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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 4 of 17

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Q31.
For an undirected graph G with n vertices and e edges, the sum of the degrees of each vertex is

a.

ne

b.

2n

c.

2e

d.

e^n

Discuss
Answer: (c).2e
Q32.
A complete graph can have ...............

a.

n^2 spanning trees

b.

n^(n-2) spanning trees

c.

n^(n+1) spanning trees

d.

n^n spanning trees

Discuss
Answer: (b). n^(n-2) spanning trees
Q33.
Graph traversal is different from a tree traversal, because:

a.

trees are not connected

b.

graphs may have loops

c.

trees have root

d.

None of these

Discuss
Answer: (c).trees have root
Q34.
The number of edges in a simple, n-vertex, complete graph is

a.

n*(n-2)

b.

n*(n-1)

c.

n*(n-1)/2

d.

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

Discuss
Answer: (c).n*(n-1)/2
Q35.
Graphs are represented using ............

a.

Adjacency tree

b.

Adjacency linked list

c.

Adjacency graph

d.

Adjacency queue

Discuss
Answer: (b).Adjacency linked list
Q36.
The spanning tree of connected graph with 10 vertices contains ..............

a.

9 edges

b.

11 edges

c.

10 edges

d.

9 vertices

Discuss
Answer: (a).9 edges
Q37.
If locality is a concern, you can use ................ to traverse the graph.

a.

Breadth First Search

b.

Depth First Search

c.

Either BFS or DFS

d.

None of these

Discuss
Answer: (b).Depth First Search
Q38.
Which of the following algorithms solves the all-pair shortest path problem?

a.

Floyd's algorithm

b.

Prim's algorithm

c.

Dijkstra's algorithm

d.

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

a.

1

b.

2

c.

3

d.

4

Discuss
Answer: (b).2
Q40.
Which of the following is useful in traversing a given graph by breadth first search?

a.

set

b.

List

c.

stacks

d.

Queue

Discuss
Answer: (d).Queue
Page 4 of 17

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