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Welcome to the Graphs MCQs Page

Dive deep into the fascinating world of Graphs with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Graphs, a crucial aspect of Data Structures and Algorithms. In this section, you will encounter a diverse range of MCQs that cover various aspects of Graphs, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Data Structures and Algorithms.

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Check out the MCQs below to embark on an enriching journey through Graphs. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Data Structures and Algorithms.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Graphs. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Graphs MCQs | Page 5 of 17

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Q41.
The minimum number of edges in a connected cyclic graph on n vertices is

a.

n

b.

n+1

c.

n-1

d.

none of the above

Discuss
Answer: (a).n
Q42.
The number of edges in a regular graph of degree d and n vertices is

a.

nd

b.

n+d

c.

nd/2

d.

maximum of n,d

Discuss
Answer: (c).nd/2
Q43.
In the given graph identify the cut vertices.

a.

B and E

b.

C and D

c.

A and E

d.

C and B

Discuss
Answer: (d).C and B
Q44.
For the given graph(G), which of the following statements is true?

a.

G is a complete graph

b.

G is not a connected graph

c.

The vertex connectivity of the graph is 2

d.

The edge connectivity of the graph is 1

Discuss
Answer: (c).The vertex connectivity of the graph is 2
Q45.
The given Graph is regular.

a.

True

b.

False

c.

May be

d.

Can't say

Discuss
Answer: (a).True
Q46.
In the following DAG find out the number of required Stacks in order to represent it in a Graph Structured Stack.

a.

1

b.

2

c.

3

d.

4

Discuss
Answer: (c).3
Q47.
Which of the following graphs are isomorphic to each other?

a.

fig 1 and fig 2

b.

fig 2 and fig 3

c.

fig 1 and fig 3

d.

fig 1, fig 2 and fig 3

Discuss
Answer: (d).fig 1, fig 2 and fig 3
Q48.
In the given graph which edge should be removed to make it a Bipartite Graph?

a.

A-C

b.

B-E

c.

C-D

d.

D-E

Discuss
Answer: (a).A-C
Q49.
What would be the DFS traversal of the given Graph?

a.

ABCED

b.

AEDCB

c.

EDCBA

d.

ADECB

Discuss
Answer: (a).ABCED
Q50.
What is the number of words that can be formed from the given Directed Acyclic Word Graph?

a.

2

b.

4

c.

12

d.

7

Discuss
Answer: (b).4
Page 5 of 17

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