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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an edge cut in your own words.
💡 Hint: Think about how removing connections can affect overall connectivity.
Question 2
Easy
What is edge connectivity?
💡 Hint: Consider how many connections are crucial for keeping a graph intact.
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 defines an edge cut in a graph?
- A set of vertices
- A subset of edges that keeps the graph connected
- A group of edges whose removal disconnects the graph
💡 Hint: Focus on the outcomes of edge removal related to connectivity.
Question 2
True or False: Every connected graph has at least one edge cut.
- True
- False
💡 Hint: Consider the nature of connectivity in graphs.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a graph with vertices labeled A, B, C, D, and edges (A, B), (B, C), (C, D), (D, A), (B, D). Identify and list all edge cuts, and calculate the edge connectivity.
💡 Hint: Analyze how each edge interacts with the others connected.
Question 2
Given a graph example where edge connectivity = 1, construct such a graph and justify your answer by identifying its edge cut.
💡 Hint: Visualize scenarios where minimal edge connection is pertinent.
Challenge and get performance evaluation