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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 3 of 10

Explore more Topics under Discrete Mathematics

Q21.
Suppose P₁ is a partially ordered class and a cut of P₁ is pair (D, T) of nonempty subclasses of P₁ satisfies which of the following properties?

a.

D∩T=Ø

b.

D∪T=P₁

c.

xyz∈T

d.

z∈T and zx∈D

Discuss
Answer: (a).D∩T=Ø
Q22.
Let G be the graph defined as the Hasse diagram for the ⊆ relation on the set S{1, 2,…, 18}. How many edges are there in G?

a.

43722

b.

2359296

c.

6487535

d.

131963

Discuss
Answer: (b).2359296
Q23.
A Poset in which every pair of elements has both a least upper bound and a greatest lower bound is termed as _______

a.

sublattice

b.

lattice

c.

trail

d.

walk

Discuss
Answer: (b).lattice
Q24.
In the poset (Z⁺, |) (where Z⁺ is the set of all positive integers and | is the divides relation) are the integers 9 and 351 comparable?

a.

comparable

b.

not comparable

c.

comparable but not determined

d.

determined but not comparable

Discuss
Answer: (a).comparable
Q25.
If every two elements of a poset are comparable then the poset is called ________

a.

sub ordered poset

b.

totally ordered poset

c.

sub lattice

d.

semigroup

Discuss
Answer: (b).totally ordered poset
Q26.
______ and _______ are the two binary operations defined for lattices.

a.

Join, meet

b.

Addition, subtraction

c.

Union, intersection

d.

Multiplication, modulo division

Discuss
Answer: (a).Join, meet
Q27.
A ________ has a greatest element and a least element which satisfy 0<=a<=1 for every a in the lattice(say, L).

a.

semilattice

b.

join semilattice

c.

meet semilattice

d.

bounded lattice

Discuss
Answer: (d).bounded lattice
Q28.
A sublattice(say, S) of a lattice(say, L) is a convex sublattice of L if _________

a.

x>=z, where x in S implies z in S, for every element x, y in L

b.

x=y and y<=z, where x, y in S implies z in S, for every element x, y, z in L

c.

x<=y<=z, where x, y in S implies z in S, for every element x, y, z in L

d.

x=y and y>=z, where x, y in S implies z in S, for every element x, y, z in L

Discuss
Answer: (c).x<=y<=z, where x, y in S implies z in S, for every element x, y, z in L
Q29.
Every poset that is a complete semilattice must always be a _______

a.

sublattice

b.

complete lattice

c.

free lattice

d.

partial lattice

Discuss
Answer: (b).complete lattice
Q30.
A free semilattice has the _______ property.

a.

intersection

b.

commutative and associative

c.

identity

d.

universal

Discuss
Answer: (d).universal
Page 3 of 10

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