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Welcome to the Graphs and Graphs Properties MCQs Page

Dive deep into the fascinating world of Graphs and Graphs Properties with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Graphs and Graphs Properties, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Graphs and Graphs Properties, 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 Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Graphs and Graphs Properties. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Graphs and Graphs Properties. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Graphs and Graphs Properties MCQs | Page 1 of 10

Explore more Topics under Discrete Mathematics

Q1.
The graph given below is an example of _________

a.

non-lattice poset

b.

semilattice

c.

partial lattice

d.

bounded lattice

Discuss
Answer: (a).non-lattice poset
Q2.
The graph is the smallest non-modular lattice N₅. A lattice is _______ if and only if it does not have a _______ isomorphic to N₅.

a.

non-modular, complete lattice

b.

moduler, semilattice

c.

non-modular, sublattice

d.

modular, sublattice

Discuss
Answer: (d).modular, sublattice
Q3.
A directed graph or digraph can have directed cycle in which ______

a.

starting node and ending node are different

b.

starting node and ending node are same

c.

minimum four vertices can be there

d.

ending node does not exist

Discuss
Answer: (b).starting node and ending node are same
Q4.
Let, D = <A, R> be a directed graph or digraph,then D’ = <A’, R’> is a subgraph if ___________

a.

A’ ⊂ A and R’ = R ∩ (A’ x A’)

b.

A’ ⊂ A and R ⊂ R’ ∩ (A’ x A’)

c.

R’ = R ∩ (A’ x A’)

d.

A’ ⊆ A and R ⊆ R’ ∩ (A’ x A’)

Discuss
Answer: (a).A’ ⊂ A and R’ = R ∩ (A’ x A’)
Q5.
The graph representing universal relation is called _______

a.

complete digraph

b.

partial digraph

c.

empty graph

d.

partial subgraph

Discuss
Answer: (a).complete digraph
Q6.
What is a complete digraph?

a.

connection of nodes without containing any cycle

b.

connecting nodes to make at least three complete cycles

c.

start node and end node in a graph are same having a cycle

d.

connection of every node with every other node including itself in a digraph

Discuss
Answer: (d).connection of every node with every other node including itself in a digraph
Q7.
Disconnected components can be created in case of ___________

a.

undirected graphs

b.

partial subgraphs

c.

disconnected graphs

d.

complete graphs

Discuss
Answer: (c).disconnected graphs
Q8.
A simple graph can have _______

a.

multiple edges

b.

self loops

c.

parallel edges

d.

no multiple edges, self-loops and parallel edges

Discuss
Answer: (d).no multiple edges, self-loops and parallel edges
Q9.
Degree of a graph with 12 vertices is _______

a.

25

b.

56

c.

24

d.

212

Discuss
Answer: (c).24
Q10.
In a finite graph the number of vertices of odd degree is always ______

a.

even

b.

odd

c.

even or odd

d.

infinite

Discuss
Answer: (a).even
Page 1 of 10

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