1
GATE CSE 2010
MCQ (Single Correct Answer)
+2
-0.6
Consider a complete undirected graph with vertex set {0,1,2,3,4}. Entry Wij in the matrix W below is the weight of the edge {i, j} $$$W = \left( {\matrix{ 0 & 1 & 8 & 1 & 4 \cr 1 & 0 & {12} & 4 & 9 \cr 8 & {12} & 0 & 7 & 3 \cr 1 & 4 & 7 & 0 & 2 \cr 4 & 9 & 3 & 2 & 0 \cr } } \right)$$$ What is the minimum possible weight of a path P from vertex 1 to vertex 2 in this graph such that P contains at most 3 edges?
A
7
B
8
C
9
D
10
2
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider the following sequence of nodes for the undirected graph given below.
1.a b e f d g c
2.a b e f c g d
3.a d g e b c f
4.a d b c g e f
A Depth First Search (DFS) is started at node a. The nodes are listed in the order they are first visited. Which all of the above is (are) possible output(s)? GATE CSE 2008 Data Structures - Graphs Question 18 English
A
1 and 3 only
B
2 and 3 only
C
2, 3 and 4 only
D
1 , 2 and 3
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
What is the largest integer m such that every simple connected graph with n vertices and n edges contains at least m different spanning trees?
A
1
B
2
C
3
D
n
4
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
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12