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BCA Data Structures and Algorithms

bcasemester 3

Data Structures and Algorithms

Subject Code: CACS201

Course Title: Data Structures and Algorithms

Course No: CACS201

Nature of Course: Theory & Practical

Full Marks: 60+20+20

Pass Marks: 24+8+8

Credit Hours: 3

Course Description

This course includes fundamental concept of data structures such as stack, queue, list, linked list, trees and graph; application of these data structures along with several algorithms.

Course Objective

The general objective of this course is to provide fundamental concepts of data structures, different algorithms and their implementation.

Course Contents

Unit 1. Introduction to data structure   2 Hrs.

Definition, Abstract Data Type, Importance of Data structure

Unit 2. The Stack   3 Hrs.

Introduction, Stack as an ADT, POP and PUSH Operation, Stack Application: Evaluation of Infix, Postfix, and Prefix Expressions, Conversion of Expression

Unit 3. Queue   3 Hrs.

Introduction, Queue as an ADT, Primitive Operations in Queue, Linear and Circular Queue and Their Application, Enqueue and Dequeue, Priority Queue

Unit 4. List   2 Hrs.

Introduction, Static and Dynamic List Structure, Array Implementation of Lists, Queues as a List

Unit 5. Linked Lists   5 Hrs.

Introduction, Linked List as an ADT, Dynamic Implementation, Insertion & Deletion of Node To and From a List, Insertion and Deletion After and Before Nodes, Linked Stacks and Queues, Doubly Linked Lists and Its Advantages

Unit 6. Recursion   4 Hrs.

Introduction, Principle of Recursion, Recursion vs. Iteration, Recursion Example: TOH and Fibonacci Series, Applications of Recursion, Search Tree

Unit 7. Trees   5 Hrs.

Introduction, Basic Operation in Binary tree, Tree Search and Insertion/Deletion, Binary Tree Traversals (pre-order, post-order and in-order), Tree Height, Level, and Depth, Balanced Trees: AVL Balanced Trees, Balancing Algorithm, The Huffman Algorithm, Game tree, B-Tree

Unit 8. Sorting   5 Hrs.

Introduction, Internal and External Sort, Insertion and Selection Sort, Exchange Sort, Bubble and Quick Sort, Merge and Radix Sort, Shell Sort, Binary Sort, Heap Sort as Priority Queue, Efficiency of Sorting, Big 'O' Notation

Unit 9. Searching   5 Hrs.

Introduction to Search Technique, essential of search, Sequential search, Binary search, Tree search, General search tree, Hashing: Hash function and hash tables, Collision resolution technique, Efficiency comparisons of different search technique

Unit 10. Graphs   5 Hrs.

Introduction, Graphs as an ADT, Transitive Closure, Warshall's Algorithm, Types of Graph, Graph Traversal and Spanning Forests, Kruskal's and Round-Robin Algorithms, Shortest-path Algorithm, Greedy Algorithm, Dijkstra's Algorithm

Unit 11. Algorithms   5 Hrs.

Deterministic and Non-deterministic Algorithm, Divide and Conquer Algorithm, Series and Parallel Algorithm, Heuristic and Approximate Algorithms

Text Books

  1. Y. Langsam, M.J. Augenstein and A. M. Tenenbaum, "Data Structures using C and C++", PHI

Reference Books

  1. G. W. Rowe, "Introduction to Data Structure and Algorithms with C and C++", PHI
  2. Robert Lafore, Data Structures and Algorithms in Java (2nd Edition), Sams Publishing.

Lab Works

There shall be 10 lab exercises based on C or Java
1. Implementations of different operations related to Stack
2. Implementations of different operations related to linear and circular queues
3. Solutions of TOH and Fibonacci Series using Recursion
4. Implementations of different operations related to linked list: singly and doubly linked
5. Implementation of trees: AVL trees, Balancing of AVL
6. Implementation of Merge sort
7. Implementation of different searching technique: sequential, Tree and Binary
8. Implementation of Graphs: Graph traversals
9. Implementation of Hashing
10. Implementations of Heap