Practice Graph Connectivity (1.8) - Various Operations on Graphs - Discrete Mathematics - Vol 2
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Graph Connectivity

Practice - Graph Connectivity

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a subgraph.

💡 Hint: Think about what a smaller graph could include.

Question 2 Easy

What is a cut vertex?

💡 Hint: Consider what happens if you remove important connectors in a network.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a proper subgraph?

A graph identical to the original
A smaller graph with fewer vertices/edges
A disconnected graph

💡 Hint: Consider what distinguishes it from the original graph.

Question 2

T/F: A cut vertex increases graph connectivity when removed.

True
False

💡 Hint: Visualize what happens to the graph structure.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with vertices A, B, C, D connected by edges {AB, AC, CD}, identify and justify any cut vertices.

💡 Hint: Consider how removing each vertex impacts total connections.

Challenge 2 Hard

Create and analyze a graph demonstrating both cut edges and cut vertices; explain your findings.

💡 Hint: Draw it out to visualize how components are affected.

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Reference links

Supplementary resources to enhance your learning experience.