Practice Induced Subgraph - 1.4 | 27. Various Operations on Graphs | Discrete Mathematics - Vol 2
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1.4 - Induced Subgraph

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define an induced subgraph.

💡 Hint: Think about the subset of vertices and how edges are treated.

Question 2

Easy

What is the difference between a subgraph and a proper subgraph?

💡 Hint: Focus on the criteria that separates these types.

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 induced subgraph?

  • A subgraph with all edges intact
  • A subgraph only containing selected vertices and their connecting edges
  • A subgraph with no edges

💡 Hint: Focus on what makes the edges part of the induced subgraph.

Question 2

True or False: An induced subgraph can have edges that connect vertices not in the selected set.

  • True
  • False

💡 Hint: Reflect on the definition of how induced subgraphs function.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a graph consisting of vertices {a, b, c, d, e} and edges {(a, b), (b, c), (a, c), (c, d)}. If we select W = {a, b, d}, describe the edges in the induced subgraph.

💡 Hint: Study the connections based on the selected vertices carefully.

Question 2

In a real-world scenario, explain how you might use induced subgraphs to study a social network and provide an example with 3 vertices.

💡 Hint: Consider the network structure and relationship implications.

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