graph Neural Networks (GNNs).
UNIT V – Symbol Table & Hash Table
- Symbol Table in Compiler Design
- Representation of Symbol Tables
- Static vs. Dynamic Tree Tables
- Height Balanced Tree in Symbol Tables
- AVL Trees in Symbol Table Representation
- Multiway Trees for Indexing in Databases
- Indexing Techniques in Search Operations
- Hash Table Concepts: Bucket, Collision, Overflow
- Hash Functions and Their Properties
- Perfect Hash Function: Concept and Challenges
- Open Hashing (Chaining) vs. Closed Hashing (Open Addressing)
- Load Density and Load Factor in Hash Tables
- Rehashing Techniques for Collision Resolution
- Properties of a Good Hash Function
- Heap Basics and Its Operations
- Realization of Heaps and Applications
- Hash Tables in Cryptography and Security
- Symbol Table in Programming Language Translators
- Case Study: Hash Tables in Password Management Systems
- Practical Applications of Hashing in Databases and File Systems.