Practice Graph Isomorphism (1.7) - Various Operations on Graphs - Discrete Mathematics - Vol 2
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Graph Isomorphism

Practice - Graph Isomorphism

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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Reference links

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