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

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8 questions

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6 sample questions

Question 1.
Define a subgraph.
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Think about what a smaller graph could include.
Question 2.
What is a cut vertex?
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Consider what happens if you remove important connectors in a network.
3Question 3.
What is a proper subgraph?
- A graph identical to the original
- A smaller graph with fewer vertices/edges
- A disconnected graph
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Consider what distinguishes it from the original graph.
4Question 4.
T/F: A cut vertex increases graph connectivity when removed.
- True
- False
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Visualize what happens to the graph structure.
Question 5.
Given a graph with vertices A, B, C, D connected by edges {AB, AC, CD}, identify and justify any cut vertices.
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Consider how removing each vertex impacts total connections.
Question 6.
Create and analyze a graph demonstrating both cut edges and cut vertices; explain your findings.
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Draw it out to visualize how components are affected.

4 more questions in this section. Enroll free to practise them all.