1

GATE CSE 2011

MCQ (Single Correct Answer)

+2

-0.6

An undirected graph G(V, E) contains n ( n > 2 ) nodes named v

_{1}, v_{2},….v_{n}. Two nodes v_{i }, v_{j}are connected if and only if 0 < |i – j| <= 2. Each edge (v_{i}, v_{j}) is assigned a weight i + j. A sample graph with n = 4 is shown below. The length of the path from v5 to v6 in the MST of previous question with n = 10 is2

GATE CSE 2010

MCQ (Single Correct Answer)

+2

-0.6

Consider a complete undirected graph with vertex set {0, 1, 2, 3, 4}. Entry W(ij) 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 spanning tree T in this graph such that vertex 0 is a leaf node in the tree T?

3

GATE CSE 2010

MCQ (Single Correct Answer)

+2

-0.6

Consider a complete undirected graph with vertex set {0, 1, 2, 3, 4}. Entry W(ij) 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?

4

GATE CSE 2009

MCQ (Single Correct Answer)

+2

-0.6

Consider the following graph:
Which one of the following is NOT the sequence of edges added to the minimum spanning tree using Kruskal’s algorithm?

Questions Asked from Greedy Method (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2024 Set 2 (2)
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GATE CSE 2016 Set 1 (2)
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GATE CSE 2009 (1)
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GATE CSE 2003 (3)
GATE CSE 2000 (1)
GATE CSE 1992 (1)
GATE CSE 1991 (2)

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Discrete Mathematics

Programming Languages

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