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Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define vertex connectivity in your own words.
💡 Hint: Think of how many people would need to leave a party to separate the remaining guests.
Question 2
Easy
What is the minimum degree of a graph?
💡 Hint: Look for the least connected person in a group photo.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the relationship between vertex connectivity and edge connectivity?
💡 Hint: Remember the definitions!
Question 2
True or False: A complete graph's vertex connectivity is 1.
💡 Hint: Consider the definition of a complete graph.
Solve 1 more question and get performance evaluation
Push your limits with challenges.
Question 1
Construct a graph with 6 vertices that has a vertex connectivity of 3, edge connectivity of 4, and a minimum degree of 5. Justify your construction.
💡 Hint: Use trial-and-error and keep connectivity rules in mind.
Question 2
Given a graph with 8 vertices and minimum degree of 3, show that it has at least 12 edges, and explain your reasoning.
💡 Hint: Employ properties like Handshaking Lemma.
Challenge and get performance evaluation