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 4 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

Q31.

For an undirected graph G with n vertices and e edges, the sum of the degrees of each vertex is

e^n

Discuss

Answer: (c).2e

Q32.

A complete graph can have ...............

n^2 spanning trees

n^(n-2) spanning trees

n^(n+1) spanning trees

n^n spanning trees

Discuss

Answer: (b). n^(n-2) spanning trees

Q33.

Graph traversal is different from a tree traversal, because:

trees are not connected

graphs may have loops

trees have root

None of these

Discuss

Answer: (c).trees have root

Q34.

The number of edges in a simple, n-vertex, complete graph is

n*(n-2)

n*(n-1)

n*(n-1)/2

n*(n-1)*(n-2)

Discuss

Answer: (c).n*(n-1)/2

Q35.

Graphs are represented using ............

Adjacency tree

Adjacency linked list

Adjacency graph

Adjacency queue

Discuss

Answer: (b).Adjacency linked list

Q36.

The spanning tree of connected graph with 10 vertices contains ..............

9 edges

11 edges

10 edges

9 vertices

Discuss

Answer: (a).9 edges

Q37.

If locality is a concern, you can use ................ to traverse the graph.

Breadth First Search

Depth First Search

Either BFS or DFS

None of these

Discuss

Answer: (b).Depth First Search

Q38.

Which of the following algorithms solves the all-pair shortest path problem?

Floyd's algorithm

Prim's algorithm

Dijkstra's algorithm

Warshall's algorithm

Discuss

Answer: (a).Floyd's algorithm

Q39.

The minimum number of colors needed to color a graph having n (>3) vertices and 2 edges is

Discuss

Answer: (b).2

Q40.

Which of the following is useful in traversing a given graph by breadth first search?

set

List

stacks

Queue

Discuss

Answer: (d).Queue

Page 4 of 17

Welcome to the Graphs MCQs Page

Graphs MCQs | Page 4 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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