Practice Subgraph of a Graph - 1.2 | 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 what a subgraph is.

💡 Hint: Think about which parts of a graph are used to create a subgraph.

Question 2

Easy

What differentiates a proper subgraph from a regular subgraph?

💡 Hint: It must have fewer elements than the parent 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 a subgraph?

  • A complete graph
  • All vertices of G
  • A graph formed from a subset of vertices and edges of G

💡 Hint: Focus on how subgraphs are formed.

Question 2

True or False: An induced subgraph can contain edges connecting vertices not in the subset.

  • True
  • False

💡 Hint: Think carefully about the definition of induced subgraphs.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph G with vertices A, B, C, D, and edges covering all pairs of these vertices, create a proper subgraph and identify whether it remains connected.

💡 Hint: Determine adjacent vertices to include an edge.

Question 2

Explain in detail the significance of induced subgraphs and how they apply in real-life scenarios, such as social networks or transportation systems.

💡 Hint: Consider how focusing on groups simplifies complex relationships.

Challenge and get performance evaluation