CS3401 ALGORITHMS

 


Important Questions
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UNIT -1

1.Worst case and average case analysis

2.Rabin-Karp algorithm ,Knuth-Morris-Pratt algorithm. May be part c ***

3.Rare :Insertion sort binary search** 2 marks expected

UNIT-2

1. Kruskal’s and Prim’s algorithm, Dijkstra’s algorithm

2.Ford-Fulkerson method**

3.DFS,BFS

UNIT-3

1.matrix chain multiplication 

2.Divide and conquer method(finding min and max )**,Huffman Trees.�*** must read don't leave this qn

3.Merge sort , Quick sort **

UNIT-5

1.Venn diagram representation,**

2.randomized quick sort , Finding kth smallest number**

3. Randomized Algorithms: concept and application 

UNIT-4

1.Traveling Salesman problem, Knapsack problem****may be part c 

2.Backtracking – Hamiltonian Circuit Problem**

3.Assignment problem

PART-C
1.Compulsory Questions {a case study where the student will have to read and analyse the subject }
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 *These questions are expected for the exams This may or may not be asked for exams .

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UNIT I INTRODUCTION
Algorithm analysis: Time and space complexity - Asymptotic Notations and its properties Best case,
Worst case and average case analysis – Recurrence relation: substitution method - Lower bounds –
searching: linear search, binary search and Interpolation Search, Pattern search: The naïve string-
matching algorithm - Rabin-Karp algorithm - Knuth-Morris-Pratt algorithm. Sorting: Insertion sort –
heap sort
UNIT II GRAPH ALGORITHMS
Graph algorithms: Representations of graphs - Graph traversal: DFS – BFS - applications - Connectivity,
strong connectivity, bi-connectivity - Minimum spanning tree: Kruskal’s and Prim’s algorithm- Shortest
path: Bellman-Ford algorithm - Dijkstra’s algorithm - Floyd-Warshall algorithm Network flow: Flow
networks - Ford-Fulkerson method – Matching: Maximum bipartite matching
UNIT III ALGORITHM DESIGN TECHNIQUES
Divide and Conquer methodology: Finding maximum and minimum - Merge sort - Quick sort Dynamic
programming: Elements of dynamic programming — Matrix-chain multiplication - Multi stage graph —
Optimal Binary Search Trees. Greedy Technique: Elements of the greedy strategy - Activity-selection
problem –- Optimal Merge pattern — Huffman Trees.
UNIT IV STATE SPACE SEARCH ALGORITHMS
Backtracking: n-Queens problem - Hamiltonian Circuit Problem - Subset Sum Problem – Graph
colouring problem Branch and Bound: Solving 15-Puzzle problem - Assignment problem - Knapsack
Problem - Travelling Salesman Problem
UNIT V NP-COMPLETE AND APPROXIMATION ALGORITHM
Tractable and intractable problems: Polynomial time algorithms – Venn diagram representation - NP-
algorithms - NP-hardness and NP-completeness – Bin Packing problem - Problem reduction: TSP – 3CNF problem. Approximation Algorithms: TSP - Randomized Algorithms: concept and application
- primality testing - randomized quick sort - Finding kth smallest number

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