Practice Graph Isomorphism - 1.7 | 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: Remember that a subgraph must come from a larger graph.

Question 2

Easy

What is a proper subgraph?

💡 Hint: Think about what 'proper' means in terms of inclusion.

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 subgraph that contains all vertices and edges.
  • A subgraph that contains fewer vertices and edges than the original.
  • A graph that is equal to its parent.

💡 Hint: Think about what 'proper' implies regarding size.

Question 2

True or False: Two graphs can be isomorphic if they have different numbers of edges.

  • True
  • False

💡 Hint: Recall the definition of isomorphism.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design two undirected graphs that are isomorphic, then find a suitable bijection between their vertex sets.

💡 Hint: Focus on maintaining edge connections when creating bijections.

Question 2

Create a graph exhibiting properties that prevent it from being isomorphic to another, focusing on unique vertex degrees.

💡 Hint: Consider how vertex degrees affect the ability to find isomorphic matches.

Challenge and get performance evaluation