Practice Various Operations on Graphs - 1.1 | 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 the relationship between parts and wholes.

Question 2

Easy

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

💡 Hint: Consider the definitions carefully.

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 a proper subgraph?

  • It must equal the original graph
  • It must have fewer vertices or edges
  • It must be disconnected

💡 Hint: Think about the specific criteria.

Question 2

True or False: An induced subgraph can have all edges of the original graph.

  • True
  • False

💡 Hint: Remember the definition of induced subgraphs.

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Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with vertices A, B, C, and D, where edges AB, AC, and CD exist, identify all possible subgraphs. Is there a proper subgraph?

💡 Hint: Consider combinations of vertices and their edges.

Question 2

Discuss whether graphs can be isomorphic without having the same number of edges. Provide the reasoning.

💡 Hint: Think about the structural properties of graphs.

Challenge and get performance evaluation