Practice Proper Subgraph (1.3) - Various Operations on Graphs - Discrete Mathematics - Vol 2
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Proper Subgraph

Practice - Proper Subgraph

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what a proper subgraph is.

💡 Hint: Think about what makes a subset distinct.

Question 2 Easy

What is an induced subgraph?

💡 Hint: Consider the vertex connections.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a proper subgraph?

Contains all vertices and edges
Is different from the parent graph
Has no relation to the parent graph

💡 Hint: Focus on the relationship to the parent graph.

Question 2

A proper subgraph can include which of the following?

True
False

💡 Hint: Think about subset relationships.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given graph G with vertices {A, B, C, D} and edges {(A, B), (B, C), (C, D)}, identify a proper subgraph and explain how it is determined.

💡 Hint: Look for missing connections.

Challenge 2 Hard

Create a graph with an induced subgraph that is also a proper subgraph. Explain your reasoning.

💡 Hint: Consider vertex connections carefully.

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Reference links

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