Practice Simple Graph Definition (24.1.3) - Graph Theory Basics - Discrete Mathematics - Vol 2
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Simple Graph Definition

Practice - Simple Graph Definition

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a graph?

💡 Hint: Think about how you can visualize connections.

Question 2 Easy

What does it mean for a graph to be directed?

💡 Hint: Consider a one-way street for directions.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the defining characteristic of a simple graph?

A graph with many edges between nodes.
A graph with no self-loops and at most one edge between any two vertices.
A graph with no edges.

💡 Hint: Think about the restrictions placed on connections.

Question 2

True or False: In a directed graph, edges can be traversed in both directions.

True
False

💡 Hint: Consider how directed edges behave.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a simple graph with at least 4 vertices and demonstrate the degrees of each vertex. Explain any observations you make.

💡 Hint: Ensure your graph clearly shows connections and follows the simple graph criteria.

Challenge 2 Hard

Discuss how adding a self-loop to a vertex changes the properties of a simple graph. Give an example.

💡 Hint: Recall how degrees are calculated and what constitutes a simple graph.

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