Practice Edge Connectivity Of A Graph (28.1.5) - Vertex and Edge Connectivity

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6 sample questions

Question 1.
What is a vertex cut?
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Think about what happens to a graph when specific vertices are removed.
Question 2.
Define edge connectivity.
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Consider how edges relate to the overall structure of a graph.
3Question 3.
What is a vertex cut?
- A single vertex removal
- A subset that disconnects the graph
- An edge cut
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Recall what disconnection means in the context of graph theory.
4Question 4.
True or False: Vertex connectivity is always less than edge connectivity.
- True
- False
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Consider the definitions of both types of connectivity.
Question 5.
You have a graph G with 5 vertices forming a pentagon. Identify the vertex connectivity and explain your reasoning.
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Consider how cycles behave when vertices are removed.
Question 6.
In a graph with 6 vertices where vertex degree 3 occurs, analyze its edge connectivity. What can you deduce?
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Take into account the minimum degree per vertex.

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