Practice Edge Set Cardinality - 4.3.2 | 4. Prof. Ashish Choudhury | Discrete Mathematics - Vol 3
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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 take away.

Question 2

Easy

Define edge connectivity.

💡 Hint: Consider the edges connecting the vertices.

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 relationship between vertex connectivity, edge connectivity, and minimum degree?

  • Vertex ≤ Edge ≤ Minimum Degree
  • Edge ≤ Vertex ≤ Minimum Degree
  • Minimum Degree ≤ Vertex ≤ Edge

💡 Hint: Think about how removing elements affects connectedness.

Question 2

True or False: Edge connectivity is always greater than vertex connectivity.

  • True
  • False

💡 Hint: Recall the definitions of both terms.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation