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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is vertex connectivity?
💡 Hint: Think about how many vertices you need to remove to make a graph fail.
Question 2
Easy
Define edge connectivity.
💡 Hint: Consider the edges that connect the different parts of the 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 is the definition of vertex connectivity?
- A) Minimum edges to disconnect a graph
- B) Minimum vertices to disconnect a graph
- C) Total number of edges in a graph
- D) Degree of the highest vertex
💡 Hint: Think about how many roads (vertices) you'd need to block to stop traffic.
Question 2
Is it true that graph connectivity is higher in complete graphs than in non-complete ones?
- True
- False
💡 Hint: Consider what makes a complete graph complete.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a non-complete graph with at least 6 nodes and identify its vertex and edge connectivity metrics.
💡 Hint: Visualize how many paths lead to disconnecting the graph.
Question 2
Prove that in a non-complete graph, at least one of the connectivity metrics must be less than the total number of nodes.
💡 Hint: Think about how the total connection must yield a less-than-n metric.
Challenge and get performance evaluation