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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 17 of 17

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Q161.
What can be the applications of Breadth First Search?

a.

Finding shortest path between two nodes

b.

Finding bipartiteness of a graph

c.

GPS navigation system

d.

All of the mentioned

Discuss
Answer: (d).All of the mentioned
Q162.
When the Breadth First Search of a graph is unique?

a.

When the graph is a Binary Tree

b.

When the graph is a Linked List

c.

When the graph is a n-ary Tree

d.

None of the mentioned

Discuss
Answer: (b).When the graph is a Linked List
Q163.
Regarding implementation of Breadth First Search using queues, what is the maximum distance between two nodes present in the queue? (considering each edge length 1)

a.

Can be anything

b.

0

c.

At most 1

d.

Insufficient Information

Discuss
Answer: (c).At most 1
Q164.
In BFS, how many times a node is visited?

a.

Once

b.

Twice

c.

equivalent to number of indegree of the node

d.

None of the mentioned

Discuss
Answer: (c).equivalent to number of indegree of the node
Q165.
Which of the following is an advantage of adjacency list representation over adjacency matrix representation of a graph?

a.

In adjacency list representation, space is saved for sparse graphs.

b.

DFS and BSF can be done in O(V + E) time for adjacency list representation. These operations take O(V²) time in adjacency matrix representation. Here is V and E are number of vertices and edges respectively.

c.

Adding a vertex in adjacency list representation is easier than adjacency matrix representation.

d.

All of the above

Discuss
Answer: (d).All of the above
Q166.
What is the maximum number of edges in a bipartite graph having 10 vertices?

a.

24

b.

21

c.

25

d.

16

Discuss
Answer: (c).25
Q167.
Possible number of labelled simple Directed, Pseudo and Multigarphs exist having 2 vertices?

a.

3, Infinite, 4

b.

4, 3, Infinite

c.

4, Infinite, infinite

d.

4, Infinite, Infinite

Discuss
Answer: (d).4, Infinite, Infinite
Q168.
The most efficient algorithm for finding the number of connected components in an undirected graph on n vertices and m edges has time complexity.

(A) O(n)
(B) O(m)
(C) O(m + n)
(D) O(mn)

a.

A

b.

B

c.

C

d.

D

Discuss
Answer: (c).C
Q169.
If a simple graph G, contains n vertices and m edges, the number of edges in the Graph G'(Complement of G) is ___________

a.

(n*n-n-2*m)/2

b.

(n*n+n+2*m)/2

c.

(n*n-n-2*m)/2

d.

(n*n-n+2*m)/2

Discuss
Answer: (c).(n*n-n-2*m)/2
Page 17 of 17

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