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Course Detail

Course Name Design and Analysis of Algorithms
Course Code 15CSE211
Program B. Tech. in Computer Science and Engineering
Semester Four
Year Taught 2019


Unit 1

Introduction – Algorithms vs programs. Flow charts and pseudo code, Rate of growth of functions. Asymptotic notation: motivation and types of notations. Recurrence relations and methods to solve them: Recursion tree, substitution, Master Method, Sorting: Bubble – Insertion – Selection – Bucket – Heap, Comparison of sorting algorithms, Divide and Conquer: Quick sort – Merge sort – Binary search – Long integer multiplication – Maximum sub array sum.

Unit 2

Greedy Algorithm – Introduction to the method, Fractional Knapsack problem, Task Scheduling Problem, Dynamic Programming: Introduction to the method, Fibonacci numbers, 0-1 Knapsack problem, Matrix chain multiplication problem. Backtracking, Branch and Bound 0-1 Knapsack, N- Queen problem.

Unit 3

Graph Algorithms – Graph Traversal: Applications of BFS: distance, connectivity and connected components and cycles in undirected graphs. Applications of DFS: Topological sort, cycles in directed graphs, Biconnected Components and Strong Connectivity. Path algorithms: Shortest path algorithms (along with analysis) SSSP: Bellman Ford. APSP: Floyd Warshall’s. Minimum Spanning Tree (with analysis and applications). Introduction to NP class: Definitions P, NP, NP complete, NP hard, Examples of P and NP.

Text Books

  • Goodrich M. T. and Tamassia R., “Algorithm Design Foundations – Analysis and Internet Examples”, John Wiley and Sons, 2007.


  • Cormen T. H., Leiserson C. E., Rivest R. L. and Stein C., “Introduction to Algorithms”, Prentice Hall of India Private Limited, Third Edition, 2009.
  • Dasgupta S., Papadimitriou C. and Vazirani U., “Algorithms”, Tata McGraw-Hill, 2009.

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