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Today 12 march 2015

cs502 exam

only 5,6 mcqs were from moazz file so please prepare notebook too algorithms  topic and complexity topic are important 

mostly subjective from moazz file

Suppose you could prove that an NP-complete problem cannot be solved in polynomial time. What would be the consequence (5 marks)

 Make adjacency list of given graph (marks 5)

What is the cost of the following graph?   (marks 5)

aik line ka jwab tha which is cost =33 :p lol 5 marks easily

If you have to lay a train track between n cities. is kisam ka q tha (marks 5)

Define back Edge (2 marks)

 working of Prim's Algorithm (2 marks)

bits wala q tha sirf bits ki value btani thi (2 marks)

minimizing spanning tree (3 marks)

MST problem in prism algorithm (3 makrs)

money counting k liye psuedo code likhna tha (3marks)

best of luck everyone :) 

shukr hai kisi ne to march 2015 wala paper post kia

 thank u  Rizwan Tariq BSIT

TO day 13 march 2015 my paper of cs502

Q: Suppose you could prove that an NP-complete problem cannot be solved in polynomial time. What would be the consequence (5 marks)

Answer:

If we can solve a problem in polynomial time, we can certainly verify the solution in polynomial time.
More formally, we do not need to see a certificate to solve the problem; we can solve it in polynomial time
anyway.
However, it is not known whether P = NP. It seems unreasonable to think that this should be so. Being able
to verify that you have a correct solution does not help you in finding the actual solution. The belief is that
P 6= NP but no one has a proof for this.

Q: What is the cost of the following graph?   (marks 5)

Answer:

the cost off the graph is 33.

Q: How Dijkstra‟s algorithm works? (3 marks)

Answer:

Dijkstra’s algorithm is a simple greedy algorithm for computing the single-source shortest-paths to all
other vertices. Dijkstra’s algorithm works on a weighted directed graph G = (V, E) in which all edge
weights are non-negative, i.e., w(u, v) _ 0 for each edge (u, v) 2 E.
Negative edges weights maybe counter to intuition but this can occur in real life problems. However, we
will not allow negative cycles because then there is no shortest path. If there is a negative cycle between,
say, s and t, then we can always find a shorter path by going around the cycle one more time.

Q: Polynomial time algorithm (2 marks)

Answer:

A polynomial time algorithm is any algorithm that runs in O(n
k
) time.
A problem is solvable in polynomial time if there is a polynomial time algorithm for it.

Q:How to propagate shortest path in Bell men Ford theorem? (3 marks)
Answer: 
The shortest path information is propagated sequentially along each shortest path in the graph.

Q: Consider the following (3 marks)
Can an adjacency matrix for a directed graph ever not be square in shape? Why or why not?
0 1 2 3

1 2 4 0

2 0 0 2

3 4 0 2

Answer: 
No. since we want to describe the relationship between each node and each other node, we need precisely
n^2 matrix entries.

baki question graphs ka thy wo main bhul gai 

best of luck to all of u ?

pray for me 

Jazakallah Khair,  umeed hai saab pass hojayeen specially is subject mai. Is ki assignments .. exams sai zyada khatarnaak theen.

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