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 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?

2

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?

3

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?

4

GATE CSE 2008

MCQ (Single Correct Answer)

+2

-0.6

Dijkstra's single source shortest path algorithm when run from vertex a in the above graph, computes the correct shortest path distance to

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GATE CSE 2024 Set 2 (2)
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Discrete Mathematics

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