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 14 of 17

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Q131.

Which of the following statement is true.

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

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

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

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}}

only i)

ii) and iii)

i) and iii)

i) ii) and iii)

Discuss

Answer: (c).i) and iii)

Q133.

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

3, Infinite, 4

4, 3, Infinite

4, Infinite

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?

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

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

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

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}}

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

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

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

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}}

3,2,1,1,1,1

3,2,2,2,1,1

3,2,2,2,2,1

3,2,2,1,1,1

Discuss

Answer: (b).3,2,2,2,1,1

Q137.

MultiGraphs having self-loops are called PseudoGraphs?

True

False

May be

Can't say

Discuss

Answer: (a).True

Q138.

Binary Decision Diagram is a type of __________

Multigraph

Cyclic Graph

Directed Acyclic Graph

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?

Representation of Boolean Functions

String Matching

Searching

Sorting of number

Discuss

Answer: (a).Representation of Boolean Functions

Q140.

In a Binary Decision Diagram, how many types of terminal exists?

Discuss

Answer: (b).2

Page 14 of 17

Welcome to the Graphs MCQs Page

Graphs MCQs | Page 14 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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