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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the degree of a vertex connected to 4 edges?
💡 Hint: The degree is simply the count of edges.
Question 2
Easy
Can an undirected graph have an empty edge set? Why?
💡 Hint: Focus on the definition of a graph.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the Handshaking Theorem state?
💡 Hint: Consider how vertices are related through edges.
Question 2
Does a self-loop contribute one or two to a vertex's degree?
- True
- False
💡 Hint: Recall the definition of degree.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a graph with 5 vertices where the degrees of vertices are 4, 3, 3, 2, and 1. Ensure the graph is undirected. Is there any violation of the Handshaking Theorem?
💡 Hint: Check the Handshaking Theorem for validation.
Question 2
In a connected graph, if every vertex has an even degree, show how you can form an Eulerian circuit.
💡 Hint: Reflect on Euler's properties.
Challenge and get performance evaluation