Practice Discrete Mathematics (1) - Various Operations on Graphs - Discrete Mathematics - Vol 2
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Discrete Mathematics

Practice - Discrete Mathematics

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What defines a subgraph?

💡 Hint: Think of a mini-version of a graph.

Question 2 Easy

Does a proper subgraph equal the original graph?

💡 Hint: Remember, proper means smaller.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What constitutes a proper subgraph?

A subgraph equal to G
A subgraph smaller than G
Any selected edges

💡 Hint: Think of size comparisons.

Question 2

True or False: Every subgraph is also an induced subgraph?

True
False

💡 Hint: Consider selective inclusion in induced subgraphs.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given two graphs, G and H with the same number of vertices but differing numbers of edges, prove they cannot be isomorphic.

💡 Hint: Use the concept of edge mapping to illustrate this.

Challenge 2 Hard

Construct a graph with at least one cut vertex and one cut edge, providing a clear identification of each and demonstrating their impact on connectivity upon their removal.

💡 Hint: Focus on the roles these points play together in your graph layout.

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