Practice Various Operations On Graphs (1.1) - Various Operations on Graphs
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Various Operations on Graphs

Practice - Various Operations on Graphs

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a subgraph.

💡 Hint: Think about the relationship between parts and wholes.

Question 2 Easy

What is the difference between a subgraph and a proper subgraph?

💡 Hint: Consider the definitions carefully.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a proper subgraph?

It must equal the original graph
It must have fewer vertices or edges
It must be disconnected

💡 Hint: Think about the specific criteria.

Question 2

True or False: An induced subgraph can have all edges of the original graph.

True
False

💡 Hint: Remember the definition of induced subgraphs.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with vertices A, B, C, and D, where edges AB, AC, and CD exist, identify all possible subgraphs. Is there a proper subgraph?

💡 Hint: Consider combinations of vertices and their edges.

Challenge 2 Hard

Discuss whether graphs can be isomorphic without having the same number of edges. Provide the reasoning.

💡 Hint: Think about the structural properties of graphs.

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