Practice Discrete Mathematics - 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

What defines a subgraph?

💡 Hint: Think of a mini-version of a graph.

Question 2

Easy

Does a proper subgraph equal the original graph?

💡 Hint: Remember, proper means smaller.

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 constitutes a proper subgraph?

  • A subgraph equal to G
  • A subgraph smaller than G
  • Any selected edges

💡 Hint: Think of size comparisons.

Question 2

True or False: Every subgraph is also an induced subgraph?

  • True
  • False

💡 Hint: Consider selective inclusion in induced subgraphs.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given two graphs, G and H with the same number of vertices but differing numbers of edges, prove they cannot be isomorphic.

💡 Hint: Use the concept of edge mapping to illustrate this.

Question 2

Construct a graph with at least one cut vertex and one cut edge, providing a clear identification of each and demonstrating their impact on connectivity upon their removal.

💡 Hint: Focus on the roles these points play together in your graph layout.

Challenge and get performance evaluation