Graph Theory Quizzes, Questions & Answers

Graph Terminology Quizzes

Advanced Graph Terminology and Structural Concepts Quiz

Think you’re comfortable with basic graph vocabulary? This quiz takes you into deeper territory, where you’ll apply core definitions to more sophisticated structures li...

Questions: 15 | Attempts: 30 | Last updated: Jan 27, 2026

Sample Question
A graph consists of:

Vertices only

Edges only

Vertices and edges

Paths only

Fundamentals of Graph Terminology Quiz

Are you ready to explore the building blocks of graph theory? This quiz introduces the essential terms that describe how graphs work — from vertices and edges to walks, trail...

Questions: 15 | Attempts: 17 | Last updated: Jan 27, 2026

Sample Question
A graph with no edges is called a:

Path

Null graph

Cycle

Tree

Advanced Graph Terminology

Want to push your graph vocabulary further? In this quiz, you’ll test your understanding of advanced ideas such as connectivity, isomorphism, and structural comparisons. You&...

Questions: 20 | Attempts: 13 | Last updated: Dec 17, 2025

Sample Question
In a directed graph (digraph), each edge is represented as:

An ordered pair (u, v)

An unordered pair {u, v}

A weighted pair (u, v, w)

A bidirectional pair

All Graph Terminology Quizzes

Types Of Graphs Quizzes

ALG 4/15/2014 Interprete Graphs 2 [30]

This quiz titled 'ALG 4\/15\/2014 Interprete Graphs 2' assesses skills in interpreting various types of graphs. It is designed to enhance mathematical reasoning and graph comprehen...

Questions: 30 | Attempts: 146 | Last updated: Aug 06, 2025

Sample Question

Option 1

Option 2

Option 3

Option 4

Graph Theory

Networks are everywhere—from social media to road maps. In this quiz, you’ll explore the basics of graph theory, learning how vertices and edges form structures that mo...

Questions: 10 | Attempts: 34 | Last updated: Jan 20, 2026

Sample Question
A graph with no edges is called a __________.

Empty graph

Null graph

Simple graph

Trivial graph

All Types Of Graphs Quizzes

Degree Of Vertex Quizzes

In-Depth Degree Analysis in Graph Theory Quiz

Ready to dive deeper into vertex degrees as a powerful analytical tool? This postgraduate-level quiz pushes your understanding further by exploring degree conditions in multigraphs...

Questions: 15 | Attempts: 15 | Last updated: Jan 27, 2026

Sample Question
In a simple undirected graph, the degree of a vertex (v) is:

The number of edges in the graph

The number of neighbours of (v)

The number of paths starting at (v)

The number of loops at (v)

Degrees of Vertices in Graphs Quiz

Are you ready to explore how edges reveal the structure of a graph? In this quiz, you’ll learn how to calculate the degree of a vertex, interpret loops and multiple edges, an...

Questions: 15 | Attempts: 11 | Last updated: Jan 27, 2026

Sample Question
In an undirected graph, the degree of a vertex is:

The number of vertices in the graph

The number of edges incident with the vertex

The number of paths starting at the vertex

The length of the longest path through the vertex

Advanced Vertex Degrees and Graph Properties Quiz

Think you can infer a graph’s structure just from its degree sequence? This graduate-level quiz challenges your understanding of degree-based reasoning in simple graphs, mult...

Questions: 15 | Attempts: 11 | Last updated: Jan 27, 2026

Sample Question
In a simple undirected graph, the degree of a vertex (v) is:

The number of edges in the graph

The number of neighbours of (v)

The number of loops at (v)

The number of paths starting at (v)

All Degree Of Vertex Quizzes

Euler Paths Quizzes

Euler Paths and Circuits Basics Quiz

Are you ready to explore how graphs can be traversed edge by edge? This quiz introduces you to Euler paths and Euler circuits — special walks that use every edge exactly once...

Questions: 15 | Attempts: 37 | Last updated: Jan 27, 2026

Sample Question
An Euler path in a graph is a path that:

Visits every vertex exactly once

Uses every edge at least once

Uses every edge exactly once

Uses every vertex and edge exactly once

In-Depth Eulerian Graph Theory and Trail Analysis Quiz

Ready to dive deeper into the theory behind Eulerian graphs? This postgraduate-level quiz explores not just the definitions, but the structural logic behind Euler walks in undirect...

