4.3.1 - Unknown Graph G
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define vertex connectivity in your own words.
💡 Hint: Think of how many people would need to leave a party to separate the remaining guests.
What is the minimum degree of a graph?
💡 Hint: Look for the least connected person in a group photo.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between vertex connectivity and edge connectivity?
💡 Hint: Remember the definitions!
True or False: A complete graph's vertex connectivity is 1.
💡 Hint: Consider the definition of a complete graph.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.