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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 14 of 17

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Q131.
Which of the following statement is true.

a.

There exists a Simple Graph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9

b.

There exists a MultiGraph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9

c.

There exists a MultiGraph as well as a Simple Graph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9

d.

None of the mentioned

Discuss
Answer: (b).There exists a MultiGraph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9
Q132.
Given Adjacency matrices determine which of them are PseudoGraphs?
i) {{1,0} {0,1}}

ii) {{0,1}{1,0}}

iii) {{0,0,1}{0,1,0}{1,0,0}}

a.

only i)

b.

ii) and iii)

c.

i) and iii)

d.

i) ii) and iii)

Discuss
Answer: (c).i) and iii)
Q133.
Possible number of labelled simple Directed, Pseudo and Multigarphs exist having 2 vertices?

a.

3, Infinite, 4

b.

4, 3, Infinite

c.

4, Infinite

d.

4, Infinite, Infinite

Discuss
Answer: (d).4, Infinite, Infinite
Q134.
Which of the following is a HyperGraph, where V is the set of vertices, E is the set of edges?

a.

V = {v1, v2, v3} E = {e1, e2} = {{v2, v3} {v1, v3}}

b.

V = {v1, v2} E = {e1} = {{v1, v2}}

c.

V = {v1, v2, v3} E = {e1, e2, e3} = {{v2, v3}{v3, v1}{v2, v1}}

d.

All of the mentioned

Discuss
Answer: (d).All of the mentioned
Q135.
What would be the Incidence Matrix of the given HyperGraph?
V = {x,y,z} E = {{x,y}{y}{x,z}{z,y}}

a.

{{1,0,1,0},
{1,1,0,1},
{0,0,1,1}}

b.

{{1,1,0,0},
{0,1,0,0},
{1,1,1,0}}

c.

{{0,1,0,1},
{0,0,1,0},
{1,1,0,0}}

d.

None of the Mentioned

Discuss
Answer: (a).{{1,0,1,0},
{1,1,0,1},
{0,0,1,1}}
Q136.
What is the degree sequence of the given HyperGraph, in non-increasing order.
V = {v1,v2,v3,v4,v5,v6} E = {{v1,v4,v5} {v2,v3,v4,v5} {v2} {v1} {v1,v6}}

a.

3,2,1,1,1,1

b.

3,2,2,2,1,1

c.

3,2,2,2,2,1

d.

3,2,2,1,1,1

Discuss
Answer: (b).3,2,2,2,1,1
Q137.
MultiGraphs having self-loops are called PseudoGraphs?

a.

True

b.

False

c.

May be

d.

Can't say

Discuss
Answer: (a).True
Q138.
Binary Decision Diagram is a type of __________

a.

Multigraph

b.

Cyclic Graph

c.

Directed Acyclic Graph

d.

Directed Acyclic Word Graph

Discuss
Answer: (c).Directed Acyclic Graph
Q139.
In which of the following case does a Binary Decision Diagram is used for?

a.

Representation of Boolean Functions

b.

String Matching

c.

Searching

d.

Sorting of number

Discuss
Answer: (a).Representation of Boolean Functions
Q140.
In a Binary Decision Diagram, how many types of terminal exists?

a.

1

b.

2

c.

3

d.

4

Discuss
Answer: (b).2
Page 14 of 17

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