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.

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 8 of 10

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02

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Algorithms

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06

Induction and Recursion

07

Counting Theory

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Boolean Algebra and Modeling Computations

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Group Theory

Q71.

Which algorithm efficiently calculates the single source shortest paths in a Directed Acyclic Graph?

topological sort

hash table

binary search

radix sort

Discuss

Answer: (a).topological sort

Q72.

The _______ of a graph G consists of all vertices and edges of G.

edge graph

line graph

path complement graph

eulerian circuit

Discuss

Answer: (d).eulerian circuit

Q73.

A ______ in a graph G is a circuit which consists of every vertex (except first/last vertex) of G exactly once.

Euler path

Hamiltonian path

Planar graph

Path complement graph

Discuss

Answer: (b).Hamiltonian path

Q74.

A walk has Closed property if ____________

v₀=vₖ

v₀>=vₖ

v < 0

vₖ > 1

Discuss

Answer: (a).v₀=vₖ

Q75.

A trail in a graph can be described as ______________

a walk without repeated edges

a cycle with repeated edges

a walk with repeated edges

a line graph with one or more vertices

Discuss

Answer: (a).a walk without repeated edges

Q76.

Let a graph can be denoted as ncfkedn a kind of ____________

cycle graph

line graph

hamiltonian graph

path graph

Discuss

Answer: (a).cycle graph

Q77.

Determine the edge count of a path complement graph with 14 vertices.

502

345

Discuss

Answer: (c).78

Q78.

The sum of an n-node graph and its complement graph produces a graph called _______

complete graph

bipartite graph

star graph

path-complement graph

Discuss

Answer: (a).complete graph

Q79.

In a directed weighted graph, if the weight of every edge is decreased by 10 units, does any change occur to the shortest path in the modified graph?

209

Discuss

Answer: (c).57

Q80.

Let G(V, E) be a directed graph where every edge has weight as either 1, 2 or 5, what is the algorithm used for the shortest path from a given source vertex to a given destination vertex to get the time complexity of O(V+E)?

BFS

DFS

Binary search

Radix sort

Discuss

Answer: (a).BFS

Page 8 of 10

Welcome to the Graphs and Graphs Properties MCQs Page

Graphs and Graphs Properties MCQs | Page 8 of 10

Explore more Topics under Discrete Mathematics

Logics and Proofs

Sets and Functions

Sequences,Sums and Matrices

Algorithms

Number Theory and Cryptography

Induction and Recursion

Counting Theory

Discrete Probability

Relations

Tree Properties

Boolean Algebra and Modeling Computations

Group Theory

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