cs502 final Term paper 2011 by nouman100

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cs502 final Term paper current 2011

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									CS502 FUNDAMENTALS OF ALGORITHM
FALL 2011 FINAL
Note: All MCQ’s were from previous papers but some new and mostly was
related to ASCII caracter.
MCQ’s       40x1=40
SQ’s        4x2=8
            4x3=12
            4x5=20
Total Time 120 minute


                              SUBJECTIVE
   1. Suppose we are able to prove that an NP-complete problem cannot be
       solved in less than exponential number of steps, what would be
       consequence? (2)
   2. What is the total running time for edit distance algorithm? (2)
   3. i) How Dijkstra’s algorithm operates?           (2)
       ii) What is the running time for Dijkstra’s algorithm?
   4. The following adjacent matrix represents graph for vertices         0 1 2 3
       labeled 0,1,2,3. Suppose we encounter an algorithm that         0 0 1 0 3
       work on weighted graph but we want to run it on an un-          1 2 0 4 0
       weighted graph. How do we do so. (2)                            2 0 1 0 1
                                                                       3 2 0 0 0
   5. What is the application of edit distance technique? (3)
   6. What is all pairs shortest path problem also describe Floyd Warshall’s
       algorithm. (3)
   7. Answer the following question according to Floyd Warshall’s algorithm. (3)
   i) Running time.
   ii) Space used.
   8. Let the adjacency list representation of an undirected graph is given below.
       Explain what general property of the list indicates that the graph has a loop.
       (3)
              abce
              bad
              cadef
              dbcf
         eacf
         fcde
         g
9. Suppose you could reduce NP-complete problem to a polynomial time
   problem in polynomial time problem, what would be the consequence? (5)
10.Prove that a directed graph G is acyclic if and only if a depth-first-search of
   graph G yields no back edge? (5)
11.Draw a Binary tree for this order of matrix multiplication (5)
   ((A1(A2A3))(A4,A5))
12.What is the cost of the following graph. (5)

								
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