Practice Prim’s Algorithm (19.2.2) - Greedy algorithms: Interval scheduling

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6 sample questions

Question 1.
What does a greedy algorithm do?
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Think about local vs. global optimization.
Question 2.
What is the goal of Prim's Algorithm?
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Connect all vertices with the least total edge weight.
3Question 3.
What is the primary goal of Prim's Algorithm?
- Maximize the edge weights
- Minimize the edge weights
- Connect all vertices randomly
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Think about what an optimal solution means.
4Question 4.
True or False: Prim's Algorithm can revisit previously made choices.
- True
- False
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Remember the greedy approach.
Question 5.
Given a graph with specific vertices and edges, demonstrate the step-by-step use of Prim's Algorithm, showing each choice and the resulting MST.
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Remember to always choose the smallest weight edge that connects a new vertex.
Question 6.
Explain how a change in edge weights affects the outcome of Prim’s Algorithm. Provide an example.
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Use different scenarios to stress-test the algorithm's adaptability.

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