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Posted By: Sra1       Member Level: Diamond       Posted Date: 27 May 2008

2007 Jawaharlal Nehru Technological University B.Tech Computer Science & Engineering DESIGN AND ANALYSIS OF ALGORITHMS (Supplimentary Examinations, Aug/Sep 2007) Question paper



Course: B.Tech Computer Science & Engineering   University: Jawaharlal Nehru Technological University




Set No 3
----------------
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks

1. (a) Define omega notation. Explain the terms involved in it. Give an example.
(b) Show that f1(n)×f2(n) = 0(g1(n)×g2(n) wheref1(n) = 0(g1(n) and f2(n) = 0(g2(n)). [10+6]
2. (a) Write and explain the control abstraction for Divide and conquer.
(b) Suggest refinements to mergesort to make it in-place. [8+8]
3. (a) What is spanning tree? Explain the prim’s algorithm with an example.
(b) Explain the terms Feasible solution, optimal solution and objective function. [10+6]
4. (a) For the Travelling sales person algorithm show that the time complexity is 0(n22n) and space complexity is O(n2n).
(b) Write an algorithm of matrix chain multiplication. [8+8]
5. (a) Explain the properties of strongly connected components.
(b) Write a non-recursive algorithm of In-order traversal of a tree and also analyze its time complexity. [6+10]
6. Describe Backtracking technique to m-coloring graph. Explain with an example [16]
7. (a) Explain the method of reduction to solve TSP problem using Branch and Bound.
(b) Explain the principles of FIFO Branch and Bound. [8+8]
8. (a) Explain the classes of P and NP.
(b) Write a nondeterministic Knapsack algorithm. [8+8]





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