1
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider the depth-first-search of an undirected graph with 3 vertices P, Q, and R. Let discovery time d(u) represent the time instant when the vertex u is first visited, and finish time f(u) represent the time instant when the vertex u is last visited. Given that
d(P) = 5 units      f(P) = 12 units
d(Q) = 6 units      f(Q) = 10 units
d(R) = 14 unit      f(R) = 18 units
Which one of the following statements is TRUE about the graph
A
There is only one connected component
B
There are two connected components, and P and R are connected
C
There are two connected components, and Q and R are connected
D
There are two connected components, and P and Q are connected
2
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Let T be a depth-first search tree in an undirected graph G. Vertices u and v are leaves of this tree T. The degrees of both u and v in G are at least 2. Which one of the following statements is true?
A
There must exist a vertex w adjacent to both u and v in G
B
There must exist a vertex w whose removal disconnects u and v in G
C
There must exist a cycle in G containing u and v
D
There must exist a cycle in G containing u and all its neighbors in G.
3
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Suppose that we have numbers between 1 and 100 in a binary search tree and want to search for the number 55. Which of the following sequences CANNOT be the sequence of nodes examined?
A
{10, 75, 64, 43, 60, 57, 55}
B
{90, 12, 68, 34, 62, 45, 55}
C
{9, 85, 47, 68, 43, 57, 55}
D
{79, 14, 72, 56, 16, 53, 55}
4
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
The following function computes the value of mCn correctly for all legal values m and n (m≥1,n≥0 and m>n)
int func(int m, int n) 
{ 
     if (E) return 1; 
     else return(func(m -1, n) + func(m - 1, n - 1)); 
} 
In the above function, which of the following is the correct expression for E?
A
(n = = 0) || (m = = 1)
B
(n = = 0) && (m = = 1)
C
(n = = 0) || (m = = n)
D
(n = = 0) && (m = = n)