Practice Definition Of A Graph (24.1.1) - Graph Theory Basics - Discrete Mathematics - Vol 2
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Definition of a Graph

Practice - Definition of a Graph

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are the two main components of a graph?

💡 Hint: Think of what makes up a graph.

Question 2 Easy

Define a directed graph.

💡 Hint: Does direction matter in this type of graph?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a graph?

A collection of points
A collection of vertices and edges
A type of equation

💡 Hint: Consider what components make up the structure of a graph.

Question 2

In a directed graph, do edges show direction?

True
False

💡 Hint: Think about the meaning of directed edges.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with 4 vertices and edges between vertices 1-2, 2-3, 3-4, and 4-1, calculate the degree of each vertex and verify the handshaking theorem.

💡 Hint: Count the connections starting from every vertex.

Challenge 2 Hard

Construct a directed graph with at least three vertices where one vertex has a self-loop. Describe its edge and vertex characteristics.

💡 Hint: Remember how self-loops affect the degree count.

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