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.

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

Explore more Topics under Data Structures and Algorithms

01

Data Structures Basics

02

Data Types and Abstraction

03

Algorithm Complexity

04

Arrays and Pointers

05

Linked Lists

06

Stacks and Queues

07

Recursion

08

Trees

09

String Operations

10

Sorting and Searching

11

Object Oriented Programming

12

Dynamic Programming

Q161.

What can be the applications of Breadth First Search?

Finding shortest path between two nodes

Finding bipartiteness of a graph

GPS navigation system

All of the mentioned

Discuss

Answer: (d).All of the mentioned

Q162.

When the Breadth First Search of a graph is unique?

When the graph is a Binary Tree

When the graph is a Linked List

When the graph is a n-ary Tree

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)

Can be anything

At most 1

Insufficient Information

Discuss

Answer: (c).At most 1

Q164.

In BFS, how many times a node is visited?

Once

Twice

equivalent to number of indegree of the node

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?

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

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.

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

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?

Discuss

Answer: (c).25

Q167.

Possible number of labelled simple Directed, Pseudo and Multigarphs exist having 2 vertices?

3, Infinite, 4

4, 3, Infinite

4, Infinite, infinite

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)

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 ___________

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

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

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

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

Discuss

Answer: (c).(n*n-n-2*m)/2

Page 17 of 17

Welcome to the Graphs MCQs Page

Graphs MCQs | Page 17 of 17

Explore more Topics under Data Structures and Algorithms

Data Structures Basics

Data Types and Abstraction

Algorithm Complexity

Arrays and Pointers

Linked Lists

Stacks and Queues

Recursion

Trees

String Operations

Sorting and Searching

Object Oriented Programming

Dynamic Programming

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