CS8451 DESIGN AND ANALYSIS OF ALGORITHMS (DAA)

CS8451 DESIGN AND ANALYSIS OF ALGORITHMS (DAA) 
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Important questions 
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UNIT -1
1.Recursive and Non-recursive algorithms**
2.Worst case analysis
UNIT-2
1.Exhaustive Search
2.Divide and conquer method
3.Merge sort – Quick sort – Binary search
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UNIT-3
1.Knapsack Problem**, Prim‟s algorithm
2.Binary Search**
3.Kruskal's Algorithm￾,Huffman Trees.�
UNIT-4
1.Simplex ,Maximum-Flow Problem**
2.Maximum Matching in Bipartite Graphs
UNIT-5
1.Traveling Salesman problem – Knapsack problem**
2.Backtracking – Hamiltonian Circuit Problem
3.Assignment problem

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PART-C

1.Compulsory Questions {a case study where the student will have to read and analyse the subject }
mostly asked 3,4,5unit (OR) a situation given and you have to write algorithm on your

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Syllabus

UNIT-I INTRODUCTION
Notion of an Algorithm – Fundamentals of AlgorithmicProblem Solving – Important Problem Types – Fundamentals of the Analysis of Algorithmic Efficiency –Asymptotic Notations and their properties. Analysis Framework – Empirical analysis - Mathematical analysis for Recursive and Non-recursive algorithms - Visualization
UNIT-II BRUTE FORCE AND DIVIDE-AND-CONQUER
Brute Force – Computing an – String Matching - Closest-Pair and Convex-Hull Problems - Exhaustive Search - Travelling Salesman Problem - Knapsack Problem - Assignment problem. Divide and Conquer Methodology – Binary Search – Merge sort – Quick sort – Heap Sort - Multiplication of Large Integers – Closest-Pair and Convex - Hull Problems.
UNIT III DYNAMIC PROGRAMMING AND GREEDY TECHNIQUE
Dynamic programming – Principle of optimality - Coin changing problem, Computing a Binomial Coefficient – Floyd‘s algorithm – Multi stage graph - Optimal Binary Search Trees – Knapsack Problem and Memory functions. Greedy Technique – Container loading problem - Prim‘s algorithm and Kruskal's Algorithm – 0/1 Knapsack problem, Optimal Merge pattern - Huffman Trees.
UNIT IV ITERATIVE IMPROVEMENT
The Simplex Method - The Maximum-Flow Problem – Maximum Matching in Bipartite Graphs, Stable marriage Problem.
UNIT V
COPING WITH THE LIMITATIONS OF ALGORITHM POWER
Limitations of Algorithm Power-Lower-Bound Arguments-Decision Trees-P, NP and NP-
Complete Problems--Coping with the Limitations - Backtracking – n-Queens problem –
Hamiltonian Circuit Problem – Subset Sum Problem-Branch and Bound – Assignment problem –
Knapsack Problem – Travelling Salesman Problem- Approximation Algorithms for NP – Hard
Problems – Travelling Salesman problem – Knapsack problem.
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