4.3.2 - Edge Set Cardinality
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Practice Questions
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What is vertex connectivity?
💡 Hint: Think about how many vertices you need to take away.
Define edge connectivity.
💡 Hint: Consider the edges connecting the vertices.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between vertex connectivity, edge connectivity, and minimum degree?
💡 Hint: Think about how removing elements affects connectedness.
True or False: Edge connectivity is always greater than vertex connectivity.
💡 Hint: Recall the definitions of both terms.
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Challenge Problems
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Given a graph with a total vertex count of 10 and a missing edge set resulting from removing vertices, derive the edge set cardinality.
💡 Hint: Use the relationships of vertex degrees before and after deletion.
Create a graph where vertex connectivity equals edge connectivity but is less than minimum degree, and explain your reasoning.
💡 Hint: Ensure your selections lead to edges and vertices that satisfy all three conditions.
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