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I PG (SEM 1): DAA Syllabus

 



22PCSCC11: DESIGN AND ANALYSIS OF ALGORITHMS

UNIT I

Introduction: Algorithm Definition–Algorithm Specification–Performance Analysis-Asymptotic Notations. Elementary Data Structures: Stacks and Queues– Trees–Dictionaries – Priority Queues–Sets and Disjoint Set -Union–Graphs

UNIT II

Divide and Conquer: The General Method – Defective Chessboard –Binary Search – Finding the Maximum and Minimum – Merge Sort –Quick Sort – Selection-Stassen’s Matrix Multiplication.

UNIT III

The Greedy Method: General Method-Container Loading-Knapsack Problem-Tree Vertex Splitting–Job Sequencing With Deadlines-Minimum Cost Spanning Trees- Optimal Storage On Tapes–Optimal Merge Patterns-Single Source Shortest Paths.

UNIT IV

Dynamic Programming: The General Method – Multistage Graphs –All-Pairs Shortest Paths–Single-Source Shortest Paths-Optimal Binary Search Trees-String Editing-0/1Knapsack- Reliability Design - The Traveling Salesperson Problem - Flow Shop Scheduling. Basic Traversal and Search Techniques: Techniques for Binary Trees –Techniques for Graphs–Connected Components and Spanning Trees–Bi connected Components and DFS.

UNIT V

Backtracking: The General Method – The 8-Queens Problem – Sum of Subsets–Graph Coloring–Hamiltonian Cycles–Knapsack Problem Branch and Bound: Least Cost searchhod-0/1Knapsack Problem.

Text Books

1. Ellis Horowitz, Satraj Sahni and Sanguthevar Rajasekaran, Fundamentals of Computer Algorithms, Universities Press, Second Edition, Reprint 2009.


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