Practice Subgraph Of A Graph (1.2) - Various Operations on Graphs - Discrete Mathematics - Vol 2
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Subgraph of a Graph

Practice - Subgraph of a Graph

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what a subgraph is.

💡 Hint: Think about which parts of a graph are used to create a subgraph.

Question 2 Easy

What differentiates a proper subgraph from a regular subgraph?

💡 Hint: It must have fewer elements than the parent graph.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a subgraph?

A complete graph
All vertices of G
A graph formed from a subset of vertices and edges of G

💡 Hint: Focus on how subgraphs are formed.

Question 2

True or False: An induced subgraph can contain edges connecting vertices not in the subset.

True
False

💡 Hint: Think carefully about the definition of induced subgraphs.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph G with vertices A, B, C, D, and edges covering all pairs of these vertices, create a proper subgraph and identify whether it remains connected.

💡 Hint: Determine adjacent vertices to include an edge.

Challenge 2 Hard

Explain in detail the significance of induced subgraphs and how they apply in real-life scenarios, such as social networks or transportation systems.

💡 Hint: Consider how focusing on groups simplifies complex relationships.

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