Welcome to the Tree Properties MCQs Page

Dive deep into the fascinating world of Tree Properties with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Tree Properties, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Tree 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 Tree 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 Tree Properties. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Tree Properties MCQs | Page 1 of 6

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Graphs and Graphs Properties

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Boolean Algebra and Modeling Computations

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Group Theory

Q1.

An undirected graph G which is connected and acyclic is called ____________

bipartite graph

cyclic graph

tree

forest

Discuss

Answer: (c).tree

Q2.

An n-vertex graph has ______ edges.

n²

n-1

n*n

n*(n+1)/2

Discuss

Answer: (b).n-1

Q3.

What is a star tree?

A tree having a single internal vertex and n-1 leaves

A tree having n vertices arranged in a line

A tree which has 0 or more connected subtrees

A tree which contains n vertices and n-1 cycles

Discuss

Answer: (a).A tree having a single internal vertex and n-1 leaves

Q4.

A polytree is called _______________

directed acyclic graph

directed cyclic graph

bipartite graph

connected graph

Discuss

Answer: (a).directed acyclic graph

Q5.

The tree elements are called __________

vertices

nodes

points

edges

Discuss

Answer: (b).nodes

Q6.

In an n-ary tree, each vertex has at most ______ children.

n⁴

n*n

n-1

Discuss

Answer: (a).n

Q7.

A linear graph consists of vertices arranged in a line.

false

true

either true or false

cannot determined

Discuss

Answer: (b).true

Q8.

Two labeled trees are isomorphic if ____________

graphs of the two trees are isomorphic

the two trees have same label

graphs of the two trees are isomorphic and the two trees have the same label

graphs of the two trees are cyclic

Discuss

Answer: (c).graphs of the two trees are isomorphic and the two trees have the same label

Q9.

A graph which consists of disjoint union of trees is called ______

bipartite graph

forest

caterpillar tree

labeled tree

Discuss

Answer: (b).forest

Q10.

What is a bipartite graph?

a graph which contains only one cycle

a graph which consists of more than 3 number of vertices

a graph which has odd number of vertices and even number of edges

a graph which contains no cycles of odd length

Discuss

Answer: (d).a graph which contains no cycles of odd length

Page 1 of 6

Welcome to the Tree Properties MCQs Page

Tree Properties MCQs | Page 1 of 6

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

Graphs and Graphs Properties

Boolean Algebra and Modeling Computations

Group Theory

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