Questions: 15 | Attempts: 14 | Last updated: Jan 27, 2026

Sample Question
Which best describes an Euler walk in a finite undirected graph?

A walk that visits every vertex exactly once

A closed walk containing all vertices

A walk that uses every edge exactly once

A walk of maximum possible length

Advanced Concepts in Euler Trails and Circuits Quiz

Think you can quickly determine how a graph behaves just by looking at degrees and structure? This graduate-level quiz challenges your understanding of Euler trails in both undirec...

Questions: 15 | Attempts: 12 | Last updated: Jan 27, 2026

Sample Question
An Euler trail in an undirected graph is:

A closed walk that visits every vertex exactly once

A walk that uses every edge at least once

A walk that uses every edge exactly once (not necessarily closed)

Any maximal path

All Euler Paths Quizzes

Hamiltonian Paths Quizzes

Test on Euler and Hamilton Paths and Circuits

Test your knowledge of Euler and Hamilton Paths and Circuits with this amazing quiz and determine whether a graph has an Euler or a Hamilton path. An Euler path is a path in a grap...

Questions: 13 | Attempts: 10021 | Last updated: Oct 19, 2025

Sample Question
List the vertices in the above graph:

{A,B,C,D,E,F,G,H}

{A,B,F,G,H}

{D,E}

{F,G,H}

Hamiltonian Paths Basics Quiz

Are you ready to explore how paths move through every vertex in a graph? This quiz walks you through the core ideas behind Hamiltonian paths—what they are, how they behave, a...

Questions: 15 | Attempts: 21 | Last updated: Jan 27, 2026

Sample Question
A Hamiltonian path in a graph is a path that:

Uses every edge exactly once

Visits every vertex exactly once

Returns to the starting vertex

Has no repeated edges

Advanced Hamiltonian Path Theory Quiz

Think you’re ready to take your Hamiltonian knowledge to the next level? This graduate-level quiz challenges you to apply deeper graph-theoretic ideas, from strict degree con...

Questions: 15 | Attempts: 12 | Last updated: Dec 12, 2025

Sample Question
A graph is Hamiltonian if it contains:

A path using all edges

A cycle using all vertices once

A path using all vertices

A cycle using all edges

All Hamiltonian Paths Quizzes

Graph Representations Quizzes

equation functions and graph representation quiz

Let's start this quiz it will give you the different functions of mathematics. Find out now how much do you know about it!

Questions: 21 | Attempts: 599 | Last updated: Sep 05, 2025

Sample Question
Which situation could be represented by the graph below?

A person slows down and then travels at a constant speed.

A person travels at a constant speed and then slows down.

A person travels at a constant speed and then speeds up.

A person speeds up and then travels at a constant speed.

6052 Matrix from a Network

The '6052 Matrix from a Network' quiz assesses understanding of converting network diagrams linking towns into a matrix representation, focusing on graph theory and matrix operatio...

Questions: 32 | Attempts: 279 | Last updated: Apr 13, 2025

Sample Question
The network diagram above shows the roads that link four towns.If turned into a 4x4 matrix A, what would be the value of element

6152 Setting up Transition Matrices

This quiz titled '6152 Setting up Transition Matrices' assesses the ability to create and analyze transition matrices based on a given network diagram. It focuses on extracting spe...

Questions: 34 | Attempts: 160 | Last updated: Mar 20, 2025

Sample Question
Create a transition matrix, T, to represent the network diagram above. Use columns to define the starting point. What is the value of ?

0.4

All Graph Representations Quizzes

Top Trending Graph Theory Quizzes

Graph Implementation with Adjacency Matrix and List

This assessment focuses on graph implementation using adjacency matrices and lists. It evaluates understanding of key concepts like edge representation, breadth-first search, and data structures for graph traversal. This...

Questions: 9 | Attempts: 11 | Last updated: Apr 22, 2026

Sample Question 1
What is the purpose of the 'init' function in the adjacency matrix implementation?

To add edges to the graph

To initialize the matrix to zero

To print the adjacency matrix

To create a new graph

Sample Question 2
In the adjacency matrix, what value represents the absence of an edge between two vertices?

1

0

-1

Null

Sample Question 3
Which function is used to add an edge in the adjacency list representation?

Insertedge

Addedge

Creategraph

Print