Practice Graph Connectivity - 1.8 | 27. Various Operations on Graphs | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a subgraph.

💡 Hint: Think about what a smaller graph could include.

Question 2

Easy

What is a cut vertex?

💡 Hint: Consider what happens if you remove important connectors in a network.

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 a proper subgraph?

  • A graph identical to the original
  • A smaller graph with fewer vertices/edges
  • A disconnected graph

💡 Hint: Consider what distinguishes it from the original graph.

Question 2

T/F: A cut vertex increases graph connectivity when removed.

  • True
  • False

💡 Hint: Visualize what happens to the graph structure.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with vertices A, B, C, D connected by edges {AB, AC, CD}, identify and justify any cut vertices.

💡 Hint: Consider how removing each vertex impacts total connections.

Question 2

Create and analyze a graph demonstrating both cut edges and cut vertices; explain your findings.

💡 Hint: Draw it out to visualize how components are affected.

Challenge and get performance evaluation