Unit-1 BCS301 DATA STRUCTURE
for B.Tech. 2nd Year CS/DS/ AIML Students
Introduction: Basic Terminology
Elementary Data Organization
Built-in Data Types in C.
Algorithm: Efficiency of an Algorithm
Time and Space Complexity
Asymptotic notations: Big Oh, Big Theta and Big Omega
Time-Space trade-off. Abstract Data Types (ADT)
Arrays: Definition
Single and Multidimensional Arrays
Representation of Arrays: Row
Major Order
and Column Major Order
Derivation of Index Formulae for 1-D, 2-D, 3-D, and n-D Array Application of arrays
Sparse Matrices and their representations.
Linked Lists: Array Implementation and Pointer Implementation of Singly Linked Lists
Doubly Linked List
Circularly Linked List
Operations on a Linked List. Insertion
Deletion
Traversal
Polynomial Representation and Addition Subtraction & Multiplications of Single
variable & Two variables Polynomial.
Unit-2 BCS301 DATA STRUCTURE
Stacks: Abstract Data Type
Primitive Stack operations: Push & Pop
Array and Linked
Implementation of Stack in C
Application of stack: Prefix and Postfix Expressions
Evaluation of postfix expression
Iteration and Recursion- Principles of Recursion
Tail
recursion
Removal of recursion Problem solving using iteration and recursion with
examples such as binary search
Fibonacci numbers
and Hanoi towers. Tradeoffs
between iteration and recursion.
Queues: Operations on Queue: Create, Add, Delete
Full and Empty
Circular queues
Array and linked implementation of queues in C
Dequeue and Priority Queue
Unit-3 BCS301 DATA STRUCTURE
Searching: Concept of Searching
Sequential search
Index Sequential Search
Binary
Search. Concept of Hashing & Collision Resolution Techniques used in Hashing. Sorting:
Insertion Sort
Selection
Bubble Sort
Quick Sort
Merge Sort
Heap Sort and Radix Sort.
Unit-4 BCS301 DATA STRUCTURE
Trees: Basic terminology used with Tree
Binary Trees
Binary Tree Representation: Array
Representation and Pointer(Linked List) Representation
Binary Search Tree
Strictly
Binary Tree
Complete Binary Tree. An Extended Binary Trees
Tree Traversal algorithms:
In order
Preorder and Postorder
Constructing Binary Tree from given Tree Traversal
Operation of Inspiration
Deletion
Searching & Modification of Data in Binary Search.
Threaded Binary trees
Traversing Threaded Binary trees. Huffman coding using Binary
Tree. Concept & Basic Operations for AVL Tree
B Tree & Binary Heaps
Unit-5 BCS301 DATA STRUCTURE
Graphs: Terminology used with Graph
Data Structure for Graph Representations:
Adjacency Matrices
Adjacency List
Adjacency. Graph Traversal: Depth First Search and
Breadth-First Search
Connected Component
Spanning Trees
Minimum Cost Spanning
Trees: Prims and Kruskal algorithm.
Transitive Closure and Shortest Path Algorithm:
Warshal Algorithm and Dijikstra Algorithm.
The Importance of Data Structures in BCS301 Data Structure
In the BCS301 Data Structure course, understanding data structures is fundamental to becoming a proficient computer scientist. Data structures are essential tools that organize, manage, and store data efficiently, enabling the development of effective algorithms and applications.
Why Data Structures Are Important
Data structures play a critical role in optimizing the performance of algorithms by determining how data is stored, accessed, and manipulated. In BCS301, you will learn that the choice of data structure can significantly impact the efficiency of operations such as searching, sorting, and updating data. For example, using a hash table can speed up search operations compared to a simple list, while a balanced tree structure can improve the efficiency of insertion and deletion operations.
Use of Data Structures in Real-world Applications
The principles learned in BCS301 Data Structure have practical applications in various domains. Efficient data structures are crucial for handling large volumes of data and ensuring that software applications run smoothly. For instance, databases rely on complex data structures like B-trees to manage large datasets and provide quick access to information. Similarly, network systems use data structures to manage routing tables and optimize data transmission.
Foundational Knowledge for Advanced Topics
Mastering data structures in BCS301 lays the groundwork for more advanced topics in computer science, such as algorithms, databases, and software engineering. A solid understanding of data structures allows you to design and implement algorithms more effectively and to tackle complex problems with confidence. It also helps optimize code performance, essential for developing scalable and efficient software.
Enhancing Problem-Solving Skills
Data structures are not just about storing data but about solving problems efficiently. In BCS301, you will learn how to choose the appropriate data structure based on the specific needs of an application, enhancing your problem-solving skills and ability to create optimized solutions.
In summary, BCS301 Data Structure equips you with crucial knowledge that impacts various aspects of computing, from application performance to advanced algorithm design, making it an indispensable part of your computer science education.