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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 7 of 17

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Q61.
For which of the following combinations of the degrees of vertices would the connected graph be eulerian?

a.

1,2,3

b.

2,3,4

c.

2,4,5

d.

1,3,5

Discuss
Answer: (a).1,2,3
Q62.
A graph with all vertices having equal degree is known as a __________

a.

Multi Graph

b.

Regular Graph

c.

Simple Graph

d.

Complete Graph

Discuss
Answer: (b).Regular Graph
Q63.
Which of the following ways can be used to represent a graph?

a.

Adjacency List and Adjacency Matrix

b.

Incidence Matrix

c.

Adjacency List, Adjacency Matrix as well as Incidence Matrix

d.

None of the mentioned

Discuss
Answer: (c).Adjacency List, Adjacency Matrix as well as Incidence Matrix
Q64.
The number of elements in the adjacency matrix of a graph having 7 vertices is __________

a.

7

b.

14

c.

36

d.

49

Discuss
Answer: (d).49
Q65.
What would be the number of zeros in the adjacency matrix of the given graph?

a.

10

b.

6

c.

16

d.

0

Discuss
Answer: (b).6
Q66.
Adjacency matrix of all graphs are symmetric.

a.

False

b.

True

c.

May be

d.

Can't say

Discuss
Answer: (a).False
Q67.
The time complexity to calculate the number of edges in a graph whose information in stored in form of an adjacency matrix is ____________

a.

O(V)

b.

O(E^2)

c.

O€

d.

O(V^2)

Discuss
Answer: (d).O(V^2)
Q68.
For the adjacency matrix of a directed graph the row sum is the _________ degree and the column sum is the ________ degree.

a.

in, out

b.

out, in

c.

in, total

d.

total, out

Discuss
Answer: (b).out, in
Q69.
What is the maximum number of possible non zero values in an adjacency matrix of a simple graph with n vertices?

a.

(n*(n-1))/2

b.

(n*(n+1))/2

c.

n*(n-1)

d.

n*(n+1)

Discuss
Answer: (c).n*(n-1)
Q70.
On which of the following statements does the time complexity of checking if an edge exists between two particular vertices is not, depends?

a.

Depends on the number of edges

b.

Depends on the number of vertices

c.

Is independent of both the number of edges and vertices

d.

It depends on both the number of edges and vertices

Discuss
Answer: (c).Is independent of both the number of edges and vertices
Page 7 of 17

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